Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze221.0ms (1.2%)

Memory

-11.0MiB live, 262.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
21.9%	21.9%	78%	0.1%	0%	0%	0%	7
23.4%	23.4%	76.5%	0.1%	0%	0%	0%	8
35.2%	35.1%	64.8%	0.1%	0%	0%	0%	9
36.3%	36.3%	63.6%	0.1%	0%	0%	0%	10
42.4%	42.3%	57.6%	0.1%	0%	0%	0%	11
43.1%	43%	56.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample4.7s (24.9%)

Memory

125.1MiB live, 4 447.0MiB allocated

Samples

3.6s	3 723×	1	valid
477.0ms	4 455×	0	valid
204.0ms	78×	2	valid
1.0ms	3×	4	exit

Precisions

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

ival-tan: 3.0s (75.6% of total)

ival-mult: 423.0ms (10.6% of total)

ival-div: 323.0ms (8.1% of total)

adjust: 77.0ms (1.9% of total)

ival-sub: 72.0ms (1.8% of total)

ival-pi: 67.0ms (1.7% of total)

ival-true: 7.0ms (0.2% of total)

exact: 6.0ms (0.1% of total)

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

Bogosity

explain463.0ms (2.5%)

Memory

19.4MiB live, 877.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
118	-	1	(-4.203076982856957e+187 -6.108091086389557)	`(tan.f64 (*.f64 (PI.f64) l))`
44	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
2	-	0	-	`(/.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	117	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	17	0

Confusion

	Predicted +	Predicted -
+	64	0
-	70	122

Precision

0.47761194029850745

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	64	0	0
-	70	0	122

Precision?

0.47761194029850745

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

151.0ms	158×	1	valid
96.0ms	48×	2	valid
59.0ms	18×	3	valid
25.0ms	288×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-tan: 263.0ms (85.5% of total)

ival-mult: 16.0ms (5.2% of total)

ival-pi: 11.0ms (3.6% of total)

ival-sub: 6.0ms (2% of total)

adjust: 5.0ms (1.6% of total)

ival-div: 5.0ms (1.6% of total)

ival-true: 1.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

preprocess71.0ms (0.4%)

Memory

19.8MiB live, 101.4MiB allocated

Algorithm

1×	egg-herbie

Rules

301×	`times-frac`
168×	`lower-fma.f64`
168×	`lower-fma.f32`
128×	`lower-*.f32`
125×	`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 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.8%	(-.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)

simplify27.0ms (0.1%)

Memory

-10.0MiB live, 28.9MiB 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

168×	`lower-fma.f64`
168×	`lower-fma.f32`
128×	`lower-*.f32`
125×	`lower-*.f64`
68×	`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 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.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))
(tan.f64 (*.f64 l (PI.f64)))

localize216.0ms (1.1%)

Memory

-30.5MiB live, 263.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.25390625	(*.f64 (PI.f64) l)
accuracy	0.25973178005873104	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	10.673377340362938	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	27.63964814551247	(tan.f64 (*.f64 (PI.f64) l))

Samples

116.0ms	79×	1	valid
43.0ms	24×	2	valid
29.0ms	9×	3	valid
11.0ms	144×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-tan: 169.0ms (91.2% of total)

ival-mult: 7.0ms (3.8% of total)

adjust: 2.0ms (1.1% of total)

ival-div: 2.0ms (1.1% 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

27.4MiB live, 27.4MiB 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))))

simplify262.0ms (1.4%)

Memory

-8.2MiB live, 304.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 689×	`lower-fma.f64`
8 689×	`lower-fma.f32`
3 427×	`lower-*.f64`
3 427×	`lower-*.f32`
1 399×	`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))))
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(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* 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)))
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(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* l (PI))
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(* l (PI))
(* l (PI))
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(* 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))))
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(/ 1 (pow F 2))
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(/ 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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(fma.f64 (PI.f64) l (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (PI.f64)) (.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (PI.f64)) (PI.f64)) l)
(* 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 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) l) l (.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) l) l (PI.f64)) l)
(* 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 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))) (PI.f64))) (PI.f64) (fma.f64 (.f64 #s(literal -1/72 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (.f64 l l) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal -1/30 binary64) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))))) (.f64 l l) (.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (.f64 l l) (PI.f64)) l)
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/ 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))

rewrite218.0ms (1.2%)

