Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze212.0ms (1.2%)

Memory

29.1MiB live, 265.7MiB 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 (27.2%)

Memory

70.9MiB live, 4 449.2MiB allocated

Samples

3.7s	3 745×	1	valid
310.0ms	4 449×	0	valid
192.0ms	62×	2	valid
2.0ms	5×	4	exit

Precisions

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

ival-tan: 3.5s (86.7% of total)

ival-mult: 243.0ms (6.1% of total)

ival-div: 92.0ms (2.3% of total)

ival-pi: 66.0ms (1.7% of total)

adjust: 60.0ms (1.5% of total)

ival-sub: 54.0ms (1.4% of total)

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

exact: 6.0ms (0.2% of total)

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

Bogosity

explain532.0ms (3.1%)

Memory

45.7MiB live, 703.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
46	-	-	`(.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	133	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	9	0

Confusion

	Predicted +	Predicted -
+	65	0
-	77	114

Precision

0.45774647887323944

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	77	0	114

Precision?

0.45774647887323944

Recall?

1.0

Freqs

test

number	freq
0	114
1	142

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

147.0ms	72×	2	valid
134.0ms	158×	1	valid
133.0ms	30×	3	valid
19.0ms	252×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-tan: 356.0ms (87.2% of total)

ival-mult: 21.0ms (5.1% of total)

ival-div: 17.0ms (4.2% of total)

adjust: 6.0ms (1.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess75.0ms (0.4%)

Memory

10.4MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(-.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

-17.7MiB live, 57.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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))

localize245.0ms (1.4%)

Memory

9.5MiB live, 367.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (PI.f64) l)
accuracy	0.6186025786520222	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	11.326461744992145	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	31.45964333990846	(tan.f64 (*.f64 (PI.f64) l))

Samples

78.0ms	79×	1	valid
75.0ms	36×	2	valid
61.0ms	15×	3	valid
14.0ms	126×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-tan: 197.0ms (91.4% of total)

ival-mult: 8.0ms (3.7% of total)

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

adjust: 3.0ms (1.4% of total)

ival-pi: 2.0ms (0.9% of total)

ival-sub: 2.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-20.6MiB live, 20.4MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify361.0ms (2.1%)

Memory

7.9MiB live, 540.2MiB 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))

rewrite238.0ms (1.4%)

Memory

-10.8MiB live, 342.5MiB 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))

eval84.0ms (0.5%)

Memory: 14.2MiB live, 129.2MiB allocated
Compiler: Compiled 12 853 to 1 239 computations (90.4% saved)

prune111.0ms (0.7%)

Memory

3.1MiB live, 133.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

99.4%

Counts

477 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.6%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	76.5%	(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))))
	76.6%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	40.4%	(/.f64 (-.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 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	76.5%	(/.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)))))
	75.9%	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	79.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	79.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	76.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	76.3%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
	76.3%	(-.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))))
▶	76.3%	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (.f64 (PI.f64) l))))
	76.3%	(-.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)))))
	75.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	69.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
	69.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	77.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 600 to 358 computations (40.3% saved)

simplify46.0ms (0.3%)

Memory

1.8MiB live, 39.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (PI.f64))
cost-diff	0	(*.f64 l (sqrt.f64 (PI.f64)))
cost-diff	0	(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	3840	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (.f64 (PI.f64) l))))
cost-diff	320	(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
cost-diff	704	(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
cost-diff	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
cost-diff	384	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

Rules

672×	`lower-fma.f32`
668×	`lower-fma.f64`
544×	`lower-*.f32`
530×	`lower-*.f64`
224×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	209
0	57	191
1	107	187
2	197	186
3	306	186
4	433	186
5	613	186
6	854	186
7	1097	186
8	1219	186
9	1289	186
10	1325	186
11	1325	186
0	1325	186

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize659.0ms (3.9%)

Memory

13.1MiB live, 553.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.27734375	(*.f64 l (sqrt.f64 (PI.f64)))
accuracy	1.0	(sqrt.f64 (PI.f64))
accuracy	10.578316087897429	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
accuracy	31.459643339908418	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0.22265625	(*.f64 (PI.f64) l)
accuracy	0.29134750976844204	(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
accuracy	11.326461744992145	(.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	31.459643339908418	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0.06640625	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
accuracy	0.09375	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.22265625	(*.f64 (PI.f64) l)
accuracy	31.459643339908418	(tan.f64 (*.f64 (PI.f64) l))
accuracy	0	(PI.f64)
accuracy	0.22265625	(*.f64 l (PI.f64))
accuracy	14.557789137996476	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
accuracy	0.0546875	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
accuracy	0.09375	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.22265625	(*.f64 (PI.f64) l)
accuracy	31.459643339908418	(tan.f64 (*.f64 (PI.f64) l))

