Metrics for Toniolo and Linder, Equation (10-)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze967.0ms (5.3%)

Memory

-5.8MiB live, 838.1MiB 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)

sample2.8s (15.7%)

Memory

-121.8MiB live, 3 919.5MiB allocated

Samples

1.1s	4 379×	0	valid
493.0ms	1 550×	2	valid
478.0ms	1 242×	3	valid
341.0ms	1 080×	1	valid
2.0ms	5×	4	valid

Precisions

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

ival-sin: 330.0ms (16.6% of total)

ival-div: 321.0ms (16.2% of total)

ival-mult: 292.0ms (14.7% of total)

adjust: 256.0ms (12.9% of total)

ival-pow: 222.0ms (11.2% of total)

ival-pow2: 183.0ms (9.2% of total)

ival-tan: 162.0ms (8.2% of total)

ival-add: 116.0ms (5.8% of total)

ival-sub: 79.0ms (4% 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

explain360.0ms (2%)

Memory

13.4MiB live, 524.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
85	-	1	(-2.063741928252149e-54 1.2510067536685714e+76 2155386684381939.8)	`(.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)))`
69	-	4	(4.135855188200518e-106 -3.761052775816421e-160 -7.311011185024179e-128)	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`
66	-	1	(-3.0685362839802695e-204 -2.5966574994310155e+263 5.126380399495795e-205)	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`
9	-	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	65	2
`*.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**	35	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	underflow	70
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	underflow	93
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	underflow	82
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	74
↳	`(*.f64 l l)`	underflow	62
↳	`(/.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	68
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	68
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	68
`*.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**	32	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	84
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	69
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	75
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	82
↳	`(*.f64 l l)`	overflow	63
↳	`(/.f64 k t)`	underflow	30
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	underflow	73
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	underflow	73
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/u	22	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	74
↳	`(*.f64 l l)`	underflow	62
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/o	21	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	82
↳	`(*.f64 l l)`	overflow	63
`*.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**	11	0
`*.f64`	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	*no**	9	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/n	7	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	74
`*.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/u	6	0
↳	`(*.f64 l l)`	underflow	62
`*.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**	6	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/o	5	0
↳	`(*.f64 l l)`	overflow	63
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/n	4	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	82
`/.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	69
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	75
↳	`(.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	66
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	68
↳	`(/.f64 k t)`	overflow	30
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	84
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	82
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	68
↳	`(*.f64 l l)`	overflow	63
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	68

Confusion

	Predicted +	Predicted -
+	161	3
-	28	64

Precision

0.8518518518518519

Recall

0.9817073170731707

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	161	0	3
-	28	2	62

Precision?

0.8429319371727748

Recall?

0.9817073170731707

Freqs

test

number	freq
0	67
1	149
2	38
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	238×	0	valid
45.0ms	92×	1	valid
35.0ms	102×	2	valid
35.0ms	78×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 268 to 61 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 38.0ms (29.7% of total)

adjust: 16.0ms (12.5% of total)

ival-pow: 14.0ms (11% of total)

ival-mult: 14.0ms (11% of total)

ival-pow2: 12.0ms (9.4% of total)

ival-tan: 12.0ms (9.4% of total)

ival-sin: 10.0ms (7.8% of total)

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

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

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

exact: 1.0ms (0.8% of total)

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

preprocess331.0ms (1.8%)

Memory

-8.5MiB live, 379.8MiB 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(/.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

▶

37.5%

(/.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)

simplify291.0ms (1.6%)

Memory

12.4MiB live, 407.2MiB 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)

localize103.0ms (0.6%)

Memory

11.3MiB live, 156.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.2032810395559213	(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))
accuracy	15.000064996368428	(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	15.559591527317155	(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy	20.140272484531675	(.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

25.0ms	46×	1	valid
20.0ms	119×	0	valid
17.0ms	39×	3	valid
16.0ms	51×	2	valid
0.0ms	1×	4	valid

Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow2: 15.0ms (24.8% of total)

ival-div: 10.0ms (16.5% of total)

ival-mult: 9.0ms (14.9% of total)

adjust: 7.0ms (11.6% of total)

ival-sin: 6.0ms (9.9% of total)

ival-tan: 5.0ms (8.3% of total)

ival-pow: 3.0ms (5% of total)

ival-sub: 2.0ms (3.3% of total)

ival-add: 2.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory

9.7MiB live, 80.7MiB 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) (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 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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
6.0ms	t	@	inf	(/ 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	l	@	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	l	@	0	(* (/ (pow t 3) (* l l)) (sin k))

simplify290.0ms (1.6%)

Memory

-31.8MiB live, 384.6MiB 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.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 t (.f64 k k))))
(* 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))

rewrite289.0ms (1.6%)

Memory

9.9MiB live, 364.1MiB 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)))

eval252.0ms (1.4%)

Memory: 38.4MiB live, 266.6MiB allocated
Compiler: Compiled 52 331 to 3 956 computations (92.4% saved)

prune262.0ms (1.4%)

Memory

18.3MiB live, 442.0MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1 253	24	1 277
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 254	24	1 278

Accuracy

82.7%

Counts

1 278 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l))))
	33.6%	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 t (.f64 t (sin.f64 k))))) #s(literal 2 binary64)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))
	40.0%	(/.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)))))
	36.5%	(/.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))
	40.5%	(/.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))
	38.3%	(/.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)))))))
	36.7%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (/.f64 (sin.f64 k) l) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))))
	35.9%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))))
▶	41.0%	(/.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)))))))
	33.8%	(/.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)))))
	33.8%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 t (.f64 t t))) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (.f64 l l))))
	47.4%	(/.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))))
	43.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 (*.f64 t t) l) 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))))
	33.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 t (.f64 t t)) (.f64 l l))) (tan.f64 k)) (sin.f64 k)))
	37.7%	(/.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))))
	33.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (.f64 l l)) (/.f64 (.f64 k k) (.f64 t t)))))
▶	36.2%	(/.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)))))))
▶	73.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (*.f64 l (cos.f64 k))))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
	59.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
	46.9%	#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))))
▶	73.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
▶	60.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))

Compiler

Compiled 1 384 to 772 computations (44.2% saved)

simplify276.0ms (1.5%)

Memory

-51.3MiB live, 380.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

12 788×	`lower-fma.f64`
12 788×	`lower-fma.f32`
7 834×	`lower-*.f32`
7 800×	`lower-*.f64`
3 366×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	576
0	84	556
1	187	532
2	773	512
3	4956	512
0	8160	512

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

localize435.0ms (2.4%)

Memory

-5.3MiB live, 387.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.240566259768442	(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy	0.29977814365342514	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (*.f64 l (cos.f64 k))))))
accuracy	7.344546020083032	(.f64 t (.f64 k k))
accuracy	15.937417701791011	(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (*.f64 l (cos.f64 k))))
accuracy	7.920460580999893	(/.f64 (*.f64 t t) l)
accuracy	13.487164114227227	(.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))
accuracy	15.170577022136182	(/.f64 (.f64 k k) (.f64 t t))
accuracy	15.861454122713873	(.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))))))
accuracy	8.58293464908505	(/.f64 t (*.f64 l l))
accuracy	15.170577022136182	(/.f64 (.f64 k k) (.f64 t t))
accuracy	18.26734468633081	(.f64 (/.f64 t (.f64 l l)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))
accuracy	18.649971797553125	(.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))))))
accuracy	0.12175751953688405	(.f64 (.f64 k k) (*.f64 k k))
accuracy	3.836007846126919	(.f64 t (.f64 (.f64 k k) (.f64 k k)))
accuracy	14.495806558141906	#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	15.8677730031721	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
accuracy	0.13671875	(*.f64 l (cos.f64 k))
accuracy	0.240566259768442	(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy	7.344546020083032	(.f64 t (.f64 k k))
accuracy	15.28671799062039	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))))

