Metrics for VandenBroeck and Keller, Equation (6)

analyze203.0ms (1.2%)

Memory

-18.2MiB live, 256.4MiB 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
21.9%	21.9%	78%	0.1%	0%	0%	0%	7
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	8
35.2%	35.1%	64.8%	0.1%	0%	0%	0%	9
36.3%	36.3%	63.6%	0.1%	0%	0%	0%	10
42.4%	42.3%	57.6%	0.1%	0%	0%	0%	11
43.1%	43%	56.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample4.7s (27.2%)

Memory

121.3MiB live, 4 577.1MiB allocated

Samples

3.9s	3 766×	1	valid
310.0ms	4 426×	0	valid
141.0ms	64×	2	valid
3.0ms	8×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-tan: 3.5s (84.4% of total)

ival-mult: 233.0ms (5.7% of total)

ival-sub: 190.0ms (4.6% of total)

ival-div: 85.0ms (2.1% of total)

adjust: 58.0ms (1.4% of total)

ival-pi: 57.0ms (1.4% of total)

ival-true: 6.0ms (0.1% of total)

exact: 6.0ms (0.1% of total)

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

Bogosity

preprocess88.0ms (0.5%)

Memory

6.5MiB live, 83.8MiB allocated

Algorithm

1×	egg-herbie

Rules

602×	`times-frac`
336×	`lower-fma.f64`
336×	`lower-fma.f32`
256×	`lower-*.f32`
250×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	74
1	78	62
2	237	60
3	641	60
4	1124	60
5	1517	60
6	1755	60
7	1808	60
8	1818	60
0	10	14
0	17	14
1	30	12
2	64	12
3	141	12
4	219	12
5	331	12
6	401	12
7	483	12
8	592	12
9	662	12
10	730	12
11	766	12
0	766	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Symmetry

(abs F)

(negabs l)

explain508.0ms (3%)

Memory

7.2MiB live, 623.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
141	0	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
36	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
3	1	(1.2402057097685025e+161 1.7944477345062833e-178)	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	0	-	-	`(*.f64 (PI.f64) l)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	0	-	-	`(*.f64 F F)`
0	0	-	-	`l`
0	0	-	-	`F`
0	0	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (*.f64 (PI.f64) l))`	sensitivity	141	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	55	0
-	97	104

Precision

0.3618421052631579

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	55	0	0
-	97	0	104

Precision?

0.3618421052631579

Recall?

1.0

Freqs

test

number	freq
0	104
1	152

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

172.0ms	82×	2	valid
147.0ms	178×	1	valid
67.0ms	14×	3	valid
19.0ms	238×	0	valid

Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-tan: 324.0ms (89.9% of total)

ival-mult: 16.0ms (4.4% of total)

ival-div: 6.0ms (1.7% of total)

adjust: 6.0ms (1.7% of total)

ival-pi: 4.0ms (1.1% of total)

ival-sub: 4.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify31.0ms (0.2%)

Memory

25.3MiB live, 63.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
256×	`lower-*.f32`
250×	`lower-*.f64`
136×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))

localize249.0ms (1.5%)

Memory

-32.4MiB live, 337.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	86.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	47.7%	(tan.f64 (*.f64 (PI.f64) l))

Samples

97.0ms	41×	2	valid
90.0ms	89×	1	valid
23.0ms	7×	3	valid
12.0ms	119×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 198.0ms

ival-tan: 173.0ms (87.5% of total)

ival-div: 9.0ms (4.6% of total)

ival-mult: 8.0ms (4% of total)

adjust: 3.0ms (1.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())

Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (patch (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (patch (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) (taylor 0 l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) (taylor 0 l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) (taylor 0 l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (.f64 F F)) #<representation binary64>) () ())) ())

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms	l	@	inf	(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms	l	@	0	(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms	l	@	-inf	(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms	l	@	0	(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

simplify764.0ms (4.5%)

Memory

-15.7MiB live, 902.3MiB allocated

Algorithm

1×	egg-herbie

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
6 854×	`lower-*.f64`
6 854×	`lower-*.f32`
2 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))

Outputs
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 #s(literal -1/72 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

rewrite248.0ms (1.4%)

Memory

11.4MiB live, 508.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 686×	`lower-fma.f64`
4 686×	`lower-fma.f32`
3 978×	`lower-*.f32`
3 972×	`lower-*.f64`
2 176×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31

Stop Event

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

Counts

6 → 308

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

Outputs
(neg.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (.f64 (neg.f64 F) (cos.f64 (.f64 (PI.f64) l)))) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) F))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 F (.f64 (neg.f64 F) (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F F) (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (neg.f64 (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) l))) (neg.f64 (*.f64 F F))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (.f64 (neg.f64 F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (.f64 F (.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (.f64 (.f64 F F) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (neg.f64 F))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) l))) F))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (.f64 (neg.f64 (.f64 F F)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (.f64 F (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (.f64 (neg.f64 F) (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (.f64 F (.f64 (neg.f64 F) (cos.f64 (.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F)) (neg.f64 (.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (.f64 F F))
(pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) (.f64 F F)))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F (.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(+.f64 (.f64 (PI.f64) l) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l)))))))
(+.f64 (/.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l))))))
(-.f64 (/.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
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(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (.f64 (PI.f64) l)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))
(.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)))
(.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(exp.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (log.f64 F))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (neg.f64 F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (.f64 F (.f64 F (*.f64 F F))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))

eval116.0ms (0.7%)

