Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze211.0ms (1.2%)

Memory

25.4MiB live, 263.6MiB 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)

sample4.8s (26.6%)

Memory

99.5MiB live, 4 508.2MiB allocated

Samples

3.7s	3 714×	1	valid
329.0ms	4 470×	0	valid
197.0ms	72×	2	valid
2.0ms	5×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 4.0s

ival-tan: 3.0s (75% of total)

ival-mult: 604.0ms (15% of total)

ival-pi: 162.0ms (4% of total)

ival-div: 93.0ms (2.3% of total)

adjust: 75.0ms (1.9% of total)

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

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

exact: 6.0ms (0.1% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain488.0ms (2.7%)

Memory

13.7MiB live, 610.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
125	0	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
62	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
3	1	(-2.699010325063157e+161 -1.1624472429183579e+58)	-	`(/.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	125	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	20	0

Confusion

	Predicted +	Predicted -
+	76	0
-	69	111

Precision

0.5241379310344828

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	76	0	0
-	69	0	111

Precision?

0.5241379310344828

Recall?

1.0

Freqs

test

number	freq
0	111
1	145

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

162.0ms	84×	2	valid
137.0ms	134×	1	valid
67.0ms	20×	3	valid
25.0ms	274×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 367.0ms

ival-tan: 325.0ms (88.5% of total)

ival-mult: 17.0ms (4.6% of total)

ival-pi: 8.0ms (2.2% of total)

ival-div: 7.0ms (1.9% of total)

adjust: 6.0ms (1.6% 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)

preprocess80.0ms (0.4%)

Memory

12.9MiB live, 133.0MiB 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)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.7%	(-.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)

simplify30.0ms (0.2%)

Memory

-7.2MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

localize284.0ms (1.6%)

Memory

-23.3MiB live, 339.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(*.f64 (PI.f64) l)
accuracy	0.388064662453527	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	15.123367396738365	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	29.385394120646254	(tan.f64 (*.f64 (PI.f64) l))

Samples

81.0ms	67×	1	valid
78.0ms	42×	2	valid
33.0ms	10×	3	valid
13.0ms	137×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

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

ival-tan: 173.0ms (90.9% of total)

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

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

adjust: 3.0ms (1.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB 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	@	0	(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms	l	@	inf	(* (/ 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))))

simplify572.0ms (3.1%)

Memory

-17.1MiB live, 828.5MiB 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))
(* l (PI))
(* l (PI))
(* l (PI))
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(* l (PI))
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(* l (PI))
(* 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))))
(/ (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))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* 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))
(* 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))

rewrite535.0ms (2.9%)

Memory

37.6MiB live, 491.2MiB allocated

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))

eval93.0ms (0.5%)

Memory: -14.7MiB live, 142.1MiB allocated
Compiler: Compiled 12 853 to 1 237 computations (90.4% saved)

prune110.0ms (0.6%)

Memory

-15.2MiB live, 185.0MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	459	17	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	460	17	477

Accuracy

99.8%

Counts

477 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.0%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	72.0%	(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))))
	35.8%	(fma.f64 (.f64 (PI.f64) (.f64 l l)) (/.f64 (PI.f64) (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))))))
▶	72.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	72.0%	(/.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)))))
	71.4%	(-.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))))
▶	79.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	79.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	72.1%	(-.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)))))
▶	78.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	72.1%	(-.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))))
	71.6%	(-.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))))
	66.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	66.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))))
	66.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 626 to 362 computations (42.2% saved)

simplify84.0ms (0.5%)

Memory

24.7MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 l (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	3840	(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))))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
cost-diff	384	(/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 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	(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

768×	`lower-fma.f32`
764×	`lower-fma.f64`
640×	`lower-*.f32`
630×	`lower-*.f64`
316×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	218
0	51	205
1	90	203
2	164	202
3	338	202
4	560	202
5	801	202
6	1062	202
7	1313	202
8	1550	202
9	1758	202
10	1780	202
11	1785	202
12	1786	202
13	1786	202
0	1786	202

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

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

localize1.1s (6.1%)

Memory

10.0MiB live, 1 332.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5390625	(sqrt.f64 (PI.f64))
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	4.538908789710337	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.23953537073140577	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	4.538908789710337	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(*.f64 l (PI.f64))
accuracy	17.615022509421326	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.0703125	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.577429254082226	(PI.f64)