Samples

229.0ms	75×	1	valid
204.0ms	36×	2	valid
151.0ms	15×	3	valid
27.0ms	130×	0	valid

Compiler

Compiled 209 to 32 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 500.0ms

ival-tan: 330.0ms (66% of total)

ival-div: 116.0ms (23.2% of total)

ival-mult: 26.0ms (5.2% of total)

adjust: 8.0ms (1.6% of total)

ival-sqrt: 6.0ms (1.2% of total)

ival-sub: 5.0ms (1% of total)

ival-add: 4.0ms (0.8% of total)

ival-pi: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series101.0ms (0.6%)

Memory

-32.8MiB live, 100.4MiB allocated

Counts

17 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
55.0ms	l	@	0	(* (* l (sqrt (PI))) (sqrt (sqrt (PI))))
2.0ms	l	@	-inf	(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
1.0ms	l	@	0	(/ (tan (* (PI) l)) F)
1.0ms	l	@	0	(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
1.0ms	l	@	0	(* l (sqrt (PI)))

simplify309.0ms (1.8%)

Memory

51.7MiB live, 384.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 032×	`lower-fma.f64`
14 032×	`lower-fma.f32`
5 002×	`lower-*.f64`
5 002×	`lower-*.f32`
3 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	224	5377
1	681	5059
2	2216	4589
0	8718	4484

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

rewrite356.0ms (2.1%)

Memory

-4.4MiB live, 442.2MiB allocated

Rules

5 164×	`lower-fma.f32`
5 160×	`lower-fma.f64`
4 538×	`lower-/.f32`
4 528×	`lower-/.f64`
4 388×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	146
0	57	124
1	218	121
2	1515	119
0	8575	119

Stop Event

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

Counts

17 → 776

Calls

Call 1

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

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

eval249.0ms (1.5%)

Memory: 21.8MiB live, 530.8MiB allocated
Compiler: Compiled 41 922 to 2 536 computations (94% saved)

prune574.0ms (3.4%)

Memory

-15.8MiB live, 454.0MiB allocated

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	1 798	10	1 808
Fresh	8	4	12
Picked	3	2	5
Done	0	0	0
Total	1 809	16	1 825

Accuracy

99.4%

Counts

1 825 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(fma.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	72.9%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	76.6%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
✓	79.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	72.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	56.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
▶	76.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	76.3%	(-.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))))
	69.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	76.3%	(-.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)))))
	75.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	69.9%	(-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan ( (PI) l)) F) F) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
▶	69.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	76.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	76.4%	#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))))))
✓	77.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 504 to 308 computations (38.9% saved)

simplify349.0ms (2.1%)

Memory

-14.1MiB live, 216.8MiB 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(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
cost-diff	0	(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
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))
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 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
cost-diff	0	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
cost-diff	0	(/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F)
cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))

Rules

5 664×	`lower-fma.f32`
5 660×	`lower-fma.f64`
2 052×	`lower--.f32`
2 048×	`lower-*.f32`
2 048×	`lower--.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	292
0	72	290
1	117	286
2	190	286
3	339	286
4	624	284
5	1084	284
6	1493	284
7	2148	284
8	3045	284
9	3626	284
10	3894	284
11	4011	284
12	4045	284
13	4062	284
14	4290	284
15	4620	284
16	5042	284
17	5368	284
18	6283	284
19	7083	284
20	7412	284
21	7512	284
22	7620	284
23	7656	284
0	8204	284

Stop Event

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

Calls

Call 1

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

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

localize1.5s (8.9%)

Memory

38.7MiB live, 1 597.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16114507356042307	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))))
accuracy	1.186980166630361	(tan.f64 (*.f64 (PI.f64) l))
accuracy	2.4606004627552966	(/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.125	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy	0.51171875	(sqrt.f64 (PI.f64))
accuracy	14.557789137996476	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.12890625	(*.f64 (PI.f64) l)
accuracy	0.12890625	(*.f64 l (PI.f64))
accuracy	2.2981188691024883	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.5455641024954592	(/.f64 (PI.f64) (*.f64 F F))
accuracy	0.7207876417886323	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
accuracy	2.2281926385351363	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.51171875	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	0.51171875	(sqrt.f64 (PI.f64))
accuracy	1.186980166630361	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
accuracy	30.272700481019392	(PI.f64)