Memory: -32.8MiB live, 122.8MiB allocated
Compiler: Compiled 12 853 to 1 237 computations (90.4% saved)

prune182.0ms (1.1%)

Memory

12.2MiB live, 130.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	465	11	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	11	477

Accuracy

99.7%

Counts

477 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.6%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	80.0%	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
▶	80.2%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
▶	80.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	79.2%	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	83.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	79.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	67.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
▶	67.7%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
	67.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	76.8%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 360 to 222 computations (38.3% saved)

simplify84.0ms (0.5%)

Memory

1.3MiB live, 89.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	cost-diff	0	(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
✓	cost-diff	0	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 l (PI.f64))
✓	cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	cost-diff	384	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

Rules

752×	`lower-fma.f32`
750×	`lower-fma.f64`
624×	`lower-*.f32`
618×	`lower-*.f64`
434×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	224
0	45	220
1	82	214
2	151	214
3	281	214
4	412	214
5	601	214
6	842	214
7	1400	214
8	1742	214
9	1823	214
10	1823	214
0	1823	214

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 l (PI.f64))
(*.f64 F F)
F
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 F F)
F

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 F F)
F

localize265.0ms (1.5%)

Memory

-10.2MiB live, 460.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	87.6%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	47.7%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	87.6%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	47.7%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	89.3%	(/.f64 (.f64 l (PI.f64)) (.f64 F F))
✓	accuracy	52.4%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	77.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
✓	accuracy	99.9%	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	accuracy	99.9%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	47.7%	(tan.f64 (*.f64 (PI.f64) l))

Samples

86.0ms	88×	1	valid
82.0ms	42×	2	valid
29.0ms	7×	3	valid
20.0ms	119×	0	valid

Compiler

Compiled 207 to 23 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-tan: 139.0ms (72.9% of total)

ival-div: 21.0ms (11% of total)

ival-mult: 10.0ms (5.2% of total)

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

adjust: 6.0ms (3.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory

3.5MiB live, 40.4MiB allocated

Counts

17 → 348

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (PI.f64))) (patch #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 l (PI.f64)) (patch (.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) (patch (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (patch (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) (patch (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F) #<representation binary64>) () ())) ())
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf F) (#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #<representation binary64>) () ())) ())
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#s(alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3)))))) (taylor 0 l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) F) (taylor 0 l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) (taylor 0 l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) (taylor 0 l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) (taylor 0 l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf l) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor -inf F) (#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())) ())

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
1.0ms	F	@	0	(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
1.0ms	l	@	inf	(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
1.0ms	l	@	0	(/ (tan (* (PI) l)) F)
1.0ms	F	@	inf	(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))

simplify509.0ms (3%)

Memory

25.5MiB live, 658.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 266×	`lower-fma.f64`
9 266×	`lower-fma.f32`
8 038×	`lower-*.f64`
8 038×	`lower-*.f32`
4 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	7995
1	1112	7524
2	4151	7161
0	8998	6981

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
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(/ 1 (* l (PI)))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
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(/ 1 (* l (PI)))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(/ 1 (* l (PI)))
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(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
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(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))

Outputs
(/ (* l (PI)) (pow F 2))
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(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) F)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) F) (fma.f64 #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) F) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) F) (/.f64 (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) F)))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) F)) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)))) (/.f64 (PI.f64) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))

rewrite484.0ms (2.8%)

Memory

5.2MiB live, 685.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 196×	`lower-fma.f32`
6 194×	`lower-fma.f64`
4 774×	`lower-/.f32`
4 762×	`lower-/.f64`
4 490×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	45	163
1	200	163
2	1264	163
0	8243	163