Samples

976.0ms	118×	3	exit
36.0ms	138×	0	valid

Compiler

Compiled 218 to 28 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 894.0ms

ival-tan: 815.0ms (91.2% of total)

ival-div: 24.0ms (2.7% of total)

ival-mult: 19.0ms (2.1% of total)

adjust: 14.0ms (1.6% of total)

ival-sqrt: 7.0ms (0.8% of total)

ival-sub: 6.0ms (0.7% of total)

ival-add: 4.0ms (0.4% of total)

ival-pi: 2.0ms (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)

series166.0ms (0.9%)

Memory

-25.2MiB live, 118.1MiB allocated

Counts

17 → 300

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 (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 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) #<representation binary64>) () ())
#s(alt (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (patch (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (patch (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 (PI.f64) l)) (patch (tan.f64 (.f64 (PI.f64) l)) #<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>) () ())) ())
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#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (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)))) (patch (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)))) #<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 (.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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor 0 l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor 0 l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor 0 l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor 0 l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor -inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor -inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor -inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow (PI) 3)) 1/4) l) (taylor -inf l) (#s(alt (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor 0 l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor 0 l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor 0 l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor 0 l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor -inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor -inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor -inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (sqrt (PI))) (taylor -inf l) (#s(alt (.f64 l (sqrt.f64 (PI.f64))) (patch (.f64 l (sqrt.f64 (PI.f64))) #<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>) () ())) ())

Calls

75 calls:

Time	Variable		Point	Expression
107.0ms	l	@	0	(* (* l (sqrt (PI))) (sqrt (sqrt (PI))))
39.0ms	l	@	inf	(/ 1 (/ F (/ (tan (* (PI) l)) F)))
2.0ms	F	@	inf	(/ F (/ (tan (* (PI) l)) F))
1.0ms	l	@	0	(/ F (/ (tan (* (PI) l)) F))
1.0ms	l	@	-inf	(/ F (/ (tan (* (PI) l)) F))

simplify857.0ms (4.7%)

Memory

-8.5MiB live, 586.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 230×	`lower-fma.f64`
12 230×	`lower-fma.f32`
5 950×	`lower-*.f64`
5 950×	`lower-*.f32`
4 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	6030
1	584	5682
2	2258	5175
0	8062	5056

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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))
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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))))
(* 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)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (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))))

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

rewrite435.0ms (2.4%)

Memory

26.3MiB live, 616.2MiB allocated

Rules

6 516×	`lower-fma.f32`
6 512×	`lower-fma.f64`
5 274×	`lower-*.f32`
5 264×	`lower-*.f64`
4 606×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	145
0	51	130
1	193	129
2	1359	127
0	8599	127

Stop Event

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

Counts

17 → 793

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

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

eval254.0ms (1.4%)

Memory: 10.5MiB live, 578.9MiB allocated
Compiler: Compiled 44 349 to 2 955 computations (93.3% saved)

prune327.0ms (1.8%)

Memory

-9.0MiB live, 445.8MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 936	13	1 949
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	1 946	20	1 966

Accuracy

99.9%

Counts

1 966 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	66.9%	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
▶	79.0%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
▶	72.0%	(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))))
✓	72.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	66.9%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
	61.1%	(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
	78.9%	(-.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))
	73.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	79.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	72.1%	(-.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)))))
▶	73.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F))))
	79.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	72.1%	(-.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))))
	58.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))
	66.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
▶	66.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
	71.8%	#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))))))
✓	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 628 to 389 computations (38.1% saved)

simplify366.0ms (2%)

Memory

-3.1MiB live, 333.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
cost-diff	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F))))
cost-diff	384	(/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) 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 (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
cost-diff	0	(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

Rules

6 368×	`lower-fma.f32`
6 362×	`lower-fma.f64`
2 400×	`lower-*.f32`
2 386×	`lower-*.f64`
1 460×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	314
0	75	315
1	124	312
2	237	305
3	453	303
4	777	303
5	1311	303
6	1973	303
7	3197	303
8	3773	303
9	4151	303
10	4323	303
11	4396	303
12	4420	303
13	4736	303
14	5034	303
15	5320	303
16	5538	303
17	6511	303
18	7470	303
19	7824	303
20	7908	303
0	8002	303

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

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

localize1.2s (6.8%)

Memory

51.1MiB live, 1 727.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5390625	(sqrt.f64 (PI.f64))
accuracy	0.808027304170039	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
accuracy	4.538908789710336	(/.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	28.577429254082226	(PI.f64)
accuracy	0.06869125976844201	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(*.f64 l (PI.f64))
accuracy	0.23953537073140577	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F)))
accuracy	2.0771058983047808	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.21771984510597148	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
accuracy	0.36444890037163047	(/.f64 (PI.f64) (*.f64 F F))
accuracy	4.830456439964172	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.10546875	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.577429254082226	(PI.f64)

