Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze205.0ms (1.3%)

Memory

-7.4MiB live, 268.0MiB 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)

sample4.6s (28.4%)

Memory

124.2MiB live, 4 459.3MiB allocated

Samples

3.7s	3 770×	1	valid
370.0ms	4 428×	0	valid
158.0ms	58×	2	valid
2.0ms	6×	4	exit

Precisions

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

ival-tan: 3.3s (83.7% of total)

ival-mult: 259.0ms (6.5% of total)

ival-div: 158.0ms (4% of total)

ival-sub: 79.0ms (2% of total)

adjust: 76.0ms (1.9% of total)

ival-pi: 63.0ms (1.6% of total)

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

exact: 6.0ms (0.2% of total)

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

Bogosity

explain467.0ms (2.9%)

Memory

6.5MiB live, 677.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
39	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
4	-	-	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
0	-	-	`(*.f64 (PI.f64) l)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0	-	-	`(*.f64 F F)`
0	-	-	`l`
0	-	-	`F`
0	-	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (*.f64 (PI.f64) l))`	sensitivity	127	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	54	0
-	86	116

Precision

0.38571428571428573

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	0
-	86	0	116

Precision?

0.38571428571428573

Recall?

1.0

Freqs

test

number	freq
0	116
1	140

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

151.0ms	174×	1	valid
103.0ms	62×	2	valid
70.0ms	14×	3	valid
29.0ms	262×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 329.0ms

ival-tan: 271.0ms (82.3% of total)

ival-mult: 25.0ms (7.6% of total)

ival-div: 14.0ms (4.2% of total)

ival-pi: 10.0ms (3% of total)

adjust: 5.0ms (1.5% of total)

ival-sub: 4.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess88.0ms (0.5%)

Memory

5.6MiB live, 85.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.8%	(-.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)

simplify35.0ms (0.2%)

Memory

-2.0MiB live, 31.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize206.0ms (1.3%)

Memory

30.1MiB live, 303.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	0.7400835558956667	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	9.47966794224316	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	30.43351642895933	(tan.f64 (*.f64 (PI.f64) l))

Samples

80.0ms	87×	1	valid
59.0ms	31×	2	valid
28.0ms	131×	0	valid
27.0ms	7×	3	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-tan: 145.0ms (88.5% of total)

ival-mult: 9.0ms (5.5% of total)

ival-div: 3.0ms (1.8% of total)

adjust: 3.0ms (1.8% of total)

ival-pi: 2.0ms (1.2% of total)

ival-sub: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory

-4.1MiB live, 32.6MiB 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
8.0ms	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))))

simplify374.0ms (2.3%)

Memory

4.9MiB live, 504.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite269.0ms (1.6%)

Memory

-6.2MiB live, 345.9MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 308

Calls

Call 1

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

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

eval176.0ms (1.1%)

Memory: -25.6MiB live, 131.6MiB allocated
Compiler: Compiled 12 853 to 1 239 computations (90.4% saved)

prune78.0ms (0.5%)

Memory

2.3MiB live, 155.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	463	13	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	13	477

Accuracy

99.9%

Counts

477 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	79.9%	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	70.3%	(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
	42.2%	(fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
	80.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	79.4%	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	84.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	84.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
▶	79.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	72.7%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
▶	42.2%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
	72.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	76.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 580 to 300 computations (48.3% saved)

simplify438.0ms (2.7%)

Memory

22.9MiB live, 270.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
cost-diff	16256	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
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 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
cost-diff	384	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
cost-diff	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))

Rules

5 694×	`lower-fma.f32`
5 690×	`lower-fma.f64`
4 128×	`lower-*.f32`
4 108×	`lower-*.f64`
1 724×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	312
0	71	294
1	120	288
2	235	285
3	623	285
4	1793	285
5	3777	285
6	5690	285
0	8297	285

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
F
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(PI.f64)
l
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))
(.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l)))
(.f64 (PI.f64) (.f64 (PI.f64) l))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
F
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(/.f64 (tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(tan.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
#s(literal 1 binary64)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(PI.f64)
l
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))
(.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l)))
(.f64 (PI.f64) (.f64 (PI.f64) l))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize569.0ms (3.5%)