Samples

50.0ms	124×	0	valid
40.0ms	51×	2	valid
34.0ms	39×	3	valid
25.0ms	41×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 506 to 48 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 34.0ms (32.5% of total)

ival-div: 25.0ms (23.9% of total)

adjust: 11.0ms (10.5% of total)

ival-pow2: 8.0ms (7.6% of total)

ival-sin: 8.0ms (7.6% of total)

ival-tan: 5.0ms (4.8% of total)

ival-cos: 5.0ms (4.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series121.0ms (0.7%)

Memory

9.2MiB live, 168.2MiB 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.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 (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))) (patch (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))) #<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 t (.f64 l l)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (patch (.f64 (/.f64 t (.f64 l 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 t t) (.f64 (/.f64 t (.f64 l l)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))) (patch (/.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))))))) #<representation binary64>) () ())
#s(alt (.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)))))) (patch (.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)))))) #<representation binary64>) () ())
#s(alt (.f64 t t) (patch (.f64 t t) #<representation binary64>) () ())
#s(alt (.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)))))) (patch (.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)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (patch (.f64 (/.f64 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 t t) l) (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))) (patch (/.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))))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 t t) l) (patch (/.f64 (.f64 t t) l) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (.f64 l (cos.f64 k)))))) (patch (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (*.f64 l (cos.f64 k)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (.f64 l (cos.f64 k))))) (patch #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (*.f64 l (cos.f64 k))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (.f64 l (cos.f64 k)))) (patch (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (.f64 l (.f64 l (cos.f64 k)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) (patch (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 k k)) (patch (.f64 t (.f64 k 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 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<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 t (.f64 l l)) (patch (/.f64 t (.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.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 (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))))) #<representation binary64>) () ())) ())
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.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 (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))))) #<representation binary64>) () ())) ())
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#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 (/ t (pow l 2)) (taylor 0 t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf t) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor 0 l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ t (pow l 2)) (taylor -inf l) (#s(alt (/.f64 t (.f64 l l)) (patch (/.f64 t (.f64 l l)) #<representation binary64>) () ())) ())

Calls

186 calls:

Time	Variable		Point	Expression
24.0ms	t	@	-inf	(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
6.0ms	t	@	0	(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
4.0ms	t	@	-inf	(/ t (* l l))
3.0ms	l	@	inf	(* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))
2.0ms	k	@	inf	(/ (* 2 (* l (* l (cos k)))) (* (pow (sin k) 2) (* t (* k k))))

simplify390.0ms (2.1%)

Memory

19.4MiB live, 471.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 584×	`lower-fma.f64`
11 584×	`lower-fma.f32`
7 762×	`lower-*.f64`
7 762×	`lower-*.f32`
4 780×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	10567
1	971	10483
2	3777	10192
0	8543	10084

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 743

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)))))
(* 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)))
(/ (+ (* 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)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (pow l 2))
(+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))
(+ (* 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)))))))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(pow l 2)
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos 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)))))
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(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k 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 (.f64 k k) (fma.f64 (.f64 k 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 k (.f64 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))
(* 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 k k) (.f64 l (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))
(* (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 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(pow k 4)
(.f64 (.f64 k k) (*.f64 k k))
(/ (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))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ t (pow l 2))
(/.f64 t (*.f64 l l))

rewrite362.0ms (2%)

Memory

33.2MiB live, 511.3MiB allocated

Rules

6 078×	`lower-*.f32`
6 044×	`lower-*.f64`
4 706×	`lower-/.f32`
4 688×	`lower-/.f64`
2 668×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	434
0	84	412
1	312	382
2	2244	376
0	8534	376

Stop Event

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

Counts

27 → 579

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

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.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 t (*.f64 k k))))))
(neg.f64 (/.f64 (.f64 (.f64 l (.f64 l (cos.f64 k))) #s(literal -2 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.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 (*.f64 k k))))
(/.f64 (.f64 (.f64 l (.f64 l (cos.f64 k))) #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 t (*.f64 k k)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 t (.f64 k k)))
(/.f64 (neg.f64 (.f64 (.f64 l (.f64 l (cos.f64 k))) #s(literal -2 binary64))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 t (*.f64 k k))))))
(/.f64 (neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (neg.f64 (.f64 t (.f64 k k))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t (.f64 k k))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 l (.f64 l (cos.f64 k)))) (.f64 t (.f64 k k)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.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) (.f64 l (.f64 l (cos.f64 k)))) (.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) (.f64 l (.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 k k))
(/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t) (*.f64 k k))
(/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 k k)) t)
(/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k)
(pow.f64 (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k)))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))))
(.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 #s(literal 2 binary64) (/.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 (.f64 k k))))))
(.f64 (.f64 l (.f64 l (cos.f64 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 (*.f64 k k)))))
(.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 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 (.f64 k k)))))
(.f64 (.f64 (.f64 l (.f64 l (cos.f64 k))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 t (.f64 k k))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 t (.f64 k k))))
(.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
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eval216.0ms (1.2%)

Memory: 9.6MiB live, 452.9MiB allocated
Compiler: Compiled 37 687 to 2 254 computations (94% saved)

prune424.0ms (2.3%)

Memory

-27.3MiB live, 551.6MiB allocated

Pruning

50 alts after pruning (50 fresh and 0 done)

	Pruned	Kept	Total
New	1 574	47	1 621
Fresh	16	3	19
Picked	5	0	5
Done	0	0	0
Total	1 595	50	1 645

Accuracy

95.0%

Counts

1 645 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (/.f64 (sin.f64 k) l) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))))
	41.4%	(/.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 (*.f64 t t)) k))))))
	33.8%	(/.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)))))
	47.4%	(/.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))))
	45.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l l))))))
	74.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (.f64 k k) (.f64 (*.f64 l l) (cos.f64 k))))))
	68.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) k) (.f64 l (.f64 l (cos.f64 k))))))
	65.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k k))) (.f64 l (.f64 l (cos.f64 k))))))
	74.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 #s(approx (* (pow (sin k) 2) (* t (* k k))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))) (.f64 l (*.f64 l (cos.f64 k))))))
	77.4%	(/.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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 l (cos.f64 k))) (/.f64 (*.f64 k k) l))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (sin.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 k k)) (.f64 l (.f64 l (cos.f64 k))))))))
	40.6%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 l (.f64 t t))) (.f64 (.f64 t (tan.f64 k)) (/.f64 (.f64 (sin.f64 k) (.f64 k k)) (.f64 t t)))) l)
	46.9%	#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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))))
	69.5%	#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) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k))
	62.7%	#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) (/.f64 (.f64 l l) t)) (.f64 k k)) (.f64 k k)))
▶	62.0%	#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) (/.f64 (.f64 l l) t)) 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) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 t (.f64 k k))))
	59.6%	#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) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.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 k)) t)))
	68.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k) k)))
	68.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
	65.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
	62.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* k k))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))))
	62.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) k) k)))
	62.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	61.8%	#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 l)) (.f64 (.f64 t k) (.f64 k (.f64 k k)))))
	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 (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
▶	63.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
	47.6%	#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
	77.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 k k) (.f64 l (cos.f64 k))) #s(literal -1 binary64))))
	72.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
	65.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 #s(literal 2 binary64) (.f64 t (.f64 k k)))))
	60.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k k))))) #s(literal 2 binary64)))
	63.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
	60.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.f64 k (.f64 k (*.f64 k k))))))
	75.2%	#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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (.f64 l (cos.f64 k)) (.f64 t (.f64 k k)))))
▶	77.5%	#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 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 k k))))
	72.7%	#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) l) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
	65.7%	#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) l) t) (/.f64 l (.f64 k (.f64 k (*.f64 k k))))))
	66.4%	#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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k k))))
	63.9%	#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 t (.f64 k k))) (/.f64 (.f64 l l) (*.f64 k k))))
	63.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
	75.2%	#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 (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t (*.f64 k k))))))
▶	67.2%	#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 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
	75.2%	#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 (cos.f64 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 (.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 #s(literal 2 binary64) l) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 t (.f64 k (.f64 k (*.f64 k k))))))))