Samples

1.1s	118×	3	exit
40.0ms	138×	0	valid

Compiler

Compiled 289 to 38 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-tan: 1.0s (90.8% of total)

ival-div: 27.0ms (2.4% of total)

ival-mult: 24.0ms (2.1% of total)

adjust: 18.0ms (1.6% of total)

ival-sqrt: 11.0ms (1% of total)

ival-add: 9.0ms (0.8% of total)

ival-sub: 6.0ms (0.5% of total)

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

ival-pi: 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)

series281.0ms (1.5%)

Memory

-130.2MiB live, 63.2MiB allocated

Counts

23 → 420

Calls

Call 1

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

Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#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 (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#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 (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#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>) () ())) ())

Calls

105 calls:

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

simplify448.0ms (2.5%)

Memory

8.1MiB live, 687.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 622×	`lower-fma.f64`
14 622×	`lower-fma.f32`
5 872×	`lower-*.f64`
5 872×	`lower-*.f32`
4 128×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	8212
1	944	7796
2	3457	7153
0	8129	6982

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* 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 (/ (* 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))))))
(* 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))))
(/ (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) (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) (* l (PI)))
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(/ (* 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 (* l (PI)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 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 (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/ (* 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))))
(/ (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))
(* 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))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))

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

rewrite285.0ms (1.6%)

Memory

12.9MiB live, 394.0MiB allocated

Rules

4 434×	`lower-*.f32`
4 422×	`lower-*.f64`
3 676×	`lower-/.f32`
3 656×	`lower-/.f64`
2 672×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	233
0	75	208
1	273	190
2	2286	190
0	8204	190

Stop Event

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

Counts

23 → 967

Calls

Call 1

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

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

eval307.0ms (1.7%)

Memory: 15.8MiB live, 508.9MiB allocated
Compiler: Compiled 44 925 to 4 652 computations (89.6% saved)

prune252.0ms (1.4%)

Memory

-1.4MiB live, 535.2MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2 022	12	2 034
Fresh	7	6	13
Picked	5	0	5
Done	0	2	2
Total	2 034	20	2 054

Accuracy

99.9%

Counts

2 054 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.0%	(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
✓	72.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	61.1%	(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
▶	73.8%	(fma.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	73.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
	72.1%	(-.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)))))
▶	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F))))
	73.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) F)))
	58.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))
	66.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	53.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
	66.9%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
	66.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 F F)) (PI.f64))))
▶	66.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
	66.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64))))))
	21.1%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
▶	21.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
	71.8%	#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))))))
✓	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 586 to 349 computations (40.4% saved)

simplify281.0ms (1.5%)

Memory

16.8MiB live, 443.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F))))
cost-diff	384	(/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F)))
cost-diff	1600	(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff	0	(/.f64 (PI.f64) F)
cost-diff	0	(*.f64 l (/.f64 (PI.f64) F))
cost-diff	0	#s(approx (/ (tan (* (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F)))
cost-diff	192	(fma.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
cost-diff	0	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
cost-diff	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
cost-diff	384	(/.f64 (/.f64 (PI.f64) F) F)
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 (- (* (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 #s(literal -1 binary64) F)
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
cost-diff	960	(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

Rules

10 398×	`lower-fma.f32`
10 394×	`lower-fma.f64`
3 088×	`lower-*.f32`
3 074×	`lower-*.f64`
1 486×	`lower--.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	316
0	71	312
1	119	292
2	213	286
3	456	286
4	1023	285
5	1825	285
6	2819	285
7	4284	285
8	5760	285
9	7805	285
0	8134	285

Stop Event

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

Calls

Call 1

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

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

localize1.1s (6.1%)

Memory

-26.4MiB live, 1 364.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.23953537073140577	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F)))
accuracy	0.5390625	(sqrt.f64 (PI.f64))
accuracy	2.0771058983047808	#s(approx (tan (* (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(/.f64 (PI.f64) F)
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	2.0672474175102367	#s(approx (/ (tan (* (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F)))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.14453125	(/.f64 (PI.f64) F)
accuracy	0.21771984510597148	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
accuracy	4.830456439964172	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.21771984510597148	#s(approx (- (* (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	4.535002539710336	(/.f64 (.f64 l (PI.f64)) (.f64 F F))
accuracy	16.308255082009225	#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
accuracy	28.577429254082226	(PI.f64)
accuracy	0.10546875	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
accuracy	0.14453125	(*.f64 (PI.f64) l)
accuracy	0.808027304170039	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.577429254082226	(PI.f64)