Memory

-33.9MiB live, 251.6MiB allocated

Rules

2 343×	`lower-fma.f64`
2 343×	`lower-fma.f32`
1 989×	`lower-*.f32`
1 986×	`lower-*.f64`
1 088×	`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
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))))
(.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 F)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 l (PI.f64)))) F))
(.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64))))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (cos.f64 (.f64 l (PI.f64)))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64))))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (.f64 l (PI.f64))) F))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) #s(literal 1 binary64))
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))
(pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) #s(literal -1 binary64)) (.f64 F F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) F) (neg.f64 F))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (.f64 F F))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F)) (neg.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) F)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (neg.f64 (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 (neg.f64 F) (neg.f64 (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 F (neg.f64 (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) (neg.f64 F))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 (.f64 (neg.f64 F) F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal -1 binary64) F)) (.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) F)) (.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) F))
(/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 F))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 (.f64 F F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (.f64 l (PI.f64)))) (.f64 (neg.f64 F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) #s(literal -1 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F)))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) F)) (.f64 (cos.f64 (.f64 l (PI.f64))) (neg.f64 F)))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) #s(literal 1 binary64)) (.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F F)) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (.f64 (neg.f64 F) F))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(/.f64 (/.f64 #s(literal -1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (.f64 F F) (neg.f64 (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64)))) F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F)))
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 F) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) #s(literal 1 binary64))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (/.f64 (sin.f64 (*.f64 l (PI.f64))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (sin.f64 (.f64 l (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)) (sin.f64 (.f64 l (PI.f64)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64)))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))
(neg.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 l l) (PI.f64)) (PI.f64)) (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) #s(literal 2 binary64))) (fma.f64 (.f64 (.f64 (.f64 l l) l) (.f64 (PI.f64) (PI.f64))) (PI.f64) (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) (-.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) (.f64 l (PI.f64))) (.f64 (.f64 (.f64 l l) (PI.f64)) (PI.f64))))
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(.f64 (pow.f64 (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/3 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 (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 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))))
(.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(.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 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 l (PI.f64)))) #s(literal 1 binary64)))
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 l (PI.f64)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (tan.f64 (.f64 l (PI.f64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (neg.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (.f64 l (PI.f64))))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))
(tan.f64 (*.f64 l (PI.f64)))
(*.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))
(.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(pow.f64 (.f64 (.f64 (*.f64 F F) F) F) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 F #s(literal -2 binary64))
(/.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))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 F) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 F) #s(literal 2 binary64)) #s(literal -1 binary64)))

eval69.0ms (0.4%)

Memory: 1.7MiB live, 87.1MiB allocated
Compiler: Compiled 12 853 to 1 244 computations (90.3% saved)

prune97.0ms (0.5%)

Memory

2.6MiB live, 156.2MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	460	16	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	461	16	477

Accuracy

98.8%

Counts

477 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.9%	(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
	76.9%	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
▶	77.0%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	36.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 l l) (PI.f64)) (PI.f64)) (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) #s(literal 2 binary64))) (fma.f64 l (PI.f64) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F))))
▶	76.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
	76.5%	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.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))))
	82.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
	82.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) F)))
	82.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
	76.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	67.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
	75.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	67.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
▶	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
	67.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
▶	70.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

Compiler

Compiled 560 to 342 computations (38.9% saved)

simplify156.0ms (0.8%)

Memory

1.5MiB live, 39.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(sin.f64 (*.f64 (PI.f64) l))
cost-diff	0	(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l))))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	(-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
cost-diff	0	(tan.f64 (*.f64 l (PI.f64)))
cost-diff	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	(tan.f64 (*.f64 l (PI.f64)))
cost-diff	0	(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))