Stop Event

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

Counts

17 → 1 102

Calls

Call 1

Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (.f64 l (PI.f64)) (.f64 F F))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 F (neg.f64 F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))) (.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) l)) F) (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (neg.f64 F)) (.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))) (.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 F (neg.f64 F)) (cos.f64 (.f64 (PI.f64) l))) (.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 F (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F (neg.f64 F)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 F F)))))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))) #s(literal -1 binary64))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F (neg.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (neg.f64 (neg.f64 F))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (.f64 (cos.f64 (.f64 (PI.f64) l)) F))
(/.f64 (.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 F (neg.f64 F)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal -1 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 (.f64 F (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) #s(literal 1 binary64)) F)
(/.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 F (neg.f64 F)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (.f64 (PI.f64) l)))
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(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F (neg.f64 F)))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(/.f64 (neg.f64 (.f64 l (neg.f64 (PI.f64)))) (neg.f64 (.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F)) (neg.f64 F))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64))) (*.f64 F (neg.f64 F)))
(/.f64 (neg.f64 (neg.f64 (.f64 l (neg.f64 (PI.f64))))) (neg.f64 (neg.f64 (.f64 F (neg.f64 F)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64))) (neg.f64 (*.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (*.f64 (/.f64 l F) (PI.f64))) (neg.f64 F))
(pow.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal -1 binary64))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) l) (*.f64 F F)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 F F) (*.f64 (PI.f64) l)))))
(.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 (/.f64 l F) (/.f64 (PI.f64) (.f64 F #s(literal 1 binary64))))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 (/.f64 (PI.f64) F) (/.f64 l (.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) (*.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 (/.f64 (PI.f64) (.f64 F F)) (/.f64 l #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 l (neg.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (neg.f64 (/.f64 (.f64 (PI.f64) l) F)) (/.f64 #s(literal 1 binary64) (neg.f64 F)))
(.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) F) (/.f64 (.f64 (cbrt.f64 (PI.f64)) l) F))
(.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) F) (/.f64 (.f64 (cbrt.f64 (PI.f64)) l) (*.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (.f64 (sqrt.f64 (PI.f64)) l) F))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (.f64 (sqrt.f64 (PI.f64)) l) (*.f64 F #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(.f64 (.f64 (/.f64 l F) (PI.f64)) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 F F)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(.f64 (/.f64 l (.f64 F F)) (/.f64 (PI.f64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) l) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(.f64 (/.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 (neg.f64 l) (.f64 F F)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) (neg.f64 F)))
(.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l (neg.f64 F)))
(.f64 (/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)) (/.f64 l (.f64 F F)))
(.f64 (/.f64 (neg.f64 l) #s(literal -1 binary64)) (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 (neg.f64 (PI.f64)) F))
(*.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 (neg.f64 l) F))
(.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 F F)) (/.f64 (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 l #s(literal 1 binary64)) F) (/.f64 (PI.f64) F))
(.f64 (/.f64 (.f64 l #s(literal 1 binary64)) F) (/.f64 (PI.f64) (*.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 l #s(literal 1 binary64)) (*.f64 F F)) (/.f64 (PI.f64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) F) (/.f64 (cbrt.f64 (PI.f64)) F))
(.f64 (/.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) F) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 F F)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) F))
(.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) (*.f64 F F)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (.f64 (PI.f64) l) (neg.f64 F)))

eval296.0ms (1.7%)

Memory: -6.8MiB live, 714.7MiB allocated
Compiler: Compiled 54 611 to 3 461 computations (93.7% saved)

prune270.0ms (1.6%)

Memory

6.1MiB live, 588.6MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	2 037	16	2 053
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	2 045	19	2 064

Accuracy

99.8%

Counts

2 064 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.0%	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	80.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	80.2%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	67.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
▶	83.5%	(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
	83.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
	56.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))
	67.6%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 F F))))
	67.6%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (.f64 F F))))
	71.0%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))))
	70.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) F))))
▶	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
	67.7%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
▶	38.5%	(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
▶	67.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	76.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.8%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 660 to 367 computations (44.4% saved)

simplify330.0ms (1.9%)

Memory

0.4MiB live, 459.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
✓	cost-diff	0	(.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
✓	cost-diff	4800	(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
✓	cost-diff	0	(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓	cost-diff	0	(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓	cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
✓	cost-diff	384	(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	cost-diff	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
✓	cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))

Rules

12 066×	`lower-fma.f32`
12 062×	`lower-fma.f64`
4 046×	`lower-*.f32`
4 026×	`lower-*.f64`
1 672×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	464
0	80	414
1	147	374
2	325	372
3	714	372
4	2126	372
5	4782	372
0	8306	372

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
(PI.f64)
l
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (PI.f64) F)
F
(/.f64 l F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
l
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
(fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
#s(literal 1 binary64)

Outputs
(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(PI.f64)
l
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 (PI.f64) F)
F
(/.f64 l F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
l
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
(fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
#s(literal 1 binary64)

localize1.6s (9.4%)

Memory

27.7MiB live, 1 213.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
✓	accuracy	96.4%	(/.f64 (.f64 (PI.f64) l) (.f64 F F))
✓	accuracy	79.9%	(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
✓	accuracy	48.5%	(PI.f64)
✓	accuracy	99.3%	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓	accuracy	99.3%	(sqrt.f64 (PI.f64))
✓	accuracy	77.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	accuracy	48.5%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (PI.f64) F)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.1%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓	accuracy	48.5%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	99.6%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
✓	accuracy	95.8%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	48.5%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.1%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	48.5%	(PI.f64)

Samples

1.3s	136×	3	exit
33.0ms	120×	0	valid

Compiler

Compiled 362 to 39 computations (89.2% saved)

Precisions

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

ival-tan: 1.1s (87.3% of total)

ival-div: 80.0ms (6.2% of total)

ival-mult: 37.0ms (2.9% of total)

adjust: 18.0ms (1.4% of total)

ival-sqrt: 10.0ms (0.8% of total)

ival-sub: 7.0ms (0.5% of total)

ival-add: 5.0ms (0.4% of total)