Compiler

Compiled 2 422 to 1 410 computations (41.8% saved)

simplify258.0ms (1.4%)

Memory

10.8MiB live, 324.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 934×	`lower-fma.f64`
10 934×	`lower-fma.f32`
5 760×	`lower-*.f32`
5 726×	`lower-*.f64`
2 276×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	600
0	93	582
1	196	558
2	618	548
3	3027	548
4	4755	548
5	7151	548
0	8168	539

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

localize389.0ms (2.1%)

Memory

7.3MiB live, 474.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.344546020083032	(.f64 t (.f64 k k))
accuracy	8.482051396680786	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
accuracy	9.556379960234933	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 t (.f64 k k)))
accuracy	16.204117339682455	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
accuracy	0.240566259768442	(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy	7.344546020083032	(.f64 t (.f64 k k))
accuracy	15.28671799062039	(/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k))))
accuracy	19.166917182101034	#s(approx (* l (* l (cos k))) (*.f64 l l))
accuracy	4.322705875179812	(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) k)
accuracy	8.763118545772706	(/.f64 (*.f64 l l) t)
accuracy	9.3106203179646	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) k) (.f64 k (.f64 k k)))
accuracy	14.495806558141906	#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 (.f64 l l) t)) k) (.f64 k (.f64 k k))))
accuracy	3.5704212170688305	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))
accuracy	3.836007846126919	(.f64 t (.f64 k (.f64 k (.f64 k k))))
accuracy	4.578692821744591	(/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))
accuracy	14.495806558141906	#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	3.7289983929773554	(/.f64 (.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))))))
accuracy	3.9322231809940313	(.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
accuracy	5.7956616967487795	(/.f64 (.f64 l (cos.f64 k)) (.f64 k k))
accuracy	16.204117339682455	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))

Samples

109.0ms	50×	3	valid
65.0ms	71×	2	valid
57.0ms	87×	0	valid
48.0ms	47×	1	valid
1.0ms	1×	4	valid

Compiler

Compiled 486 to 51 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

ival-div: 42.0ms (18.2% of total)

ival-pow2: 36.0ms (15.6% of total)

adjust: 35.0ms (15.1% of total)

ival-mult: 34.0ms (14.7% of total)

ival-cos: 31.0ms (13.4% of total)

ival-add: 22.0ms (9.5% of total)

ival-sub: 15.0ms (6.5% of total)

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

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

ival-pow: 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)

series124.0ms (0.7%)

Memory

-3.1MiB live, 190.0MiB allocated

Counts

25 → 720

Calls

Call 1

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

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

Calls

180 calls:

Time	Variable		Point	Expression
16.0ms	k	@	0	(/ (* 2 (* l (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k)))))
9.0ms	l	@	0	(/ (* l (cos k)) (* k k))
5.0ms	l	@	0	(* (/ (* 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/ (* l (cos k)) (* k k)))
2.0ms	k	@	-inf	(* (/ (* 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/ (* l (cos k)) (* k k)))
2.0ms	k	@	inf	(/ (* 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k))))))

simplify333.0ms (1.8%)

Memory

-6.1MiB live, 509.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 922×	`lower-fma.f64`
10 922×	`lower-fma.f32`
7 350×	`lower-*.f64`
7 350×	`lower-*.f32`
4 982×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	286	10511
1	898	10411
2	3418	10094
0	8058	9840

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

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) (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))))))))
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(* 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))))))
(* (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 l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(/ (pow l 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) 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))))
(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)

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

rewrite436.0ms (2.4%)

Memory

9.8MiB live, 420.2MiB allocated

Rules

6 384×	`lower-/.f32`
6 366×	`lower-/.f64`
3 688×	`lower-*.f32`
3 654×	`lower-*.f64`
1 860×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	460
0	93	452
1	346	394
2	2483	382
0	8604	382

Stop Event

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

Counts

25 → 1 113

Calls

Call 1

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

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

eval248.0ms (1.4%)

Memory: 29.5MiB live, 396.2MiB allocated
Compiler: Compiled 46 063 to 2 444 computations (94.7% saved)

prune551.0ms (3%)

Memory

-4.7MiB live, 733.6MiB allocated

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	1 901	39	1 940
Fresh	28	17	45
Picked	4	1	5
Done	0	0	0
Total	1 933	57	1 990

Accuracy

98.0%

Counts

1 990 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
	59.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l l))))))
	74.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (.f64 k k) (.f64 (*.f64 l l) (cos.f64 k))))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (sin.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 k k)) (.f64 l (.f64 l (cos.f64 k))))))))
	63.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t k)) (.f64 k k)) k))
	62.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t) (.f64 k k)) (.f64 k k)))
	57.2%	#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) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t k)) k))
	61.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
▶	64.9%	#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 l t)) 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) (.f64 l (.f64 l (cos.f64 k)))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t (*.f64 k k))))
	59.6%	#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) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
	56.6%	#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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
	76.0%	#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 k k)) (.f64 l #s(literal -2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 t))))
	79.7%	#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)) k) (/.f64 (.f64 #s(literal 2 binary64) l) t)) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	75.9%	#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)) k) (.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))))))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.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 k)) t)))
	68.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
	62.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	61.8%	#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 l)) (.f64 (.f64 t k) (.f64 k (.f64 k k)))))
	56.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
	63.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t k) k))))
	63.8%	#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 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
	51.4%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
	33.4%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
	70.9%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
	63.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t k)) (.f64 k k)))))
	72.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
	82.8%	#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k) (/.f64 (.f64 l (cos.f64 k)) k)))
	60.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k k))))) #s(literal 2 binary64)))
	63.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
	60.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.f64 k (.f64 k (*.f64 k k))))))
	78.2%	#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 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (/.f64 (.f64 l (cos.f64 k)) (.f64 k k)) t)))
	75.2%	#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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (.f64 l (cos.f64 k)) (.f64 t (.f64 k k)))))
▶	88.7%	#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) l) (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
	80.3%	#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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 (/.f64 l k) (cos.f64 k)) k)))
	80.2%	#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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 #s(literal 1 binary64) (/.f64 k (*.f64 (/.f64 l k) (cos.f64 k))))))
▶	62.9%	#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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
▶	75.2%	#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 (*.f64 l (cos.f64 k)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	72.7%	#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) l) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
	74.9%	#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 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
	70.3%	#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 k)) (/.f64 l (.f64 k (*.f64 k k)))))
	73.8%	#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 (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
	65.7%	#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) l) t) (/.f64 l (.f64 k (.f64 k (*.f64 k k))))))
	74.0%	#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 t (.f64 k k))) (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 k) (sin.f64 k))))))
	74.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t k)) (/.f64 (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (sin.f64 k)))) k)))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.f64 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 (.f64 l (.f64 l (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
	66.1%	#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 t) (.f64 k (.f64 k (*.f64 k k))))))
	75.2%	#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 (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))))))
	70.4%	#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 (.f64 (.f64 t k) (.f64 k k)) k))))
	69.3%	#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 t (.f64 k (.f64 k k))) k))))
▶	69.3%	#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 t k) (.f64 k (.f64 k k))))))
✓	67.2%	#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 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
	60.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
	56.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))

Compiler

Compiled 2 683 to 1 579 computations (41.1% saved)

simplify477.0ms (2.6%)