Rules

416×	`lower-fma.f32`
414×	`lower-fma.f64`
376×	`lower-*.f32`
371×	`lower-*.f64`
231×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	55	228
1	101	224
2	181	220
3	356	220
4	500	220
5	626	220
6	825	220
7	1185	220
8	1818	220
9	2410	220
10	2641	220
11	2647	220
12	2661	220
13	2673	220
14	2673	220
15	2673	220
0	2673	220

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize833.0ms (4.4%)

Memory

2.8MiB live, 820.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	10.0226381359905	(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l))))
accuracy	25.53251263689827	(cos.f64 (*.f64 (PI.f64) l))
accuracy	27.616069826978073	(sin.f64 (*.f64 (PI.f64) l))
accuracy	44.166408083851714	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
accuracy	0.24735128162065376	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F))))
accuracy	0.25390625	(*.f64 l (PI.f64))
accuracy	10.0265443859905	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
accuracy	27.639648145512467	(tan.f64 (*.f64 l (PI.f64)))
accuracy	0.171875	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
accuracy	0.25390625	(*.f64 l (PI.f64))
accuracy	10.0265443859905	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))
accuracy	27.639648145512467	(tan.f64 (*.f64 l (PI.f64)))
accuracy	0	(PI.f64)
accuracy	0.25390625	(*.f64 (PI.f64) l)
accuracy	18.741935573410956	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy	0.0703125	(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
accuracy	0.07650375976844202	(fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
accuracy	0.25390625	(*.f64 l (PI.f64))
accuracy	27.639648145512467	(tan.f64 (*.f64 l (PI.f64)))

Samples

336.0ms	78×	1	valid
249.0ms	24×	2	valid
167.0ms	9×	3	valid
31.0ms	145×	0	valid

Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 643.0ms

ival-tan: 407.0ms (63.3% of total)

ival-sin: 116.0ms (18% of total)

adjust: 44.0ms (6.8% of total)

ival-div: 26.0ms (4% of total)

ival-cos: 21.0ms (3.3% of total)

ival-mult: 17.0ms (2.6% of total)

ival-sub: 3.0ms (0.5% of total)

ival-add: 3.0ms (0.5% of total)

ival-pi: 2.0ms (0.3% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.2%)

Memory

-7.5MiB live, 49.3MiB allocated

Counts

17 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
12.0ms	l	@	-inf	(/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l))))
3.0ms	l	@	0	(/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F))))
2.0ms	l	@	-inf	(+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI)))
1.0ms	l	@	0	(/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l))))
1.0ms	l	@	inf	(/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F))))

simplify233.0ms (1.2%)

Memory

16.3MiB live, 317.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 078×	`lower-fma.f64`
4 078×	`lower-fma.f32`
3 630×	`lower-*.f64`
3 630×	`lower-*.f32`
1 083×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	7472
1	1444	7197
2	5510	6728
0	8183	6570

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite267.0ms (1.4%)

Memory

-15.2MiB live, 474.4MiB allocated

Rules

3 973×	`lower-fma.f32`
3 971×	`lower-fma.f64`
2 259×	`lower-/.f32`
2 252×	`lower-/.f64`
2 131×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	170
0	55	160
1	230	151
2	1416	151
0	8318	151

Stop Event

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

Counts

17 → 1 013

Calls

Call 1

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

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

eval314.0ms (1.7%)

Memory: 13.4MiB live, 531.1MiB allocated
Compiler: Compiled 45 916 to 3 042 computations (93.4% saved)

prune413.0ms (2.2%)

Memory

7.9MiB live, 327.8MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 806	23	1 829
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	1 816	29	1 845

Accuracy

98.9%

Counts

1 845 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.8%	(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
▶	76.9%	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	76.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 (neg.f64 F) F)))
	67.9%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
▶	73.8%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
	36.3%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) l) (PI.f64)) l) (pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
✓	76.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
	62.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64))))))
	67.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* l (PI)) (/ (tan (* l (PI))) (* F F))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))))
	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* l (PI)) (/ (tan (* l (PI))) (* F F))) (*.f64 (PI.f64) l))))
▶	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))
	76.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	67.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
	67.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64))))
	67.6%	#s(approx (/ 1 (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F))))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
	30.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 F)))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.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))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)))))
	30.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F)))
▶	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (neg.f64 F))) (/.f64 #s(literal 1 binary64) F)))
	70.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓	70.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
▶	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))))