Memory

-8.7MiB live, 630.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3125	(.f64 (PI.f64) (.f64 (PI.f64) l))
accuracy	9.090581951332737	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
accuracy	30.433516428959305	(tan.f64 (*.f64 (PI.f64) l))
accuracy	31.22261427160646	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
accuracy	1.0	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	9.47966794224316	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
accuracy	30.43351642895933	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
accuracy	0.05078125	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
accuracy	0.0859375	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	30.433516428959305	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0	(PI.f64)
accuracy	0.2578125	(*.f64 l (PI.f64))
accuracy	14.767329197450954	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
accuracy	0.04296875	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
accuracy	0.0859375	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	30.433516428959305	(tan.f64 (*.f64 (PI.f64) l))

Samples

193.0ms	86×	1	valid
136.0ms	32×	2	valid
64.0ms	7×	3	valid
39.0ms	131×	0	valid

Compiler

Compiled 314 to 38 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 396.0ms

ival-tan: 309.0ms (78% of total)

ival-mult: 34.0ms (8.6% of total)

ival-div: 18.0ms (4.5% of total)

ival-sqrt: 9.0ms (2.3% of total)

adjust: 8.0ms (2% of total)

ival-sub: 7.0ms (1.8% of total)

ival-pow2: 4.0ms (1% of total)

ival-add: 3.0ms (0.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.4%)

Memory

-3.8MiB live, 67.5MiB allocated

Counts

19 → 324

Calls

Call 1

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

Calls

81 calls:

Time	Variable		Point	Expression
8.0ms	l	@	0	(* (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))) (- (* l (* (PI) (* (PI) l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)))
5.0ms	l	@	0	(/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
2.0ms	l	@	-inf	(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
1.0ms	F	@	0	(* (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))) (- (* l (* (PI) (* (PI) l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)))
1.0ms	l	@	inf	(* (/ 1 (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F)))) (- (* l (* (PI) (* (PI) l))) (pow (/ (tan (* (PI) l)) (* F F)) 2)))

simplify357.0ms (2.2%)

Memory

8.3MiB live, 475.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 408×	`lower-fma.f64`
8 408×	`lower-fma.f32`
7 352×	`lower-*.f64`
7 352×	`lower-*.f32`
2 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	8434
1	1425	8125
2	5274	7733
0	8227	7523

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

rewrite744.0ms (4.6%)

Memory

36.2MiB live, 553.0MiB allocated

Rules

5 526×	`lower-fma.f32`
5 522×	`lower-fma.f64`
5 156×	`lower-*.f32`
5 138×	`lower-*.f64`
4 508×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	200
0	71	145
1	264	141
2	1832	141
0	9115	141

Stop Event

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

Counts

19 → 1 265

Calls

Call 1

Inputs
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (-.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(sqrt.f64 (PI.f64))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
(.f64 (PI.f64) (.f64 (PI.f64) l))

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

eval783.0ms (4.8%)

Memory: -11.6MiB live, 502.9MiB allocated
Compiler: Compiled 92 518 to 5 475 computations (94.1% saved)

prune306.0ms (1.9%)

Memory

-7.4MiB live, 512.8MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	2 618	8	2 626
Fresh	7	1	8
Picked	3	2	5
Done	0	0	0
Total	2 628	11	2 639

Accuracy

100.0%

Counts

2 639 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.2%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
▶	84.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
	84.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
▶	59.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (PI.f64) F)))) F))
✓	79.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	72.7%	(-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan ( (PI) l)) F) F) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
▶	72.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	76.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
▶	76.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 318 to 192 computations (39.6% saved)

simplify203.0ms (1.2%)

Memory

17.9MiB live, 251.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (PI.f64) F)))) F))
cost-diff	704	(fma.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (PI.f64) F))
cost-diff	0	(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	0	(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
cost-diff	384	(/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F) F)
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) F)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

Rules

6 706×	`lower-fma.f32`
6 704×	`lower-fma.f64`
4 430×	`lower-*.f32`
4 406×	`lower-*.f64`
1 650×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	369
0	84	353
1	140	345
2	276	345
3	586	341
4	1297	341
5	2141	340
6	2764	340
7	3901	340
8	5564	340
0	8093	335