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

ival-neg: 2.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory

-26.4MiB live, 84.3MiB allocated

Counts

24 → 408

Calls

Call 1

Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))) (patch (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))))) (patch (fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (patch #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #<representation binary64>) () ())
#s(alt (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (patch (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) (patch (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))) (patch (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (patch #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (patch (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))) (patch (.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (patch (.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (patch (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (.f64 F F)) (patch (/.f64 (PI.f64) (.f64 F F)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (patch #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (PI.f64) F) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (patch (/.f64 (.f64 (PI.f64) l) (.f64 F F)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())

Outputs
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) F) (taylor 0 l) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) (taylor 0 l) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F))) (taylor 0 l) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))) #<representation binary64>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
5.0ms	l	@	0	(* (+ (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))))
1.0ms	l	@	0	(* l (- (PI) (/ (PI) (* F F))))
0.0ms	l	@	inf	(* (+ (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))))
0.0ms	l	@	-inf	(* (+ (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))))
0.0ms	F	@	0	(* (+ (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))))

simplify492.0ms (2.9%)

Memory

7.0MiB live, 1 124.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 260×	`lower-fma.f64`
16 260×	`lower-fma.f32`
5 216×	`lower-*.f64`
5 216×	`lower-*.f32`
5 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	7979
1	970	7379
2	3539	6557
0	8154	6391

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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(+ (* l (PI)) (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(+ (* l (PI)) (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))

Outputs
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (* l (PI)) (pow F 2))
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(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F)) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 F F)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F)) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (.f64 F F)) (fma.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 F F))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))

rewrite372.0ms (2.2%)

Memory

-8.9MiB live, 598.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 386×	`lower-*.f32`
4 366×	`lower-*.f64`
4 244×	`lower-fma.f32`
4 240×	`lower-fma.f64`
4 002×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	358
0	80	271
1	315	235
2	2169	234
0	8526	234

Stop Event

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

Counts

24 → 1 021

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
(PI.f64)
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(.f64 (fma.f64 (PI.f64) l #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))))
(fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (PI.f64) (*.f64 F F))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(/.f64 (PI.f64) F)
(sqrt.f64 (PI.f64))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 F) #s(literal -1 binary64)) (.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))
(neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
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(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64))
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(.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))
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(/.f64 (neg.f64 (/.f64 (PI.f64) F)) (neg.f64 F))
(/.f64 (.f64 (PI.f64) #s(literal -1 binary64)) (neg.f64 (.f64 F F)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (*.f64 F F)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (PI.f64) F))) (neg.f64 (neg.f64 F)))
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(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (PI.f64) F))
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(*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (PI.f64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
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#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(exp.f64 (*.f64 (log.f64 (/.f64 F (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 F) #s(literal -1 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 F) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (PI.f64) (neg.f64 F)))
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(/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64)))
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(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 F)))
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(*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal -1 binary64) F))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 F F))) (/.f64 (.f64 (PI.f64) l) (neg.f64 (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 F l) (neg.f64 F))) (/.f64 (PI.f64) (.f64 (/.f64 F l) (neg.f64 F))))
(neg.f64 (/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F))))
(neg.f64 (/.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)))))
(/.f64 (PI.f64) (*.f64 F (/.f64 F l)))
(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) (neg.f64 F)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 F (/.f64 F l))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 (/.f64 F l) F)))
(/.f64 (.f64 (PI.f64) (neg.f64 l)) (neg.f64 (.f64 F F)))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(/.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) (/.f64 F l))
(/.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64)) (.f64 (neg.f64 F) (/.f64 F l)))
(/.f64 (.f64 #s(literal 1 binary64) l) (.f64 (/.f64 F (PI.f64)) F))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 l)) (.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(/.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 l)) (.f64 F F))
(/.f64 (.f64 l #s(literal 1 binary64)) (/.f64 (.f64 F F) (PI.f64)))
(/.f64 (.f64 (neg.f64 l) #s(literal 1 binary64)) (.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (.f64 (neg.f64 l) (neg.f64 (PI.f64))) (.f64 F F))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (*.f64 (/.f64 F l) (neg.f64 F))))
(/.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 l))) (neg.f64 (neg.f64 (.f64 F F))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F)) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 (PI.f64) F)) (neg.f64 (/.f64 F l)))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (neg.f64 (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (PI.f64) F) (neg.f64 l)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (/.f64 l F) (neg.f64 (PI.f64))) (neg.f64 F))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F)) (neg.f64 F))
(/.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) F)) (neg.f64 F))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64))) (neg.f64 (*.f64 F F)))
(/.f64 (neg.f64 (.f64 l #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) l)) (neg.f64 (.f64 (/.f64 F (PI.f64)) F)))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64))) (neg.f64 (/.f64 F l)))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 F) (/.f64 F l))))
(/.f64 (neg.f64 (/.f64 l F)) (neg.f64 (/.f64 F (PI.f64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 l))) (neg.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(/.f64 (neg.f64 (.f64 (neg.f64 (PI.f64)) (neg.f64 l))) (neg.f64 (.f64 F F)))
(/.f64 (neg.f64 (.f64 (neg.f64 l) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 F) (/.f64 F (PI.f64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 l) (neg.f64 (PI.f64)))) (neg.f64 (.f64 F F)))
(/.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 l)))) (neg.f64 (neg.f64 (neg.f64 (.f64 F F)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 F F))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) F) (neg.f64 l))) (neg.f64 (neg.f64 F)))
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(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 l F))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 (neg.f64 F)))
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(pow.f64 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (.f64 (PI.f64) (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))

eval345.0ms (2%)