Compiler

Compiled 1 004 to 625 computations (37.7% saved)

simplify270.0ms (1.4%)

Memory

-2.3MiB live, 114.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 F) F)
cost-diff	0	(.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))
cost-diff	0	#s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.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	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
cost-diff	576	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F))
cost-diff	0	(/.f64 (PI.f64) F)
cost-diff	0	(*.f64 (/.f64 (PI.f64) F) l)
cost-diff	0	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
cost-diff	192	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
cost-diff	0	(neg.f64 l)
cost-diff	0	(.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))
cost-diff	0	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F))))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) l)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	3840	(fma.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))

Rules

2 047×	`lower-*.f32`
2 037×	`lower-*.f64`
1 979×	`lower-fma.f32`
1 977×	`lower-fma.f64`
678×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	353
0	92	352
1	160	344
2	289	337
3	585	337
4	1168	336
5	2747	336
6	3909	336
7	5413	336
8	7602	336
0	8015	336

Stop Event

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

Calls

Call 1

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

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

localize2.3s (12.2%)

Memory

28.9MiB live, 2 842.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.218844887561702	(sin.f64 (*.f64 (PI.f64) l))
accuracy	3.8875531142997612	(.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))
accuracy	18.32791854514677	#s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))))
accuracy	26.397794819448727	(PI.f64)
accuracy	0.171875	(*.f64 (PI.f64) l)
accuracy	1.2418728594829795	(tan.f64 (*.f64 (PI.f64) l))
accuracy	17.519401602081203	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
accuracy	26.397794819448727	(PI.f64)
accuracy	0.1484375	(/.f64 (PI.f64) F)
accuracy	0.171875	(*.f64 l (PI.f64))
accuracy	2.8355169835229255	#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
accuracy	26.397794819448727	(PI.f64)
accuracy	2.1982703967097934	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F))))
accuracy	4.0015394931509585	(.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))
accuracy	17.519401602081203	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
accuracy	26.397794819448727	(PI.f64)
accuracy	0.57421875	(sqrt.f64 (PI.f64))
accuracy	1.2418728594829795	(tan.f64 (*.f64 l (PI.f64)))
accuracy	3.8742350367201484	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))
accuracy	26.397794819448727	(PI.f64)

Samples

1.8s	88×	5	exit
362.0ms	21×	4	exit
50.0ms	144×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 271 to 45 computations (83.4% saved)

Precisions

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

ival-tan: 1.1s (50.9% of total)

ival-sin: 772.0ms (36.9% of total)

ival-div: 85.0ms (4.1% of total)

ival-mult: 81.0ms (3.9% of total)

adjust: 30.0ms (1.4% of total)

ival-cos: 29.0ms (1.4% of total)

ival-sqrt: 14.0ms (0.7% of total)

ival-sub: 6.0ms (0.3% of total)

ival-add: 6.0ms (0.3% of total)

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

ival-neg: 2.0ms (0.1% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (0.6%)

Memory

-14.5MiB live, 138.1MiB allocated

Counts

26 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
50.0ms	l	@	0	(* (* (sqrt (PI)) l) (sqrt (sqrt (PI))))
3.0ms	l	@	0	(+ (* (* (* (sqrt (PI)) l) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI)))) (/ (tan (* l (PI))) (* (neg F) F)))
3.0ms	F	@	0	(/ (PI) F)
2.0ms	l	@	inf	(* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l))))
1.0ms	l	@	0	(* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l))))

simplify240.0ms (1.3%)

Memory

33.3MiB live, 305.4MiB allocated

Algorithm

1×	egg-herbie

Rules

4 048×	`lower-fma.f64`
4 048×	`lower-fma.f32`
3 992×	`lower-*.f64`
3 992×	`lower-*.f32`
1 025×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	8555
1	1501	8280
2	5902	7821
0	8400	7648