Stop Event

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

Calls

Call 1

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

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

localize1.1s (6.8%)

Memory

6.3MiB live, 1 520.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.515625	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
accuracy	0.515625	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
accuracy	1.1050393804812764	#s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (PI.f64) F))))
accuracy	30.030518877171225	(PI.f64)
accuracy	0.515625	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	0.515625	(sqrt.f64 (PI.f64))
accuracy	14.767329197450954	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
accuracy	30.030518877171225	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.140625	(*.f64 l (PI.f64))
accuracy	1.2246884271730323	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	30.030518877171225	(PI.f64)
accuracy	0.00390625	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy	0.3554265345389563	(/.f64 (PI.f64) (*.f64 F F))
accuracy	3.151578719001992	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
accuracy	30.030518877171225	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.40289588457843295	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0.569273599483713	(/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
accuracy	30.030518877171225	(PI.f64)

Samples

991.0ms	124×	3	exit
51.0ms	132×	0	valid

Compiler

Compiled 278 to 39 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 986.0ms

ival-tan: 858.0ms (87% of total)

ival-mult: 40.0ms (4.1% of total)

ival-div: 35.0ms (3.5% of total)

adjust: 21.0ms (2.1% of total)

ival-sqrt: 11.0ms (1.1% of total)

ival-sub: 10.0ms (1% of total)

const: 6.0ms (0.6% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

10.4MiB live, 47.2MiB allocated

Counts

24 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	F	@	0	(+ (* (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F))
2.0ms	l	@	0	(+ (* (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F))
1.0ms	F	@	inf	(+ (* (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F))
1.0ms	l	@	0	(* l (- (PI) (/ (PI) (* F F))))
1.0ms	F	@	-inf	(+ (* (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F))

simplify379.0ms (2.3%)

Memory

16.0MiB live, 632.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 344×	`lower-fma.f64`
20 344×	`lower-fma.f32`
7 636×	`lower-*.f64`
7 636×	`lower-*.f32`
4 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	6077
1	634	5747
2	1994	5201
0	8078	5063

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

rewrite486.0ms (3%)

Memory

-119.7MiB live, 479.8MiB allocated

Rules

5 734×	`lower-*.f32`
5 712×	`lower-*.f64`
3 772×	`lower-/.f32`
3 754×	`lower-/.f64`
2 618×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	259
0	84	226
1	302	216
2	2269	215
0	8704	215

Stop Event

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

Counts

24 → 588

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) #s(literal 1 binary64)) (.f64 (cos.f64 (.f64 (PI.f64) l)) F))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 (.f64 (PI.f64) l))) (.f64 F (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 F)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 F))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) #s(literal -1 binary64))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))
(.f64 (.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))

eval254.0ms (1.6%)

Memory: 26.2MiB live, 412.2MiB allocated
Compiler: Compiled 39 542 to 5 028 computations (87.3% saved)

prune218.0ms (1.3%)

Memory

-24.3MiB live, 375.2MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 713	8	1 721
Fresh	2	2	4
Picked	2	3	5
Done	1	1	2
Total	1 718	14	1 732

Accuracy

100.0%

Counts

1 732 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.2%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	72.7%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) F) F))
✓	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))))) F))
	59.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F)))) F))
▶	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F)))) F))
	72.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64))))
	72.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
✓	72.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	19.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
▶	76.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
✓	76.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 382 to 226 computations (40.8% saved)

simplify192.0ms (1.2%)

Memory

31.0MiB live, 182.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 208×	`lower-*.f32`
4 192×	`lower-*.f64`
4 008×	`lower-fma.f32`
4 004×	`lower-fma.f64`
1 952×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	380
0	84	371
1	142	369
2	257	367
3	518	367
4	936	367
5	1601	367
6	2307	367
7	2902	367
8	3754	367
9	5280	367
10	6182	367
11	6308	367
12	6399	367
13	7489	367
0	8143	362

Stop Event

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

Calls

Call 1

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

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

localize439.0ms (2.7%)