Memory: 55.5MiB live, 589.8MiB allocated
Compiler: Compiled 83 460 to 6 101 computations (92.7% saved)

prune343.0ms (2%)

Memory

-30.5MiB live, 654.8MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	2 563	10	2 573
Fresh	9	3	12
Picked	2	3	5
Done	0	2	2
Total	2 574	18	2 592

Accuracy

99.8%

Counts

2 592 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	80.2%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	67.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
✓	83.5%	(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
	71.0%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
▶	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
▶	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
	71.0%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F) (/.f64 l F))))
▶	67.7%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))))
	67.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
✓	67.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	19.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
▶	19.7%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
	76.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
✓	76.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.8%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 446 to 267 computations (40.1% saved)

simplify205.0ms (1.2%)

Memory

33.5MiB live, 191.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
✓	cost-diff	768	(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
✓	cost-diff	384	(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
✓	cost-diff	0	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
✓	cost-diff	0	(/.f64 (.f64 l (PI.f64)) (.f64 F F))
✓	cost-diff	0	(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
✓	cost-diff	0	#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
✓	cost-diff	0	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))
✓	cost-diff	0	(neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))

Rules

2 728×	`lower-fma.f32`
2 726×	`lower-fma.f64`
1 600×	`lower-*.f32`
1 594×	`div-sub`
1 584×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	363
0	79	359
1	144	347
2	278	347
3	521	347
4	868	347
5	1626	347
6	2727	347
7	3963	347
8	5219	347
9	5612	347
10	5723	347
11	5739	347
12	5751	347
13	6255	347
14	6675	347
15	7309	347
0	8027	347

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(*.f64 F F)
F
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(/.f64 l (*.f64 F F))
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))
(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
(*.f64 (/.f64 F l) F)
(/.f64 F l)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 l F)
F
(/.f64 F (PI.f64))

Outputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (*.f64 F F)))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 F (neg.f64 F)))
(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))
(/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 F F))
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(*.f64 F F)
F
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F (neg.f64 F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F (neg.f64 F))))
(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(/.f64 (.f64 (PI.f64) l) (.f64 F (neg.f64 F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 l (*.f64 F F))
(*.f64 F F)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 (/.f64 F l) F)
(/.f64 (*.f64 F F) l)
(/.f64 F l)
F
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 l F)
F
(/.f64 F (PI.f64))

localize488.0ms (2.8%)

Memory

7.0MiB live, 707.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
✓	accuracy	99.6%	(/.f64 F (PI.f64))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	52.4%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
✓	accuracy	99.8%	(*.f64 (/.f64 F l) F)
✓	accuracy	99.6%	(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	52.4%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))
✓	accuracy	99.7%	(.f64 (/.f64 l (.f64 F F)) (PI.f64))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	89.5%	(/.f64 l (*.f64 F F))
✓	accuracy	52.4%	#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	89.3%	(/.f64 (.f64 l (PI.f64)) (.f64 F F))
✓	accuracy	71.4%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
✓	accuracy	50.5%	#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
✓	accuracy	98.4%	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	87.6%	(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))
✓	accuracy	47.7%	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))

Samples

164.0ms	88×	1	valid
155.0ms	42×	2	valid
59.0ms	7×	3	valid
33.0ms	119×	0	valid

Compiler

Compiled 290 to 40 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-tan: 294.0ms (77.6% of total)

ival-div: 30.0ms (7.9% of total)

ival-mult: 24.0ms (6.3% of total)

ival-sqrt: 10.0ms (2.6% of total)

adjust: 8.0ms (2.1% of total)

ival-sub: 5.0ms (1.3% of total)

ival-neg: 4.0ms (1.1% of total)

ival-pi: 2.0ms (0.5% of total)

ival-add: 2.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory

7.4MiB live, 47.6MiB allocated

Counts

25 → 480

Calls

Call 1

Inputs
#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))) (patch (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)) (patch (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))) (patch #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))) #<representation binary64>) () ())
#s(alt #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) (patch #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))) (patch (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 l (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 l (PI.f64)) (.f64 F F)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))) (patch (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 (PI.f64) l) (patch (.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (.f64 (/.f64 F l) F)) (patch (/.f64 (PI.f64) (.f64 (/.f64 F l) F)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))) (patch (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) (patch (/.f64 (/.f64 l F) (/.f64 F (PI.f64))) #<representation binary64>) () ())
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#s(alt (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (patch (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
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#s(alt (.f64 (/.f64 l (.f64 F F)) (PI.f64)) (patch (.f64 (/.f64 l (.f64 F F)) (PI.f64)) #<representation binary64>) () ())
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#s(alt (.f64 (/.f64 F l) F) (patch (.f64 (/.f64 F l) F) #<representation binary64>) () ())
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#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())