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

rewrite508.0ms (2.7%)

Memory

-100.3MiB live, 306.7MiB allocated

Rules

2 197×	`lower-/.f32`
2 190×	`lower-/.f64`
2 165×	`lower-fma.f32`
2 163×	`lower-fma.f64`
2 024×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	292
0	92	278
1	313	252
2	1756	249
0	8242	248

Stop Event

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

Counts

26 → 724

Calls

Call 1

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

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

eval228.0ms (1.2%)

Memory: 39.6MiB live, 424.2MiB allocated
Compiler: Compiled 38 811 to 3 382 computations (91.3% saved)

prune239.0ms (1.3%)

Memory

16.4MiB live, 522.9MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 688	15	1 703
Fresh	9	13	22
Picked	2	3	5
Done	1	1	2
Total	1 700	32	1 732

Accuracy

98.9%

Counts

1 732 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	73.7%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
	76.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 (neg.f64 F) F)))
	67.9%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	73.6%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
	73.7%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) F) l))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
	62.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64))))))
	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* l (PI)) (/ (tan (* l (PI))) (* F F))) (*.f64 (PI.f64) l))))
	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)))))
	3.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 F F))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 F F) (.f64 F F) (.f64 #s(literal 0 binary64) (.f64 F F))))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))
	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) (sin.f64 (*.f64 (PI.f64) l))))))
✓	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))
▶	22.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l))))
	76.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	67.6%	#s(approx (/ 1 (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F))))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.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))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)))))
✓	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
▶	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)))
	28.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
	70.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓	70.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
▶	28.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)))
▶	22.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))))
	28.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (.f64 (neg.f64 l) (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))))
✓	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (neg.f64 l)))))

Compiler

Compiled 1 124 to 692 computations (38.4% saved)

simplify148.0ms (0.8%)

Memory

-38.3MiB live, 217.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 (*.f64 l (PI.f64)))
cost-diff	0	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)))
cost-diff	576	(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l))))
cost-diff	128	(neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64))))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))
cost-diff	704	(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l)
cost-diff	0	(/.f64 (*.f64 (neg.f64 l) (PI.f64)) F)
cost-diff	0	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)))
cost-diff	384	(/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)
cost-diff	0	(*.f64 (neg.f64 l) (PI.f64))
cost-diff	0	(/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))
cost-diff	0	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))))
cost-diff	0	(*.f64 (sqrt.f64 (PI.f64)) (PI.f64))
cost-diff	0	(sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l)
cost-diff	0	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))

Rules

2 853×	`lower-fma.f32`
2 851×	`lower-fma.f64`
2 362×	`lower-*.f32`
2 351×	`lower-*.f64`
1 037×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	531
0	102	531
1	194	525
2	408	523
3	1092	512
4	2965	504
5	5772	504
6	7776	504
0	8501	498

Stop Event

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

Calls

Call 1

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

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

localize3.8s (20%)

Memory

-0.5MiB live, 3 075.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.111763345842263	(cos.f64 (*.f64 l (PI.f64)))
accuracy	1.218844887561702	(sin.f64 (*.f64 l (PI.f64)))
accuracy	17.519401602081203	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)))
accuracy	26.397794819448727	(PI.f64)
accuracy	3.5540424448777586	(.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l)
accuracy	4.09875286915045	(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l)
accuracy	18.32791854514677	#s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l)))
accuracy	26.397794819448727	(PI.f64)
accuracy	0.171875	(*.f64 (neg.f64 l) (PI.f64))
accuracy	2.1982703967097934	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F))
accuracy	17.519401602081203	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)))
accuracy	26.397794819448727	(PI.f64)
accuracy	2.1982703967097934	#s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)))
accuracy	3.8742350367201484	(/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))
accuracy	17.519401602081203	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))))
accuracy	26.397794819448727	(PI.f64)
accuracy	0.57421875	(sqrt.f64 (PI.f64))
accuracy	1.2418728594829795	(tan.f64 (*.f64 l (PI.f64)))
accuracy	3.8742350367201484	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))
accuracy	26.397794819448727	(PI.f64)