Samples

986.0ms	118×	3	exit
33.0ms	138×	0	valid

Compiler

Compiled 230 to 36 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 982.0ms

ival-tan: 834.0ms (84.9% of total)

ival-div: 59.0ms (6% of total)

ival-sub: 32.0ms (3.3% of total)

ival-mult: 28.0ms (2.9% of total)

adjust: 17.0ms (1.7% of total)

ival-add: 5.0ms (0.5% of total)

ival-sqrt: 4.0ms (0.4% of total)

ival-pi: 2.0ms (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)

series30.0ms (0.2%)

Memory

-2.4MiB live, 35.8MiB allocated

Counts

25 → 456

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor inf F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
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Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	F	@	-inf	(* l (/ (PI) F))
0.0ms	l	@	inf	(neg (/ (* l (PI)) (* F F)))
0.0ms	l	@	inf	(* l (/ (PI) F))
0.0ms	F	@	0	(neg (/ (* l (PI)) (* F F)))
0.0ms	F	@	-inf	(/ (PI) F)

simplify568.0ms (3.1%)

Memory

-3.1MiB live, 499.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 594×	`lower-fma.f64`
14 594×	`lower-fma.f32`
5 926×	`lower-*.f64`
5 926×	`lower-*.f32`
4 102×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	7146
1	942	6952
2	3498	6356
0	8177	6225

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(* -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 (/ (* l (PI)) (pow F 2)))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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 (/ (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) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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)))))))))))))
(* 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))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(* 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 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* 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))
(/ (* l (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))
(/ (PI) (pow F 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) (/ (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) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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)))))))))))))
(* 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))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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)) F)
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(/ (- (* (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))))))
(* 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 l (.f64 l (.f64 (.f64 (PI.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 (.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (PI.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 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.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 (PI.f64) (PI.f64))) (fma.f64 (.f64 (.f64 (PI.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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (PI.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))
(*.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))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/.f64 (fma.f64 (.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 F (.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (fma.f64 l (neg.f64 (.f64 l (fma.f64 (.f64 l l) (.f64 (/.f64 F (.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (PI.f64)))) (/.f64 (.f64 F (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 F (PI.f64))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 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 (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 l (neg.f64 (.f64 l (fma.f64 l (.f64 l (fma.f64 F (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (neg.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.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 (PI.f64) (PI.f64))))) (/.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.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 (PI.f64) (PI.f64))) (fma.f64 (.f64 (.f64 (PI.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))))) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 (.f64 (.f64 (/.f64 F (.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (PI.f64)))) (.f64 (/.f64 F (.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (PI.f64))))))) (/.f64 (.f64 (.f64 F (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 F (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.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 l (.f64 l (.f64 (.f64 (PI.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 (.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (.f64 (.f64 (PI.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 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.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 (PI.f64) (PI.f64))) (fma.f64 (.f64 (.f64 (PI.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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (PI.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))))

rewrite399.0ms (2.2%)

Memory

22.9MiB live, 389.7MiB allocated

Rules

4 980×	`lower-*.f32`
4 966×	`lower-*.f64`
4 058×	`lower-/.f32`
4 040×	`lower-/.f64`
2 250×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	263
0	71	243
1	268	237
2	2092	237
0	8315	236

Stop Event

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

Counts

25 → 678

Calls

Call 1

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

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

eval494.0ms (2.7%)

Memory: -5.3MiB live, 416.4MiB allocated
Compiler: Compiled 33 272 to 3 668 computations (89% saved)

prune544.0ms (3%)

Memory

-13.6MiB live, 522.6MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 662	9	1 671
Fresh	4	9	13
Picked	2	3	5
Done	0	2	2
Total	1 668	23	1 691

Accuracy

99.9%

Counts

1 691 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.0%	(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
✓	72.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	61.1%	(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
	72.1%	(-.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)))))
✓	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F))))
	73.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) F)))
	58.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))
	53.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (/.f64 (.f64 (-.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 F F) (.f64 F F)))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
	66.9%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
	66.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (PI.f64))))))
	21.1%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (/.f64 (neg.f64 (PI.f64)) (.f64 F F)))))
	28.4%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) (neg.f64 l)) F) F)))
	28.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l F) (/.f64 (PI.f64) (neg.f64 F)))))
	21.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
	21.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (PI.f64) (/.f64 l (.f64 F (neg.f64 F))))))
	28.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))))
	28.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
	28.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (neg.f64 F))) (neg.f64 F)))))
✓	21.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F F)))))
	28.3%	#s(approx (- (* (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)))))
	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
	71.8%	#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))))))
✓	72.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 1 074 to 372 computations (65.4% saved)

regimes155.0ms (0.8%)