Outputs
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
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#s(alt (* l (PI)) (taylor inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
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#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))) #<representation binary64>) () ())) ())
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#s(alt (* l (- (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))) (patch (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor 0 F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor 0 F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor 0 F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor 0 F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor -inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor -inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor -inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ F (PI)) (taylor -inf F) (#s(alt (/.f64 F (PI.f64)) (patch (/.f64 F (PI.f64)) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
0.0ms	l	@	-inf	(/ l (* F F))
0.0ms	l	@	0	(/ l (* F F))
0.0ms	F	@	0	(/ F (PI))
0.0ms	F	@	-inf	(/ F (PI))
0.0ms	F	@	0	(* (/ F l) F)

simplify753.0ms (4.4%)

Memory

-114.4MiB live, 829.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 910×	`lower-fma.f64`
17 910×	`lower-fma.f32`
7 026×	`lower-*.f64`
7 026×	`lower-*.f32`
2 882×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	7086
1	457	6679
2	1512	6285
3	7207	5987
0	8846	5868

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* l (- (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(/ l (pow F 2))
(/ l (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (pow F 2) l)
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))

Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(* l (- (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal -1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (.f64 F F))))
(* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 F F)) #s(literal -1/3 binary64)) (.f64 (.f64 l l) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))))) (.f64 F F))))) (/.f64 (neg.f64 (PI.f64)) (.f64 F F))))
(* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (-.f64 (.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 F F)) #s(literal -1/3 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal -1/2 binary64) (.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (PI.f64))))) (.f64 F F))))))) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 F F))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))

rewrite463.0ms (2.7%)

Memory

11.2MiB live, 397.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 298×	`lower-/.f32`
4 282×	`lower-/.f64`
4 244×	`lower-fma.f32`
4 242×	`lower-fma.f64`
4 240×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	305
0	79	277
1	308	249
2	2004	249
0	8448	249

Stop Event

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

Counts

25 → 1 030

Calls

Call 1

Inputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
(PI.f64)
(neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(*.f64 (PI.f64) l)
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))
(/.f64 (PI.f64) (*.f64 (/.f64 F l) F))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(sqrt.f64 (PI.f64))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 l (*.f64 F F))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F)))
(*.f64 (/.f64 F l) F)
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(/.f64 F (PI.f64))