Samples

2.9s	87×	5	exit
548.0ms	22×	4	exit
133.0ms	145×	0	valid
2.0ms	2×	1	valid

Compiler

Compiled 365 to 55 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-sin: 1.7s (47.7% of total)

ival-tan: 1.5s (42% of total)

ival-cos: 110.0ms (3.2% of total)

ival-mult: 64.0ms (1.8% of total)

ival-div: 57.0ms (1.6% of total)

ival-sqrt: 52.0ms (1.5% of total)

adjust: 39.0ms (1.1% of total)

const: 11.0ms (0.3% of total)

ival-sub: 6.0ms (0.2% of total)

ival-add: 6.0ms (0.2% of total)

ival-neg: 5.0ms (0.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.2%)

Memory

30.1MiB live, 66.7MiB allocated

Counts

27 → 492

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))) (patch (fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (patch (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (patch (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (patch (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))) (patch #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)) (patch (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 l) (PI.f64)) (patch (.f64 (neg.f64 l) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) F) (patch (/.f64 (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) F) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) F))) (patch #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F))) #<representation binary64>) () ())
#s(alt #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) F)) (patch #s(approx (/ (sin ( (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) (patch (/.f64 (.f64 (neg.f64 l) (PI.f64)) F) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) l) (patch (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) l) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64))) (patch (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) (patch (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) l)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- ( l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)) (patch (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (patch (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) #<representation binary64>) () ())
#s(alt (sin.f64 (.f64 l (PI.f64))) (patch (sin.f64 (.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (tan.f64 (.f64 l (PI.f64))) (patch (tan.f64 (.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (.f64 F F) (PI.f64)))) l))) (patch #s(approx (/ 1 (- ( l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) l (/.f64 (*.f64 F F) (PI.f64)))) l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) (patch (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (.f64 F F) (PI.f64))) l) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 l (PI.f64))) (patch (cos.f64 (.f64 l (PI.f64))) #<representation binary64>) () ())

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

Calls

123 calls:

Time	Variable		Point	Expression
2.0ms	F	@	0	(/ (neg (+ (* (* (* -1/3 (* (* F F) (PI))) l) l) (/ (* F F) (PI)))) l)
1.0ms	F	@	inf	(/ (neg (+ (* (* (* -1/3 (* (* F F) (PI))) l) l) (/ (* F F) (PI)))) l)
1.0ms	l	@	0	(/ (neg (+ (* (* (* -1/3 (* (* F F) (PI))) l) l) (/ (* F F) (PI)))) l)
1.0ms	l	@	inf	(/ (neg (+ (* (* (* -1/3 (* (* F F) (PI))) l) l) (/ (* F F) (PI)))) l)
1.0ms	l	@	0	(/ (sin (* l (PI))) (* (cos (* l (PI))) F))

simplify226.0ms (1.2%)

Memory

-11.2MiB live, 303.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 026×	`lower-fma.f64`
4 026×	`lower-fma.f32`
3 972×	`lower-*.f64`
3 972×	`lower-*.f32`
976×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	9456
1	1522	9185
2	5955	8725
0	8354	8523

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

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

rewrite212.0ms (1.1%)

Memory

-14.7MiB live, 425.6MiB allocated

Rules

2 221×	`lower-*.f32`
2 210×	`lower-*.f64`
2 044×	`lower-/.f32`
2 035×	`lower-/.f64`
1 889×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	425
0	102	395
1	362	368
2	2106	359
0	8933	359

Stop Event

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

Counts

27 → 787

Calls

Call 1

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

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

eval255.0ms (1.4%)

Memory: 37.7MiB live, 409.3MiB allocated
Compiler: Compiled 42 232 to 4 053 computations (90.4% saved)

prune252.0ms (1.3%)

Memory

13.5MiB live, 456.9MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	1 714	7	1 721
Fresh	4	19	23
Picked	1	4	5
Done	0	4	4
Total	1 719	34	1 753