Memory

23.0MiB live, 181.4MiB allocated

Counts

52 → 2

Calls

Call 1

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

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:

58.0ms	F
29.0ms	l
20.0ms	(*.f64 F F)
20.0ms	(*.f64 (PI.f64) l)
13.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
82.2%	2	`F`
99.5%	2	`l`
89.5%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.5%	2	`(*.f64 (PI.f64) l)`
79.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
79.0%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes22.0ms (0.1%)

Memory

-12.8MiB live, 63.9MiB allocated

Counts

33 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	2	`l`
99.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

4.4MiB live, 43.1MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	l
6.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
92.3%	2	`l`
92.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (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) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (PI.f64) (/.f64 l (.f64 F (neg.f64 F))))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (/.f64 (neg.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 (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F 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
91.9%	2	`l`
91.9%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-12.6MiB live, 29.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

#s(approx (- (* (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

4 calls:

4.0ms	(*.f64 (PI.f64) l)
2.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
2.0ms	l
2.0ms	F

Results

Accuracy	Segments	Branch
76.4%	3	`F`
81.4%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
76.0%	3	`l`
76.0%	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes9.0ms (0%)

Memory

-13.1MiB live, 25.6MiB 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

6 calls:

2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))
1.0ms	(*.f64 (PI.f64) l)
1.0ms	F
1.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
1.0ms	l

Results

Accuracy	Segments	Branch
72.2%	1	`l`
72.2%	1	`(*.f64 (PI.f64) l)`
72.2%	1	`F`
72.2%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
72.2%	1	`(*.f64 F F)`
72.2%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1610890521.0740364	36211059114.94305

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1610890521.0740364	36211059114.94305

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1610890521.0740364	36211059114.94305

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1610890521.0740364	36211059114.94305

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.830471599938426e-267	6.60488174375103e-303

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify14.0ms (0.1%)

Memory

-8.4MiB live, 30.2MiB allocated

Algorithm

1×	egg-herbie

Rules

98×	`neg-mul-1_binary64`
84×	`unsub-neg_binary64`
44×	`*-commutative_binary64`
44×	`+-commutative_binary64`
44×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	254
1	84	254
2	134	254
3	170	254
4	196	254
5	269	254
6	377	254
7	379	254

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 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (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 2000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 (PI.f64) (-.f64 l (/.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 2000000000 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 -290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) #s(approx (- (* (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 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (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 2000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.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 2000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 (PI.f64) (-.f64 l (/.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 2000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 (PI.f64) (-.f64 l (/.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 2000000000 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 2000000000 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 -290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) #s(approx (- (* (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 -290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) #s(approx (- (* (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))

soundness716.0ms (3.9%)

Memory

5.3MiB live, 649.5MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
14 622×	`lower-fma.f64`
14 622×	`lower-fma.f32`
12 230×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	203	6030
1	584	5682
2	2258	5175
0	8062	5056
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	312	8212
1	944	7796
2	3457	7153
0	8129	6982

Stop Event

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

Compiler

Compiled 322 to 147 computations (54.3% saved)

preprocess164.0ms (0.9%)

Memory: -1.6MiB live, 192.8MiB allocated
Remove: (abs F)
Compiler: Compiled 562 to 218 computations (61.2% 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

start0.0ms (0%)

analyze211.0ms (1.2%)

sample4.8s (26.6%)

explain488.0ms (2.7%)

preprocess80.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (0.2%)

localize284.0ms (1.6%)

series13.0ms (0.1%)

simplify572.0ms (3.1%)

rewrite535.0ms (2.9%)

eval93.0ms (0.5%)

prune110.0ms (0.6%)

simplify84.0ms (0.5%)

localize1.1s (6.1%)

series166.0ms (0.9%)

simplify857.0ms (4.7%)

rewrite435.0ms (2.4%)

eval254.0ms (1.4%)

prune327.0ms (1.8%)

simplify366.0ms (2%)

localize1.2s (6.8%)

series281.0ms (1.5%)

simplify448.0ms (2.5%)

rewrite285.0ms (1.6%)

eval307.0ms (1.7%)

prune252.0ms (1.4%)

simplify281.0ms (1.5%)

localize1.1s (6.1%)

series30.0ms (0.2%)

simplify568.0ms (3.1%)

rewrite399.0ms (2.2%)

eval494.0ms (2.7%)

prune544.0ms (3%)

regimes155.0ms (0.8%)

regimes22.0ms (0.1%)

regimes15.0ms (0.1%)

regimes6.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness716.0ms (3.9%)

preprocess164.0ms (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