Memory

-12.9MiB live, 350.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	0.203125	(.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	14.767329197450954	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
accuracy	0.23046875	(/.f64 (PI.f64) F)
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	30.597302644111135	#s(approx (+ (* (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F))
accuracy	31.544272998179515	#s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F))))
accuracy	0.21484375	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	9.090581951332737	(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F)))
accuracy	31.55008330904283	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
accuracy	0.7541694325655154	(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
accuracy	3.225797469001992	(.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))))
accuracy	14.397949073681906	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
accuracy	35.056188213529126	#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
accuracy	0.0859375	(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F)
accuracy	0.2578125	(*.f64 (PI.f64) l)
accuracy	0.2578125	(*.f64 l (PI.f64))
accuracy	31.55008330904283	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))

Samples

142.0ms	86×	1	valid
85.0ms	7×	3	valid
77.0ms	32×	2	valid
53.0ms	131×	0	valid

Compiler

Compiled 237 to 44 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-tan: 211.0ms (64.6% of total)

ival-mult: 56.0ms (17.2% of total)

ival-div: 23.0ms (7% of total)

adjust: 8.0ms (2.5% of total)

ival-sqrt: 8.0ms (2.5% of total)

const: 6.0ms (1.8% of total)

ival-sub: 5.0ms (1.5% of total)

ival-add: 5.0ms (1.5% of total)

ival-pi: 2.0ms (0.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series107.0ms (0.7%)

Memory

-9.1MiB live, 75.5MiB allocated

Counts

23 → 372

Calls

Call 1

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

Calls

93 calls:

Time	Variable		Point	Expression
74.0ms	l	@	0	(* l (sqrt (sqrt (PI))))
0.0ms	l	@	0	(* (* l (sqrt (sqrt (PI)))) (sqrt (* (PI) (sqrt (PI)))))
0.0ms	l	@	inf	(* l (sqrt (sqrt (PI))))
0.0ms	l	@	-inf	(* l (sqrt (sqrt (PI))))
0.0ms	l	@	0	(/ (tan (* (PI) l)) (* F (neg F)))

simplify350.0ms (2.1%)

Memory

37.8MiB live, 378.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14 916×	`lower-fma.f64`
14 916×	`lower-fma.f32`
5 438×	`lower-+.f64`
5 438×	`lower-+.f32`
5 194×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	250	6154
1	758	6006
2	2478	5390
0	8159	5262

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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)))
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(* -1 (/ (+ (* -1 (PI)) (* -1/3 (* (pow l 2) (pow (PI) 3)))) F))
(/.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 F))
(* -1 (/ (+ (* -1 (PI)) (* -1/3 (* (pow l 2) (pow (PI) 3)))) F))
(/.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 F))
(* -1 (/ (+ (* -1 (PI)) (* -1/3 (* (pow l 2) (pow (PI) 3)))) F))
(/.f64 (.f64 (PI.f64) (fma.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 F))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)

rewrite474.0ms (2.9%)

Memory

4.0MiB live, 440.4MiB allocated

Rules

5 890×	`lower-fma.f32`
5 886×	`lower-fma.f64`
3 780×	`lower-/.f32`
3 778×	`lower-*.f32`
3 768×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	313
0	84	298
1	303	286
2	2444	286
0	8324	282

Stop Event

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

Counts

23 → 500

Calls

Call 1

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

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

eval384.0ms (2.4%)

Memory: -26.2MiB live, 379.1MiB allocated
Compiler: Compiled 30 471 to 2 755 computations (91% saved)

prune253.0ms (1.6%)

Memory

19.1MiB live, 300.8MiB allocated

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	1 419	6	1 425
Fresh	4	1	5
Picked	0	5	5
Done	0	4	4
Total	1 423	16	1 439

Accuracy

100.0%

Counts

1 439 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.2%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	72.6%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F (neg.f64 F))))
✓	72.7%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
✓	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))))) F))
	77.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F)))) F))
✓	77.2%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F)))) F))
✓	72.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	19.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (PI.f64) (neg.f64 F)) F))))
✓	19.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
	19.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F)))))
	19.0%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64)))))
	19.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (PI.f64)) (.f64 F (neg.f64 F)))))
✓	76.7%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
✓	76.2%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	76.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 823 to 256 computations (68.9% saved)

regimes104.0ms (0.6%)