Memory

-93.1MiB live, 580.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

13 928×	`lower-fma.f32`
13 926×	`lower-fma.f64`
6 432×	`lower-*.f32`
6 402×	`lower-*.f64`
2 554×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	581
0	95	560
1	203	538
2	631	528
3	2907	528
4	4682	528
5	6555	528
0	8853	528

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

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

localize352.0ms (1.9%)

Memory

16.8MiB live, 752.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	4.01125966144697	(/.f64 (*.f64 l (cos.f64 k)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	6.592229766588775	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (*.f64 k k)))
accuracy	7.344546020083033	(.f64 t (.f64 k k))
accuracy	16.204117339682455	(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	3.9322231809940313	(.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
accuracy	5.792310679140958	(/.f64 l (*.f64 k k))
accuracy	13.160229041589435	#s(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))
accuracy	16.204117339682455	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
accuracy	0.1484375	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t))
accuracy	4.322705875179812	(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) k)
accuracy	9.3106203179646	(/.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) k) (.f64 k (.f64 k k)))
accuracy	14.495806558141906	#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 l t)) k) (.f64 k (.f64 k k))))
accuracy	1.5205498370003638	(.f64 (.f64 t k) (.f64 k (.f64 k k)))
accuracy	3.5704212170688305	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 (.f64 t k) (.f64 k (.f64 k k)))))
accuracy	4.578692821744591	(/.f64 l (.f64 (.f64 t k) (.f64 k (.f64 k k))))
accuracy	14.495806558141906	#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 t k) (.f64 k (.f64 k k))))))
accuracy	2.451173001226814	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k)))
accuracy	3.7289983929773554	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
accuracy	3.9322231809940313	(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
accuracy	5.7956616967487795	(/.f64 (.f64 l (cos.f64 k)) (.f64 k k))

Samples

76.0ms	72×	2	valid
70.0ms	87×	0	valid
61.0ms	50×	3	valid
51.0ms	46×	1	valid
8.0ms	1×	4	valid

Compiler

Compiled 469 to 55 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 57.0ms (27.2% of total)

ival-div: 38.0ms (18.2% of total)

ival-cos: 31.0ms (14.8% of total)

ival-sin: 26.0ms (12.4% of total)

adjust: 20.0ms (9.6% of total)

ival-add: 13.0ms (6.2% of total)

ival-pow2: 10.0ms (4.8% of total)

ival-sub: 5.0ms (2.4% of total)

ival-tan: 5.0ms (2.4% of total)

ival-pow: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series68.0ms (0.4%)

Memory

24.3MiB live, 144.2MiB allocated

Counts

27 → 792

Calls

Call 1

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

Calls

198 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(* (/ (* 2 l) (* t (* k k))) (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)))
2.0ms	t	@	0	(* (/ (* 2 l) (* t (* k k))) (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)))
1.0ms	k	@	-inf	(* (/ (* 2 l) (* t (* k k))) (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)))
1.0ms	k	@	inf	(* (/ (* 2 l) (* t (* k k))) (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)))
1.0ms	l	@	0	(/ (* 2 l) (* t (* k k)))

simplify375.0ms (2.1%)

Memory

0.5MiB live, 389.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 300×	`lower-fma.f64`
11 300×	`lower-fma.f32`
6 552×	`lower-*.f64`
6 552×	`lower-*.f32`
5 446×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	11164
1	816	11062
2	2908	10754
0	8240	10484

Stop Event

1×	iter limit
1×	node limit

Counts

792 → 792

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)))
(/ (+ (* 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)))))
(* 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 (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* (pow k 2) t)))
(/ (+ (* 2/3 (/ (* (pow k 2) l) t)) (* 2 (/ l t))) (pow k 2))
(/ (+ (* 2 (/ l t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/9 (/ l t)) (* 2/45 (/ l t))))) (* 2/3 (/ l t))))) (pow k 2))
(/ (+ (* 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 2))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 (/ l (* t (pow (sin k) 2))))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 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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Outputs
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(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 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(* (pow k 2) t)
(.f64 (.f64 k k) t)
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ l (pow k 2))
(/.f64 l (*.f64 k k))
(/ (+ l (* (pow k 2) (- (* -1/2 l) (* -1/3 l)))) (pow k 2))
(/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) l) (*.f64 k k))
(/ (+ l (* (pow k 2) (- (+ (* -1/2 l) (* (pow k 2) (- (* 1/24 l) (+ (* -1/3 (- (* -1/2 l) (* -1/3 l))) (* 2/45 l))))) (* -1/3 l)))) (pow k 2))
(/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))
(/ (+ l (* (pow k 2) (- (+ (* -1/2 l) (* (pow k 2) (- (+ (* 1/24 l) (* (pow k 2) (- (* -1/720 l) (+ (* -1/3 (- (* 1/24 l) (+ (* -1/3 (- (* -1/2 l) (* -1/3 l))) (* 2/45 l)))) (+ (* -1/315 l) (* 2/45 (- (* -1/2 l) (* -1/3 l)))))))) (+ (* -1/3 (- (* -1/2 l) (* -1/3 l))) (* 2/45 l))))) (* -1/3 l)))) (pow k 2))
(/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (-.f64 (.f64 l #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/3 binary64) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -2/189 binary64)))) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64)))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (* 2 k)))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ (* l (cos k)) (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))
(/.f64 (.f64 l (cos.f64 k)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite414.0ms (2.3%)

Memory

-54.3MiB live, 386.8MiB allocated

Rules

4 828×	`lower-/.f32`
4 810×	`lower-/.f64`
4 052×	`lower-*.f32`
4 024×	`lower-*.f64`
2 420×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	477
0	95	448
1	367	403
2	2707	403
0	8272	403

Stop Event

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

Counts

27 → 1 292

Calls

Call 1

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

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

eval246.0ms (1.4%)

Memory: 27.8MiB live, 494.4MiB allocated
Compiler: Compiled 51 159 to 2 617 computations (94.9% saved)

prune607.0ms (3.3%)

Memory

-25.4MiB live, 898.3MiB allocated

Pruning

56 alts after pruning (54 fresh and 2 done)

	Pruned	Kept	Total
New	2 116	24	2 140
Fresh	21	30	51
Picked	4	1	5
Done	0	1	1
Total	2 141	56	2 197

Accuracy

98.0%

Counts

2 197 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
	74.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (sin.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 k k)) (.f64 l (.f64 l (cos.f64 k))))))))
	72.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
	62.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t) (.f64 k k)) (.f64 k k)))
	57.2%	#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) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t k)) k))
	59.6%	#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) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
	56.6%	#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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
	76.0%	#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 k k)) (.f64 l #s(literal -2 binary64))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 t))))
	79.7%	#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)) k) (/.f64 (.f64 #s(literal 2 binary64) l) t)) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	75.9%	#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)) k) (.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))))))
	67.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 l t) (/.f64 (.f64 #s(literal 2 binary64) l) k)) (.f64 k (.f64 k k))))
	49.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.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))))
	70.6%	#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) (/.f64 l (.f64 t (.f64 k k)))) (*.f64 k k)))
	81.6%	#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) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k))))) (.f64 t (.f64 k k))))
	86.2%	#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(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l))))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
	68.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
	62.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	61.8%	#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 l)) (.f64 (.f64 t k) (.f64 k (.f64 k k)))))
	56.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
	63.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t k) k))))
	63.8%	#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 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
	51.4%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
	33.4%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
	70.9%	#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
	74.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64))))
	82.8%	#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k) (/.f64 (.f64 l (cos.f64 k)) k)))
	61.2%	#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) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	60.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k k))))) #s(literal 2 binary64)))
	63.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
	62.9%	#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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	74.0%	#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 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	63.4%	#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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l k) k))))
	55.0%	#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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
	60.8%	#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) (.f64 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) l) (*.f64 k k)))))
	92.0%	#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 t k)) (/.f64 (.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) k)))
	70.3%	#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 k)) (/.f64 l (.f64 k (*.f64 k k)))))
	65.7%	#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) l) t) (/.f64 l (.f64 k (.f64 k (*.f64 k k))))))
	73.8%	#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) k) (/.f64 (/.f64 l (.f64 t k)) (.f64 k k))))
	74.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t k)) (/.f64 (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (sin.f64 k)))) k)))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.f64 k) (*.f64 k k))))
	83.3%	#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 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k)))))
	62.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	62.9%	#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 l (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
	75.2%	#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 (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))))))
	70.4%	#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 (.f64 (.f64 t (.f64 k k)) k) k))))
	69.3%	#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 (.f64 k k)) t) k))))
✓	69.3%	#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 t k) (.f64 k (.f64 k k))))))
✓	67.2%	#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 l (.f64 t (.f64 k (.f64 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
	60.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
	57.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	72.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))
	56.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))