Accuracy

98.9%

Counts

1 753 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.0%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (neg.f64 F) F)))
	67.8%	(fma.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(approx (tan (* l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	76.9%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 (neg.f64 F) F)))
	67.9%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	73.7%	(fma.f64 #s(approx (/ (tan (* l (PI))) F) (.f64 (PI.f64) (.f64 (/.f64 #s(literal 1 binary64) F) l))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
	62.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l (PI.f64)) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64))))))
	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (* l (PI)) (/ (tan (* l (PI))) (* F F))) (*.f64 (PI.f64) l))))
	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)))))
	3.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 F F))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 F F) (.f64 F F) (.f64 #s(literal 0 binary64) (.f64 F F))))) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))
	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) (sin.f64 (*.f64 (PI.f64) l))))))
✓	24.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) (.f64 (.f64 (neg.f64 F) F) (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))
	22.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 F F) (PI.f64)) (.f64 #s(literal -1/3 binary64) (.f64 l l)) (/.f64 (*.f64 F F) (PI.f64)))) l))))
	3.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F)))) #s(approx (* (* (neg F) F) (/ (cos (* (PI) l)) (sin (* (PI) l)))) #s(approx (/ (neg (+ (* (* (* -1/3 (* (* F F) (PI))) l) l) (/ (* F F) (PI)))) l) (.f64 (.f64 (.f64 (.f64 F F) (PI.f64)) #s(literal 1/3 binary64)) l)))))
	76.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	67.6%	#s(approx (/ 1 (/ 1 (- (* l (PI)) (/ (tan (* l (PI))) (* F F))))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F)))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (PI.f64) l)))))
	24.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.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))) l)))))
	24.3%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))))
	24.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 (neg.f64 F) F) (cos.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)))))
✓	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) F)) (/.f64 #s(literal -1 binary64) F)))
✓	30.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) (/.f64 #s(literal -1 binary64) F)))
	28.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F)))
	70.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓	70.4%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
✓	28.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (/.f64 (*.f64 (neg.f64 l) (PI.f64)) F) F)))
	22.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (.f64 (neg.f64 l) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 F F))))
✓	22.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F))))
	28.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (.f64 l (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))))
✓	22.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (neg.f64 l) (/.f64 (PI.f64) (.f64 F F)))))
	22.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F)))))

Compiler

Compiled 1 621 to 602 computations (62.9% saved)

regimes117.0ms (0.6%)

Memory

4.8MiB live, 155.1MiB allocated

Counts

62 → 2

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	(*.f64 F F)
21.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
20.0ms	(*.f64 (PI.f64) l)
19.0ms	F
17.0ms	l

Results

Accuracy	Segments	Branch
82.9%	1	`F`
98.5%	2	`l`
91.0%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
98.5%	2	`(*.f64 (PI.f64) l)`
82.9%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
82.9%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes25.0ms (0.1%)

Memory

4.9MiB live, 42.2MiB allocated

Counts

36 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	(*.f64 (PI.f64) l)
10.0ms	l

Results

Accuracy	Segments	Branch
98.5%	2	`l`
98.5%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes22.0ms (0.1%)

Memory

4.9MiB live, 42.6MiB allocated

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`l`
97.9%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Memory

-41.3MiB live, 27.2MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

31.0ms	l
6.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
97.8%	2	`l`
97.8%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	l
5.0ms	(*.f64 (PI.f64) 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

-19.4MiB live, 19.0MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	(*.f64 (PI.f64) l)
4.0ms	l

Results

Accuracy	Segments	Branch
91.9%	2	`l`
91.9%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 (PI.f64) l)
4.0ms	l

Results

Accuracy	Segments	Branch
91.7%	2	`l`
91.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-10.3MiB live, 26.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
72.0%	2	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
73.1%	2	`F`
72.0%	2	`(*.f64 F F)`
83.5%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
70.4%	1	`l`
70.4%	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
83.5%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0%)

Memory

18.6MiB live, 18.6MiB 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 (PI.f64) l))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
70.4%	1	`l`
70.4%	1	`(*.f64 (PI.f64) l)`
70.4%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
70.4%	1	`(*.f64 F F)`
70.4%	1	`F`
70.4%	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