Outputs
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(+.f64 (.f64 (PI.f64) l) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(+.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))))
(exp.f64 (.f64 (log.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))) #s(literal 1 binary64)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (.f64 (PI.f64) l)) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (.f64 (PI.f64) l)) (.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (+.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (tan.f64 (.f64 (PI.f64) l))))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))) (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 (PI.f64) (.f64 l (*.f64 (PI.f64) l)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (PI.f64) l (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 l (PI.f64) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 F F))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal -1 binary64) (*.f64 (PI.f64) l))
(fma.f64 (.f64 (PI.f64) l) #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (.f64 l #s(literal 1 binary64)) (PI.f64) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 F F))) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(fma.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))))
(fma.f64 (.f64 l (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 l))) (neg.f64 (neg.f64 (neg.f64 (*.f64 F F)))))
(/.f64 (neg.f64 (.f64 l #s(literal -1 binary64))) (neg.f64 (neg.f64 (.f64 F F))))
(pow.f64 (/.f64 (*.f64 F F) l) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 F F) l) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 l (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 #s(literal 1 binary64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) l)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)))
(*.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F))
(.f64 (neg.f64 l) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F))
(.f64 (.f64 l #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 F F))) (neg.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 F (neg.f64 (PI.f64)))) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 F F) l))) (neg.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 F F) (PI.f64)))) (neg.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 F (PI.f64)) (neg.f64 F))) (/.f64 l (.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(neg.f64 (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)))))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(/.f64 (/.f64 l (*.f64 F F)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))
(/.f64 (/.f64 l (neg.f64 F)) (/.f64 F (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 (*.f64 F F) l)))
(/.f64 (neg.f64 l) (neg.f64 (/.f64 (*.f64 F F) (PI.f64))))
(/.f64 (neg.f64 l) (*.f64 (/.f64 F (PI.f64)) (neg.f64 F)))
(/.f64 (.f64 (PI.f64) (neg.f64 l)) (neg.f64 (.f64 F F)))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(/.f64 (.f64 l #s(literal 1 binary64)) (/.f64 (.f64 F F) (PI.f64)))
(/.f64 (.f64 (neg.f64 l) #s(literal 1 binary64)) (.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 (/.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 l)) (neg.f64 (*.f64 (/.f64 F (PI.f64)) (neg.f64 F))))
(/.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 l))) (neg.f64 (neg.f64 (.f64 F F))))
(/.f64 (neg.f64 (/.f64 (PI.f64) F)) (neg.f64 (/.f64 F l)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 (neg.f64 (/.f64 (*.f64 F F) l))))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F)) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 l (*.f64 F F))) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64)) (neg.f64 (*.f64 F F)))
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)
(/.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) F)) (neg.f64 F))
(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
(/.f64 (neg.f64 (.f64 l #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 F F) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (PI.f64)))) (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 F F) l)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) (neg.f64 l)))) (neg.f64 (neg.f64 (neg.f64 (.f64 F F)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) l) F))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64))) (neg.f64 (*.f64 F F)))
(/.f64 (neg.f64 (*.f64 (/.f64 l F) (PI.f64))) (neg.f64 F))
(/.f64 (neg.f64 (.f64 (neg.f64 l) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 F) (/.f64 F (PI.f64)))))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) l) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 F F))))
(/.f64 (neg.f64 (*.f64 (/.f64 l F) #s(literal 1 binary64))) (/.f64 F (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 l) (/.f64 (PI.f64) F))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (/.f64 l (/.f64 F (PI.f64)))) (neg.f64 F))
(pow.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) #s(literal -1 binary64))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 l (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 F F) l)))
(.f64 #s(literal 1 binary64) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(.f64 (/.f64 l (.f64 F F)) (PI.f64))
(.f64 (/.f64 l (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 l F) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 F F) l)))
(*.f64 (/.f64 l (neg.f64 F)) (/.f64 #s(literal -1 binary64) (/.f64 F (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 F F) l))))
(.f64 (.f64 (PI.f64) (neg.f64 l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (.f64 (PI.f64) l) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 l F)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 F l)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) F) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 F l)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 F l)) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 F l)) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 (PI.f64) F))
(.f64 (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (/.f64 l (*.f64 F F)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64)))
(*.f64 (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 F l) (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 F l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 F (PI.f64)) l) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (pow.f64 (/.f64 (/.f64 F (PI.f64)) (neg.f64 l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 F)))
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (neg.f64 (/.f64 (*.f64 F F) l)))
(/.f64 F (/.f64 l F))
(/.f64 (*.f64 F F) l)
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 F F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 F F))))
(/.f64 (neg.f64 (*.f64 F F)) (neg.f64 l))
(/.f64 (neg.f64 F) (/.f64 l (neg.f64 F)))
(/.f64 (neg.f64 (neg.f64 (*.f64 F F))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 F #s(literal 1 binary64)) (/.f64 l F))
(/.f64 (*.f64 #s(literal 1 binary64) F) (/.f64 l F))
(/.f64 (neg.f64 (*.f64 F #s(literal 1 binary64))) (/.f64 l (neg.f64 F)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) F)) (/.f64 l (neg.f64 F)))
(pow.f64 (/.f64 l (*.f64 F F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F F) l) #s(literal 1 binary64))
(*.f64 F (/.f64 F l))
(.f64 (.f64 F F) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 F l) F)
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) F)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 F (neg.f64 (PI.f64))))
(neg.f64 (/.f64 F (neg.f64 (PI.f64))))
(/.f64 F (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64))))
(/.f64 (neg.f64 F) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 F)) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 F (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 F #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 F #s(literal 1 binary64)) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 F))) (neg.f64 (neg.f64 (neg.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 F #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 F #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 F (PI.f64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) F) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 F (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 F (PI.f64)))
(*.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) F)
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) F) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))

eval432.0ms (2.5%)

Memory: 7.9MiB live, 387.1MiB allocated
Compiler: Compiled 42 201 to 4 216 computations (90% saved)

prune377.0ms (2.2%)

Memory

13.5MiB live, 406.9MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	2 056	8	2 064
Fresh	4	4	8
Picked	2	3	5
Done	0	5	5
Total	2 062	20	2 082

Accuracy

99.8%

Counts

2 082 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	80.2%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	67.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
✓	83.5%	(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
✓	71.1%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
	71.0%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) (PI.f64))))
	67.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
✓	67.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	19.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
	19.7%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
	23.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
	23.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))
	23.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
✓	19.7%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
	23.1%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
	23.0%	#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
	76.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
✓	76.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.8%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 921 to 302 computations (67.2% saved)

regimes122.0ms (0.7%)

Memory

-26.2MiB live, 113.9MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F) (/.f64 l F))))
(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (PI.f64) l (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l)))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

6 calls:

34.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))
27.0ms	F
21.0ms	l
13.0ms	(*.f64 (PI.f64) l)
12.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
83.6%	1	`F`
99.4%	2	`l`
89.9%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.4%	2	`(*.f64 (PI.f64) l)`
83.6%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
83.6%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes23.0ms (0.1%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F) (/.f64 l F))))
(.f64 (.f64 (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) (-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs

(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

2 calls:

11.0ms	(*.f64 (PI.f64) l)
10.0ms	l

Results

Accuracy	Segments	Branch
99.2%	2	`l`
99.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.1%)

Memory

-9.9MiB live, 30.0MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 l (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

2 calls:

14.0ms	(*.f64 (PI.f64) l)
9.0ms	l

Results

Accuracy	Segments	Branch
99.2%	2	`l`
99.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes30.0ms (0.2%)