Compiler

Compiled 4 259 to 1 264 computations (70.3% saved)

regimes295.0ms (1.6%)

Memory

17.8MiB live, 337.4MiB allocated

Counts

135 → 2

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

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 k)) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k k))))

Calls

6 calls:

69.0ms	(/.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))))
51.0ms	k
50.0ms	t
45.0ms	l
39.0ms	(.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
95.9%	2	`t`
93.8%	2	`l`
95.5%	2	`k`
92.0%	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))))`
92.0%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
93.8%	2	`(*.f64 l l)`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes130.0ms (0.7%)

Memory

1.7MiB live, 108.6MiB allocated

Counts

124 → 2

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

Outputs

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

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

Calls

2 calls:

57.0ms	t
50.0ms	k

Results

Accuracy	Segments	Branch
95.5%	2	`k`
94.2%	2	`t`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes88.0ms (0.5%)

Memory

17.3MiB live, 93.4MiB allocated

Counts

102 → 2

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

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 k)) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.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(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 k k)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) l))))

Calls

2 calls:

46.0ms	t
36.0ms	k

Results

Accuracy	Segments	Branch
94.2%	2	`t`
93.7%	2	`k`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes211.0ms (1.2%)

Memory

16.4MiB live, 244.9MiB allocated

Counts

94 → 3

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.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 (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.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 (*.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 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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 t (.f64 k k))) (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 k) (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 (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 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 (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.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 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) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k))))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.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 t (.f64 k k))) (/.f64 (*.f64 l (cos.f64 k)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#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)) k) (.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))))))
#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 l (.f64 l (cos.f64 k)))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 l (cos.f64 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 (.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 t k)) (/.f64 (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (sin.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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (.f64 l (.f64 l (cos.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 (pow.f64 (/.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (*.f64 t k))) #s(literal -1 binary64))))

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

Calls

6 calls:

45.0ms	l
43.0ms	(/.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))))
41.0ms	t
32.0ms	(*.f64 l l)
24.0ms	k

Results

Accuracy	Segments	Branch
86.2%	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))))`
86.2%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
93.3%	3	`k`
88.5%	2	`l`
88.5%	2	`(*.f64 l l)`
86.2%	1	`t`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes68.0ms (0.4%)

Memory

-13.1MiB live, 48.1MiB allocated

Counts

89 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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 #s(literal 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 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) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.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 (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.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 (*.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 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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 t (.f64 k k))) (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 k) (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 (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 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 (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.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 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) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k))))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.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 t (.f64 k k))) (/.f64 (*.f64 l (cos.f64 k)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))

Outputs

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

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

Calls

1 calls:

63.0ms

Results

Accuracy	Segments	Branch
89.3%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes96.0ms (0.5%)

Memory

-1.0MiB live, 114.7MiB allocated

Counts

87 → 2

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

Outputs

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

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

Calls

3 calls:

42.0ms	k
28.0ms	l
22.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
86.2%	1	`l`
86.2%	1	`(*.f64 l l)`
88.0%	2	`k`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes132.0ms (0.7%)

Memory

7.4MiB live, 127.4MiB allocated

Counts

86 → 1

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.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 (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.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 (*.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 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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 t (.f64 k k))) (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 k) (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 (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 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 (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.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 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) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k))))) (.f64 t (.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) #s(literal 1 binary64)) (*.f64 (*.f64 t (*.f64 k k)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) l))))

Calls

4 calls:

40.0ms	(*.f64 l l)
38.0ms	k
28.0ms	l
22.0ms	t

Results

Accuracy	Segments	Branch
86.2%	1	`t`
86.2%	1	`l`
86.2%	1	`(*.f64 l l)`
86.2%	1	`k`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes183.0ms (1%)

Memory

2.5MiB live, 121.7MiB allocated

Counts

84 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.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 (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.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 (*.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 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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 t (.f64 k k))) (.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 k) (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 (.f64 l (cos.f64 k)))) (.f64 (.f64 t k) (.f64 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 (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.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 k)) t)))

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) k) (/.f64 (/.f64 l (*.f64 t 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) (*.f64 t (*.f64 k k))) l) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))))

Calls

6 calls:

53.0ms	(*.f64 l l)
45.0ms	t
24.0ms	k
22.0ms	l
18.0ms	(/.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
83.3%	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))))`
83.3%	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)))`
83.3%	1	`t`
86.9%	2	`l`
87.2%	2	`k`
86.9%	2	`(*.f64 l l)`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes28.0ms (0.2%)

Memory

-15.7MiB live, 23.0MiB allocated

Counts

79 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) k) (.f64 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 #s(literal 2 binary64) (.f64 l l)) t) (.f64 k k)) (.f64 k k)))
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(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
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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 ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.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 (cos.f64 k))) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.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 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.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 (*.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) k) (/.f64 (/.f64 l (*.f64 t 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 (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))))))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
87.1%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes125.0ms (0.7%)

Memory

8.6MiB live, 165.8MiB allocated

Counts

75 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.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) (* t (pow (sin k) 2))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.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) #s(approx (* t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 (.f64 (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t) k) k))) (/.f64 (.f64 l (cos.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 t (exp.f64 (.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 t 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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(approx (/ ( l (cos k)) (* 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 (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #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 (*.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (*.f64 t k)) (*.f64 k k))))

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

Calls

6 calls:

28.0ms	l
22.0ms	t
19.0ms	k
18.0ms	(*.f64 l l)
17.0ms	(.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
78.5%	2	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
78.8%	2	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
76.8%	2	`t`
84.2%	2	`(*.f64 l l)`
84.2%	2	`l`
84.3%	2	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes160.0ms (0.9%)

Memory

-15.1MiB live, 105.1MiB allocated

Counts

73 → 2

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

Calls

5 calls:

50.0ms	(.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)))
48.0ms	k
22.0ms	(/.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))))
19.0ms	l
17.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
74.9%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
74.9%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
77.3%	2	`l`
77.3%	2	`(*.f64 l l)`
78.9%	3	`k`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes127.0ms (0.7%)

Memory

-4.2MiB live, 116.9MiB allocated

Counts

65 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* 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 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l 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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/6 binary64)) 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 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l k) k))))

Calls

4 calls:

49.0ms	t
37.0ms	k
21.0ms	l
15.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
74.9%	1	`t`
76.8%	2	`k`
74.9%	1	`l`
74.9%	1	`(*.f64 l l)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes21.0ms (0.1%)

Memory

27.3MiB live, 27.3MiB allocated

Counts

64 → 2

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
76.5%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes96.0ms (0.5%)

Memory

-26.8MiB live, 136.3MiB allocated

Counts

63 → 1

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.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 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (.f64 k 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 1 binary64) (.f64 t (.f64 k k))) (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* 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(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k))) (/.f64 #s(literal 2 binary64) t)) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) t) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 l (*.f64 k k)))))