Memory

-15.8MiB live, 63.9MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

33.0ms	(*.f64 F F)
30.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
10.0ms	l
10.0ms	F
10.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
84.5%	1	`F`
99.6%	2	`l`
89.9%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.6%	2	`(*.f64 (PI.f64) l)`
84.5%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
84.5%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 (PI.f64) l)
5.0ms	l

Results

Accuracy	Segments	Branch
99.6%	2	`l`
99.6%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	2	`l`
99.6%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes34.0ms (0.2%)

Memory

-29.0MiB live, 8.4MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

29.0ms	(*.f64 (PI.f64) l)
4.0ms	l

Results

Accuracy	Segments	Branch
99.6%	2	`l`
99.6%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.1%	2	`l`
95.1%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
94.9%	2	`l`
94.9%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes33.0ms (0.2%)

Memory

-16.2MiB live, 21.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

6 calls:

24.0ms	(*.f64 F F)
2.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
2.0ms	F
2.0ms	(*.f64 (PI.f64) l)
2.0ms	l

Results

Accuracy	Segments	Branch
76.6%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
76.6%	1	`F`
76.6%	1	`(*.f64 F F)`
87.2%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
76.6%	1	`l`
76.6%	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
76.6%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
76.6%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2114346632053.194	1758675397477812.5

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	0.03604431982183131	9.674395644310298

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	0.03604431982183131	9.674395644310298

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	0.03604431982183131	9.674395644310298

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03604431982183131	9.674395644310298

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03604431982183131	9.674395644310298

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-2.4693327212914256e-283	1.1741619567017118e-307
0.0ms	-9.407918775124328e+189	-5.82571446064906e+178

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify12.0ms (0.1%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative_binary64`
44×	`sub-neg_binary64`
42×	`+-commutative_binary64`
34×	`neg-sub0_binary64`
34×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	403
1	112	403
2	151	403
3	183	403
4	213	403
5	224	403
6	228	403
7	229	403

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 4000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (PI.f64)) (.f64 F (neg.f64 F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 4000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 4000000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (/ (* (* (PI) (* (PI) (PI))) 1/3) F)) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (PI.f64)) (.f64 F (neg.f64 F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
(if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (PI.f64) l)) (if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 (PI.f64) l) (.f64 F (neg.f64 F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

soundness1.2s (7.5%)

Memory

-24.0MiB live, 987.8MiB allocated

Rules

20 344×	`lower-fma.f64`
20 344×	`lower-fma.f32`
17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
14 916×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	218	6077
1	634	5747
2	1994	5201
0	8078	5063
0	468	8434
1	1425	8125
2	5274	7733
0	8227	7523
0	250	6154
1	758	6006
2	2478	5390
0	8159	5262
0	41	200
0	71	145
1	264	141
2	1832	141
0	9115	141

Stop Event

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

Compiler

Compiled 445 to 200 computations (55.1% saved)

preprocess195.0ms (1.2%)

Memory: 1.4MiB live, 431.7MiB allocated
Remove: (abs F)
Compiler: Compiled 826 to 322 computations (61% 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%)

analyze205.0ms (1.3%)

sample4.6s (28.4%)

explain467.0ms (2.9%)

preprocess88.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.2%)

localize206.0ms (1.3%)

series18.0ms (0.1%)

simplify374.0ms (2.3%)

rewrite269.0ms (1.6%)

eval176.0ms (1.1%)

prune78.0ms (0.5%)

simplify438.0ms (2.7%)

localize569.0ms (3.5%)

series58.0ms (0.4%)

simplify357.0ms (2.2%)

rewrite744.0ms (4.6%)

eval783.0ms (4.8%)

prune306.0ms (1.9%)

simplify203.0ms (1.2%)

localize1.1s (6.8%)

series26.0ms (0.2%)

simplify379.0ms (2.3%)

rewrite486.0ms (3%)

eval254.0ms (1.6%)

prune218.0ms (1.3%)

simplify192.0ms (1.2%)

localize439.0ms (2.7%)

series107.0ms (0.7%)

simplify350.0ms (2.1%)

rewrite474.0ms (2.9%)

eval384.0ms (2.4%)

prune253.0ms (1.6%)

regimes104.0ms (0.6%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes34.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

regimes33.0ms (0.2%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (7.5%)

preprocess195.0ms (1.2%)

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