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch2.0ms (0%)

Memory

-37.1MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
2.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	726549314800958.8	9150214691098390.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.650135469614842e-292	1.548423510406565e-301

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.650135469614842e-292	1.548423510406565e-301

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify11.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
22×	`sub-neg_binary64`
21×	`+-commutative_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	455
1	109	455
2	155	455
3	194	455
4	220	455
5	228	455
6	229	455

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( l (PI))) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 #s(approx (/ (tan ( l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (tan ( l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.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 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #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 -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (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 -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (PI.f64) (/.f64 (neg.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 (PI.f64) l))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (tan.f64 (.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 1000000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( l (PI))) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( l (PI))) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 #s(approx (/ (tan ( l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (fma.f64 #s(approx (/ (tan ( l (PI))) F) (.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (tan ( l (PI))) (.f64 (PI.f64) l)) (.f64 (neg.f64 F) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (tan ( l (PI))) (.f64 l (PI.f64))) (.f64 (neg.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 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) (-.f64 (.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 (/.f64 l (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 l (PI.f64)) #s(literal 1000000000000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)) #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 -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.f64 l) (PI.f64)) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 l (PI.f64)) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 F F)))) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (/.f64 (.f64 (neg.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 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (PI.f64) (/.f64 (neg.f64 l) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 l (PI.f64)) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (.f64 F F)))) #s(literal -5617791046444737/11235582092889474423308157442431404585112356118389416079589380072358292237843810195794279832650471001320007117491962084853674360550901038905802964414967132773610493339054092829768888725077880882465817684505312860552384417646403930092119569408801702322709406917786643639996702871154982269052209770601514008576 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (sin (* (PI) l)) (* (* (neg F) F) (cos (* (PI) l)))) (.f64 (/.f64 l (.f64 (neg.f64 F) F)) (PI.f64)))) #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))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

soundness1.0s (5.4%)

Memory

12.9MiB live, 719.3MiB allocated

Rules

8 689×	`lower-fma.f64`
8 689×	`lower-fma.f32`
4 078×	`lower-fma.f64`
4 078×	`lower-fma.f32`
3 630×	`lower-*.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	56	292
0	92	278
1	313	252
2	1756	249
0	8242	248
0	451	7472
1	1444	7197
2	5510	6728
0	8183	6570
0	64	425
0	102	395
1	362	368
2	2106	359
0	8933	359
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31

Stop Event

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

Compiler

Compiled 526 to 239 computations (54.6% saved)

preprocess121.0ms (0.6%)

Memory: 4.5MiB live, 193.6MiB allocated
Remove: (abs F)
Compiler: Compiled 778 to 262 computations (66.3% 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%)

analyze221.0ms (1.2%)

sample4.7s (24.9%)

explain463.0ms (2.5%)

preprocess71.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify27.0ms (0.1%)

localize216.0ms (1.1%)

series13.0ms (0.1%)

simplify262.0ms (1.4%)

rewrite218.0ms (1.2%)

eval69.0ms (0.4%)

prune97.0ms (0.5%)

simplify156.0ms (0.8%)

localize833.0ms (4.4%)

series43.0ms (0.2%)

simplify233.0ms (1.2%)

rewrite267.0ms (1.4%)

eval314.0ms (1.7%)

prune413.0ms (2.2%)

simplify270.0ms (1.4%)

localize2.3s (12.2%)

series106.0ms (0.6%)

simplify240.0ms (1.3%)

rewrite508.0ms (2.7%)

eval228.0ms (1.2%)

prune239.0ms (1.3%)

simplify148.0ms (0.8%)

localize3.8s (20%)

series42.0ms (0.2%)

simplify226.0ms (1.2%)

rewrite212.0ms (1.1%)

eval255.0ms (1.4%)

prune252.0ms (1.3%)

regimes117.0ms (0.6%)

regimes25.0ms (0.1%)

regimes22.0ms (0.1%)

regimes38.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0%)

regimes15.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.0s (5.4%)

preprocess121.0ms (0.6%)

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