Outputs

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

Calls

3 calls:

56.0ms	k
18.0ms	l
18.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
74.9%	1	`l`
74.9%	1	`(*.f64 l l)`
74.9%	1	`k`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes199.0ms (1.1%)

Memory

19.6MiB live, 173.8MiB allocated

Counts

57 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k (.f64 k (.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 #s(literal 2 binary64) l)) (/.f64 (*.f64 k k) l)) #s(literal -1 binary64)))
#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 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) #s(approx (/ ( l (cos k)) (* 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 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.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) k) (/.f64 (/.f64 l (*.f64 t 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 (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))

Calls

6 calls:

119.0ms	(/.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))))
17.0ms	k
17.0ms	t
15.0ms	(*.f64 l l)
15.0ms	l

Results

Accuracy	Segments	Branch
73.8%	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))))`
73.8%	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)))`
73.8%	1	`t`
76.4%	2	`k`
76.4%	2	`l`
76.4%	2	`(*.f64 l l)`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes47.0ms (0.3%)

Memory

9.0MiB live, 84.1MiB allocated

Counts

51 → 2

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 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) t) (/.f64 l (.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 #s(literal 2 binary64) l) (.f64 t k)) (/.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 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 (.f64 l l) t) (/.f64 #s(literal 2 binary64) (.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 l l) (.f64 t (.f64 k k))) (/.f64 #s(literal 2 binary64) (*.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 #s(literal 2 binary64) (.f64 l (/.f64 l (.f64 k k))))) (.f64 t (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.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 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t 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 t) (/.f64 (.f64 #s(literal 2 binary64) l) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) t)) 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 #s(literal 2 binary64) (/.f64 (.f64 l l) 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 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l t)) 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 #s(literal 2 binary64) (.f64 l l)) 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 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(approx (* (/ t (* l l)) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 l (*.f64 l t))))))
#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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (/.f64 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 (* (* (* (/ (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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l l) (.f64 (/.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))) (/.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 (* (* (* (/ (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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 (/ ( 2 l) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) #s(approx (/ ( l (cos k)) (* 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(literal 1 binary64) (/.f64 k (/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (fma.f64 l #s(literal -1/72 binary64) (.f64 l #s(literal -2/45 binary64))) (.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ 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 (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t (*.f64 l 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)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 k (.f64 k (fma.f64 (.f64 l l) #s(literal -1/360 binary64) (.f64 (.f64 l l) #s(literal -1/18 binary64)))) (.f64 (.f64 l l) #s(literal -1/6 binary64))) (.f64 k k) (.f64 l l))) (.f64 k k))) (.f64 t (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (/ (* t t) l) (* (/ t l) (* (tan k) (* (sin k) (/ (* k k) (* t t)))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (.f64 l l)) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx ( l (* l (cos k))) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #s(approx ( (pow (sin k) 2) (* t (* 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 (*.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (*.f64 t 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 t (*.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/6 binary64)) l) (*.f64 k k)))))

Calls

3 calls:

17.0ms	k
15.0ms	l
12.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
76.2%	2	`l`
76.1%	2	`(*.f64 l l)`
76.1%	2	`k`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.1%)

Memory

-13.9MiB live, 24.8MiB allocated

Counts

39 → 2

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
76.2%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Memory

-8.1MiB live, 39.0MiB allocated

Counts

34 → 2

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

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

Calls

3 calls:

29.0ms	k
10.0ms	l
9.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
73.8%	1	`(*.f64 l l)`
73.8%	1	`k`
75.7%	2	`l`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes60.0ms (0.3%)

Memory

-9.1MiB live, 30.1MiB allocated

Counts

32 → 1

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
73.8%	1	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes47.0ms (0.3%)

Memory

7.3MiB live, 83.5MiB allocated

Counts

25 → 1

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

Outputs

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

Calls

6 calls:

11.0ms	k
8.0ms	(/.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))))
7.0ms	l
7.0ms	t
6.0ms	(*.f64 l l)

Results

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes29.0ms (0.2%)

Memory

15.3MiB live, 56.4MiB allocated

Counts

13 → 1

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t 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) l) (/.f64 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 (.f64 l l) (.f64 t (.f64 k (.f64 k (.f64 k 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) (.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 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 (.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 (.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 l (/.f64 #s(literal 1 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 #s(literal 2 binary64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 t (.f64 (.f64 k k) (*.f64 k k)))) l)))

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 t (.f64 k k)) k) k))))

Calls

6 calls:

7.0ms	(*.f64 l l)
5.0ms	l
4.0ms	t
4.0ms	k
4.0ms	(.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
70.4%	1	`t`
70.4%	1	`k`
70.4%	1	`(*.f64 l l)`
70.4%	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))))`
70.4%	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)))`
70.4%	1	`l`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes16.0ms (0.1%)

Memory

-3.2MiB live, 35.2MiB allocated

Counts

5 → 1

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) 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 t 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 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) l) (/.f64 l (.f64 (.f64 (.f64 k (.f64 k k)) 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 (.f64 (.f64 t k) (.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(literal 2 binary64) l) (/.f64 l (.f64 (.f64 (.f64 t k) (.f64 k k)) k))))

Calls

6 calls:

4.0ms	k
2.0ms	l
2.0ms	t
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)))
2.0ms	(/.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
70.4%	1	`t`
70.4%	1	`l`
70.4%	1	`k`
70.4%	1	`(*.f64 l l)`
70.4%	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))))`
70.4%	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)))`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes14.0ms (0.1%)

Memory

-6.6MiB live, 31.9MiB allocated

Counts

4 → 1

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

Calls

6 calls:

3.0ms	(*.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
69.3%	1	`t`
69.3%	1	`(*.f64 l l)`
69.3%	1	`l`
69.3%	1	`k`
69.3%	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))))`
69.3%	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)))`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes8.0ms (0%)

Memory

21.5MiB live, 21.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

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) 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:

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))))
1.0ms	t
1.0ms	k
1.0ms	l

Results

Accuracy	Segments	Branch
67.2%	1	`t`
67.2%	1	`l`
67.2%	1	`(*.f64 l l)`
67.2%	1	`k`
67.2%	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))))`
67.2%	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)))`

Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch25.0ms (0.1%)

Memory

5.6MiB live, 43.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.4760199202275964e+61	1.0296095783873691e+62

Samples

7.0ms	23×	2	valid
6.0ms	34×	0	valid
4.0ms	14×	3	valid
2.0ms	9×	1	valid

Compiler

Compiled 271 to 180 computations (33.6% saved)

Precisions

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

adjust: 3.0ms (18.9% of total)

ival-div: 2.0ms (12.6% of total)

ival-sub: 2.0ms (12.6% of total)

ival-tan: 2.0ms (12.6% of total)

ival-mult: 2.0ms (12.6% of total)

ival-sin: 2.0ms (12.6% of total)

ival-pow2: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

ival-pow: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch44.0ms (0.2%)

Memory

-18.1MiB live, 59.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	7.342614558096045e-10	0.0038585274691256034

Samples

14.0ms	42×	2	valid
14.0ms	77×	0	valid
3.0ms	18×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 490 to 322 computations (34.3% saved)

Precisions

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

ival-div: 7.0ms (24.6% of total)

ival-pow: 6.0ms (21.1% of total)

ival-mult: 4.0ms (14.1% of total)

adjust: 3.0ms (10.6% of total)

ival-pow2: 2.0ms (7% of total)

ival-sin: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

ival-tan: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch68.0ms (0.4%)

Memory

-0.6MiB live, 71.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
60.0ms	1.8509860935143736e+186	3.501307936118312e+188