Memory

-24.3MiB live, 20.3MiB allocated

Counts

26 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (PI.f64) (*.f64 (/.f64 F l) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

2 calls:

21.0ms	l
8.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
99.2%	2	`l`
99.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (.f64 l (PI.f64))) (.f64 F F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 (/.f64 (/.f64 l F) (neg.f64 F)) (neg.f64 (PI.f64))))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (.f64 (/.f64 (.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

2 calls:

6.0ms	(*.f64 (PI.f64) l)
6.0ms	l

Results

Accuracy	Segments	Branch
95.8%	2	`l`
95.8%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (*.f64 l (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F))))

Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

2 calls:

3.0ms	(*.f64 (PI.f64) l)
3.0ms	l

Results

Accuracy	Segments	Branch
95.2%	2	`l`
95.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes48.0ms (0.3%)

Memory

-23.2MiB live, 15.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64)))))
#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))

Outputs

#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

6 calls:

37.0ms	(*.f64 F F)
2.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
2.0ms	(*.f64 (PI.f64) l)
2.0ms	l
2.0ms	F

Results

Accuracy	Segments	Branch
76.8%	1	`F`
76.8%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
76.8%	1	`(*.f64 F F)`
85.1%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
79.4%	2	`l`
79.4%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))

Outputs

#s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))

#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

1 calls:

2.0ms

(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
85.1%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Calls

4 calls:

1.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
1.0ms	(*.f64 (PI.f64) l)
1.0ms	l
1.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
76.8%	1	`(*.f64 F F)`
76.8%	1	`l`
76.8%	1	`(*.f64 (PI.f64) l)`
76.8%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1656177104.3545353	2871099673239490.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.848306421914082e-5	0.003614815115021484

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.848306421914082e-5	0.003614815115021484

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.848306421914082e-5	0.003614815115021484

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.848306421914082e-5	0.003614815115021484

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.848306421914082e-5	0.003614815115021484

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.33966619058884e-279	3.779048306061459e-297

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.33966619058884e-279	3.779048306061459e-297

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify15.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Algorithm

1×	egg-herbie

Rules

118×	`neg-mul-1_binary64`
106×	`unsub-neg_binary64`
58×	`*-commutative_binary64`
54×	`+-commutative_binary64`
54×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	435
1	123	435
2	183	435
3	225	435
4	252	435
5	337	435
6	467	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (PI.f64) (/.f64 l (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (/.f64 l (.f64 F F)) (neg.f64 (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -6386688990511103/1277337798102220679460078536343576682283168806678692826561630235159815610796137002102373097915286848697179165980283196956142360312571899942873069950902292109004803630688694832971224141724392311796898148316508111355731718691277357048888867371806748260804557380400483866651109436947420166353846272 binary64)) #s(approx (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

soundness1.4s (8.2%)

Memory

-9.4MiB live, 1 041.2MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
16 260×	`lower-fma.f64`
16 260×	`lower-fma.f32`
9 266×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	7979
1	970	7379
2	3539	6557
0	8154	6391
0	47	358
0	80	271
1	315	235
2	2169	234
0	8526	234
0	366	7995
1	1112	7524
2	4151	7161
0	8998	6981
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	48	305
0	79	277
1	308	249
2	2004	249
0	8448	249
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	28	173
0	45	163
1	200	163
2	1264	163
0	8243	163

Stop Event

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

Compiler

Compiled 490 to 226 computations (53.9% saved)

preprocess159.0ms (0.9%)

Memory: -37.1MiB live, 292.5MiB allocated
Remove: (abs F)
Compiler: Compiled 742 to 260 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39

analyze203.0ms (1.2%)

sample4.7s (27.2%)

preprocess88.0ms (0.5%)

explain508.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.2%)

localize249.0ms (1.5%)

series13.0ms (0.1%)

simplify764.0ms (4.5%)

rewrite248.0ms (1.4%)

eval116.0ms (0.7%)

prune182.0ms (1.1%)

simplify84.0ms (0.5%)

localize265.0ms (1.5%)

series29.0ms (0.2%)

simplify509.0ms (3%)

rewrite484.0ms (2.8%)

eval296.0ms (1.7%)

prune270.0ms (1.6%)

simplify330.0ms (1.9%)

localize1.6s (9.4%)

series37.0ms (0.2%)

simplify492.0ms (2.9%)

rewrite372.0ms (2.2%)

eval345.0ms (2%)

prune343.0ms (2%)

simplify205.0ms (1.2%)

localize488.0ms (2.8%)

series29.0ms (0.2%)

simplify753.0ms (4.4%)

rewrite463.0ms (2.7%)

eval432.0ms (2.5%)

prune377.0ms (2.2%)

regimes122.0ms (0.7%)

regimes23.0ms (0.1%)

regimes25.0ms (0.1%)

regimes30.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0%)

regimes48.0ms (0.3%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.4s (8.2%)

preprocess159.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	43
0	17	43
1	30	39
2	64	39
3	141	39
4	219	39
5	331	39
6	401	39
7	483	39
8	592	39
9	662	39
10	730	39
11	766	39
0	766	39