Samples

29.0ms	12×	1	valid
14.0ms	48×	3	valid
9.0ms	33×	2	valid
3.0ms	19×	0	valid

Compiler

Compiled 367 to 249 computations (32.2% saved)

Precisions

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

adjust: 6.0ms (24.9% of total)

ival-div: 4.0ms (16.6% of total)

ival-pow2: 3.0ms (12.5% of total)

ival-mult: 3.0ms (12.5% of total)

ival-tan: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

ival-sin: 2.0ms (8.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory

3.8MiB live, 48.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.4973601231052715e+146	3.198649975007126e+147
1.0ms	7.342614558096045e-10	0.0038585274691256034

Samples

11.0ms	66×	0	valid
10.0ms	16×	1	valid
4.0ms	14×	2	valid

Compiler

Compiled 814 to 538 computations (33.9% saved)

Precisions

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

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

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

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

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

adjust: 1.0ms (6.2% of total)

ival-pow2: 1.0ms (6.2% of total)

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

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

ival-add: 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)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.342614558096045e-10	0.0038585274691256034

Compiler

Compiled 490 to 322 computations (34.3% saved)

bsearch33.0ms (0.2%)

Memory

-7.1MiB live, 67.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	6.080176534562445e-59	4.737315171420037e-57

Samples

8.0ms	51×	0	valid
8.0ms	30×	2	valid
6.0ms	20×	3	valid
2.0ms	11×	1	valid

Compiler

Compiled 367 to 242 computations (34.1% saved)

Precisions

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

ival-div: 3.0ms (17.8% of total)

adjust: 3.0ms (17.8% of total)

ival-mult: 3.0ms (17.8% of total)

ival-pow2: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

ival-tan: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

ival-pow: 1.0ms (5.9% of total)

ival-sin: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Memory

8.5MiB live, 44.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
50.0ms	2.3453027481049927e-26	2.215142909170063e-25

Samples

32.0ms	12×	1	valid
7.0ms	27×	2	valid
5.0ms	50×	0	valid
2.0ms	7×	3	valid

Compiler

Compiled 295 to 193 computations (34.6% saved)

Precisions

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

ival-div: 3.0ms (22.9% of total)

adjust: 3.0ms (22.9% of total)

ival-pow2: 2.0ms (15.2% of total)

ival-mult: 2.0ms (15.2% of total)

ival-sub: 1.0ms (7.6% of total)

ival-tan: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

ival-pow: 1.0ms (7.6% of total)

ival-sin: 1.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.342614558096045e-10	0.0038585274691256034

Compiler

Compiled 454 to 295 computations (35% saved)

bsearch49.0ms (0.3%)

Memory

-16.7MiB live, 39.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	7.342614558096045e-10	0.0038585274691256034

Samples

26.0ms	32×	2	valid
9.0ms	75×	0	valid
3.0ms	14×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 409 to 259 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 21.0ms (58.8% of total)

adjust: 3.0ms (8.4% of total)

ival-mult: 3.0ms (8.4% of total)

ival-pow2: 2.0ms (5.6% of total)

ival-sub: 1.0ms (2.8% of total)

ival-tan: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

ival-pow: 1.0ms (2.8% of total)

ival-sin: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.165054733826032e+255	7.961406191694591e+255

Compiler

Compiled 31 to 25 computations (19.4% saved)

bsearch33.0ms (0.2%)

Memory

-4.7MiB live, 32.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.1969539531500437e+83	2.1405522202478585e+84

Samples

11.0ms	69×	0	valid
4.0ms	17×	1	valid
3.0ms	10×	2	valid

Compiler

Compiled 355 to 205 computations (42.3% saved)

Precisions

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

ival-tan: 3.0ms (19.2% of total)

ival-sin: 3.0ms (19.2% of total)

ival-div: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

adjust: 1.0ms (6.4% of total)

ival-pow2: 1.0ms (6.4% of total)

ival-sub: 1.0ms (6.4% of total)

ival-pow: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch39.0ms (0.2%)

Memory

2.4MiB live, 77.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	3.892642320649921e+115	1.7575427019261064e+118

Samples

14.0ms	82×	0	valid
8.0ms	21×	2	valid
6.0ms	25×	1	valid

Compiler

Compiled 455 to 265 computations (41.8% saved)

Precisions

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

ival-div: 5.0ms (20.8% of total)

ival-tan: 4.0ms (16.6% of total)

ival-sin: 4.0ms (16.6% of total)

ival-mult: 3.0ms (12.5% of total)

adjust: 2.0ms (8.3% of total)

ival-pow2: 2.0ms (8.3% of total)

ival-pow: 2.0ms (8.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.2%)

Memory

24.6MiB live, 72.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	0.0038585274691256034	31543.45191999891

Samples

13.0ms	43×	2	valid
13.0ms	77×	0	valid
4.0ms	11×	3	valid
3.0ms	13×	1	valid

Compiler

Compiled 427 to 250 computations (41.5% saved)

Precisions

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

ival-sin: 5.0ms (18.1% of total)

ival-div: 4.0ms (14.5% of total)

ival-tan: 4.0ms (14.5% of total)

ival-mult: 4.0ms (14.5% of total)

adjust: 3.0ms (10.9% of total)

ival-pow2: 2.0ms (7.2% of total)

ival-pow: 2.0ms (7.2% 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)

bsearch40.0ms (0.2%)

Memory

8.1MiB live, 44.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.9962659839221386e+206	4.243425214978822e+208

Samples

16.0ms	23×	2	valid
8.0ms	53×	0	valid
5.0ms	22×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 367 to 207 computations (43.6% saved)

Precisions

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

ival-mult: 12.0ms (42.3% of total)

adjust: 3.0ms (10.6% of total)

ival-div: 3.0ms (10.6% of total)

ival-sin: 3.0ms (10.6% of total)

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

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

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

ival-pow: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Memory

-20.5MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.9962659839221386e+206	4.243425214978822e+208

Samples

11.0ms	6×	2	valid
3.0ms	19×	0	valid
1.0ms	5×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 353 to 200 computations (43.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.4% of total)

ival-div: 1.0ms (6.8% of total)

adjust: 1.0ms (6.8% of total)

ival-sin: 1.0ms (6.8% of total)

ival-pow2: 0.0ms (0% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch41.0ms (0.2%)

Memory

-2.5MiB live, 81.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	3.302791551959064e+224	1.260817805749499e+227

Samples

12.0ms	56×	0	valid
8.0ms	30×	2	valid
7.0ms	22×	3	valid
6.0ms	20×	1	valid

Compiler

Compiled 423 to 241 computations (43% saved)

Precisions

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

ival-sin: 5.0ms (19.3% of total)

adjust: 4.0ms (15.5% of total)

ival-div: 4.0ms (15.5% of total)

ival-mult: 3.0ms (11.6% of total)

ival-pow2: 2.0ms (7.7% of total)

ival-tan: 2.0ms (7.7% of total)

ival-pow: 2.0ms (7.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

simplify26.0ms (0.1%)

Memory

2.8MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Rules

114×	`*-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	234	2021
1	297	2021
2	307	2021
3	313	2021
4	317	2021
5	318	2021

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 56000000000000002874670347459984580783107998414731509623685120 binary64)) #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 k)) (/.f64 (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k)))))
(if (<=.f64 k #s(literal 6640827866535439/73786976294838206464 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) k) (/.f64 (.f64 l (cos.f64 k)) k))))
(if (<=.f64 t #s(literal 16500000000000000690199008335895548132970481984612025588518501916069696022289871982406601031486021521223410686285072711240975919386916087052660783208224900523681212496235948100281415237632 binary64)) #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 k)) (/.f64 (.f64 l (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.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(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l)))))
(if (<=.f64 k #s(literal 6640827866535439/73786976294838206464 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64)))) (if (<=.f64 k #s(literal 2999999999999999933989147216972980523094471668403403242316759734907791817687322477280778148269781541909304805246611232406515296920193439186091507712 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.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 (cos.f64 k)) k) (.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))))))))
(if (<=.f64 k #s(literal 6640827866535439/73786976294838206464 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) l) (/.f64 (cos.f64 k) (*.f64 k k)))))
(if (<=.f64 k #s(literal 4593802368423799/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (/.f64 l (.f64 t k))) #s(literal -1 binary64)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) l))))
(if (<=.f64 k #s(literal 2395587863123407/10889035741470030830827987437816582766592 binary64)) #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 (.f64 t 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) (.f64 t (.f64 k k))) l) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 k) (tan.f64 k))))))
(if (<=.f64 k #s(literal 6640827866535439/73786976294838206464 binary64)) #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 (.f64 t 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 (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)))))))
(if (<=.f64 k #s(literal 1369486280032197/1180591620717411303424 binary64)) #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 (.f64 t k)) (.f64 k k)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 t (.f64 k k)) (.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))))
(if (<=.f64 (.f64 l l) #s(literal 5000000000000000150638299500702712514452432698873475644160539899516370666888231164105561781345728817841219215085863914089834670683431886723442497509977859993139332280872106900130198528281147780112107965134755189144070676201426559958214706232088198673072128 binary64)) #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 (.f64 t k)) (.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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 (/.f64 l t) (fma.f64 #s(literal 2/3 binary64) (.f64 k k) #s(literal 2 binary64))) (.f64 k k))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k)))))
(if (<=.f64 k #s(literal 1850000000000000009812420309772105638707689871857048228537657525838156885958313639936 binary64)) #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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) 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 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(approx (/ (* l (cos k)) (* k k)) (/.f64 (/.f64 l k) k)))))
(if (<=.f64 k #s(literal 740000000000000029011973734069559232938486850662556383518985676664516489468084071695713182132142497068498064026632192 binary64)) #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))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) l) (.f64 k k))))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 t 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 #s(approx (- 1/2 ( 1/2 (cos (+ k k)))) (.f64 k k)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k k))))
(if (<=.f64 k #s(literal 29000 binary64)) #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 (.f64 t 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 (.f64 l (cos.f64 k)))) (.f64 #s(approx (pow (sin k) 2) (.f64 k k)) (.f64 t (*.f64 k k))))))
(if (<=.f64 l #s(literal 1699999999999999923542812536156659750685920559884330323769749642613254172319777060620010440062752595274774471635144382870431726219135210089096289699779134540629721725145294657382796174971871395638659583574016 binary64)) #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 (.f64 t 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 t (.f64 k k))) #s(approx (/ (* l (cos k)) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 k k) (.f64 l #s(literal -1/6 binary64)) l) (*.f64 k k))))))
(if (<=.f64 l #s(literal 1899999999999999931321528046374337436947395058474734350438354406628636760898546854146170371278507998049427392259026809453138067441954085212404326434221672421338590897670528544471929086587183288077304064901120 binary64)) #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 (.f64 t k)) (.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 (* l (cos k)))) (- 1/2 (* 1/2 (cos (+ k k))))) (/.f64 (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 t (.f64 k k)))))
(if (<=.f64 l #s(literal 51000000000000004734506988973183153941407771074975893260210207944730948321804485759215117016635013896900994673009614585851085330304049000194469268802560336149321221387543000490162582899042417320639353622888759127630621039394816 binary64)) #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 (.f64 t 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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 #s(approx (pow (sin k) 2) (.f64 (.f64 k k) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)))) (.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (/.f64 l (.f64 t k)) (.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) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (.f64 l (/.f64 #s(literal 2 binary64) (.f64 (.f64 k k) t)))) #s(approx (/ ( l (cos k)) (* 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 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 l (.f64 (.f64 (.f64 t 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) l) (/.f64 l (.f64 (.f64 t 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 t (.f64 k (.f64 k (.f64 k k)))))))

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

soundness2.0s (10.8%)

Memory

24.4MiB live, 2 059.8MiB allocated

Rules

11 610×	`lower-fma.f64`
11 610×	`lower-fma.f32`
11 584×	`lower-fma.f64`
11 584×	`lower-fma.f32`
11 300×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	10511
1	898	10411
2	3418	10094
0	8058	9840
0	61	460
0	93	452
1	346	394
2	2483	382
0	8604	382
0	53	434
0	84	412
1	312	382
2	2244	376
0	8534	376
0	286	10567
1	971	10483
2	3777	10192
0	8543	10084
0	261	11164
1	816	11062
2	2908	10754
0	8240	10484
0	63	477
0	95	448
1	367	403
2	2707	403
0	8272	403
0	110	2370
1	358	2366
2	1528	2296
3	4903	2296
0	8537	2278

Stop Event

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

Compiler

Compiled 3 573 to 1 785 computations (50% saved)

preprocess280.0ms (1.5%)

Memory

1.0MiB live, 594.9MiB allocated

Remove

(abs l)

(abs k)

Compiler

Compiled 4 058 to 1 614 computations (60.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze967.0ms (5.3%)

sample2.8s (15.7%)

explain360.0ms (2%)

preprocess331.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify291.0ms (1.6%)

localize103.0ms (0.6%)

series46.0ms (0.3%)

simplify290.0ms (1.6%)

rewrite289.0ms (1.6%)

eval252.0ms (1.4%)

prune262.0ms (1.4%)

simplify276.0ms (1.5%)

localize435.0ms (2.4%)

series121.0ms (0.7%)

simplify390.0ms (2.1%)

rewrite362.0ms (2%)

eval216.0ms (1.2%)

prune424.0ms (2.3%)

simplify258.0ms (1.4%)

localize389.0ms (2.1%)

series124.0ms (0.7%)

simplify333.0ms (1.8%)

rewrite436.0ms (2.4%)

eval248.0ms (1.4%)

prune551.0ms (3%)

simplify477.0ms (2.6%)

localize352.0ms (1.9%)

series68.0ms (0.4%)

simplify375.0ms (2.1%)

rewrite414.0ms (2.3%)

eval246.0ms (1.4%)

prune607.0ms (3.3%)

regimes295.0ms (1.6%)

regimes130.0ms (0.7%)

regimes88.0ms (0.5%)

regimes211.0ms (1.2%)

regimes68.0ms (0.4%)

regimes96.0ms (0.5%)

regimes132.0ms (0.7%)

regimes183.0ms (1%)

regimes28.0ms (0.2%)

regimes125.0ms (0.7%)

regimes160.0ms (0.9%)

regimes127.0ms (0.7%)

regimes21.0ms (0.1%)

regimes96.0ms (0.5%)

regimes199.0ms (1.1%)

regimes47.0ms (0.3%)

regimes14.0ms (0.1%)

regimes49.0ms (0.3%)

regimes60.0ms (0.3%)

regimes47.0ms (0.3%)

regimes29.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes8.0ms (0%)

bsearch25.0ms (0.1%)

bsearch44.0ms (0.2%)

bsearch68.0ms (0.4%)

bsearch33.0ms (0.2%)

bsearch2.0ms (0%)

bsearch33.0ms (0.2%)

bsearch53.0ms (0.3%)

bsearch2.0ms (0%)

bsearch49.0ms (0.3%)

bsearch1.0ms (0%)

bsearch33.0ms (0.2%)

bsearch39.0ms (0.2%)

bsearch45.0ms (0.2%)

bsearch40.0ms (0.2%)

bsearch19.0ms (0.1%)

bsearch41.0ms (0.2%)

simplify26.0ms (0.1%)

soundness2.0s (10.8%)

preprocess280.0ms (1.5%)

end0.0ms (0%)

Profiling