Samples

1.4s	125×	3	exit
33.0ms	129×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 262 to 38 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-tan: 1.3s (92.4% of total)

ival-mult: 35.0ms (2.5% of total)

ival-div: 22.0ms (1.6% of total)

adjust: 20.0ms (1.4% of total)

ival-sqrt: 14.0ms (1% of total)

ival-sub: 8.0ms (0.6% of total)

ival-add: 4.0ms (0.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series294.0ms (1.7%)

Memory

-113.8MiB live, 110.4MiB allocated

Counts

24 → 360

Calls

Call 1

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

Calls

90 calls:

Time	Variable		Point	Expression
259.0ms	l	@	0	(* (sqrt (sqrt (PI))) l)
4.0ms	l	@	0	(/ (tan (* (PI) l)) F)
1.0ms	l	@	0	(/ (* F F) (tan (* (PI) l)))
1.0ms	l	@	0	(* l (- (PI) (/ (PI) (* F F))))
1.0ms	l	@	-inf	(/ (* F F) (tan (* (PI) l)))

simplify328.0ms (1.9%)

Memory

50.6MiB live, 663.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
8 050×	`lower-*.f64`
8 050×	`lower-*.f32`
4 344×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	6155
1	828	5947
2	3013	5611
0	9266	5452

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

Outputs
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
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(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
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(* 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))))))))))
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(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
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(* l (PI))
(*.f64 l (PI.f64))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 F F))))
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(-.f64 (.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))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
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(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
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(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
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(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(.f64 l (fma.f64 l (.f64 l (/.f64 (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F)) (/.f64 (PI.f64) 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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(* l (PI))
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(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (-.f64 (.f64 (.f64 F F) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64))))) (/.f64 (.f64 F F) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (/ (* (pow F 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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (fma.f64 (.f64 F F) (/.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (.f64 (PI.f64) (PI.f64))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 F F) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3 binary64)) (/.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (neg.f64 (.f64 l l)) (-.f64 (.f64 (.f64 F F) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64)))))) (/.f64 (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 F F) (PI.f64))) l)
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 l (.f64 l (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))

rewrite288.0ms (1.7%)

Memory

-14.4MiB live, 477.1MiB allocated

Rules

4 686×	`lower-*.f32`
4 670×	`lower-*.f64`
3 936×	`lower-/.f32`
3 924×	`lower-/.f64`
3 708×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	235
0	72	248
1	264	172
2	2036	172
0	8521	171

Stop Event

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

Counts

24 → 680

Calls

Call 1

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

eval253.0ms (1.5%)

Memory: 10.3MiB live, 445.8MiB allocated
Compiler: Compiled 39 197 to 4 184 computations (89.3% saved)

prune253.0ms (1.5%)

Memory

-12.3MiB live, 439.2MiB allocated

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1 779	9	1 788
Fresh	3	6	9
Picked	1	4	5
Done	0	2	2
Total	1 783	21	1 804

Accuracy

99.4%

Counts

1 804 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
✓	72.9%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
▶	76.6%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
	69.9%	(fma.f64 (PI.f64) l (/.f64 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (.f64 F F)))
✓	79.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	72.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
✓	76.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
▶	69.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))))))
	74.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ ( F F) (tan (* (PI) l))) (/.f64 (fma.f64 F (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 l l) (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (.f64 (PI.f64) (PI.f64)))) l))))
	76.3%	(-.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))))
	76.3%	(-.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)))))
	75.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	69.6%	#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))))
▶	69.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
	69.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
✓	69.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	69.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F)))))
▶	19.7%	#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))))))
✓	76.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	76.4%	#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))))))
✓	77.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 593 to 359 computations (39.5% saved)

simplify229.0ms (1.4%)

Memory

9.0MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 768×	`lower-fma.f32`
5 764×	`lower-fma.f64`
1 866×	`lower-*.f32`
1 848×	`lower-*.f64`
1 804×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	328
0	77	328
1	118	328
2	187	324
3	330	324
4	624	323
5	1025	323
6	1686	323
7	2294	323
8	2890	323
9	3377	323
10	3850	323
11	4126	323
12	4372	323
13	4866	323
14	5397	323
15	7279	323
0	8094	323

Stop Event

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

Calls

Call 1

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

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

localize1.0s (6.2%)

Memory

13.1MiB live, 1 441.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	0.51171875	(sqrt.f64 (PI.f64))
accuracy	2.2981188691024883	#s(approx (tan (* (PI) l)) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.16114507356042307	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
accuracy	2.2981188691024883	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	2.4606004627552966	(/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.12890625	(/.f64 (PI.f64) F)
accuracy	0.7207876417886323	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
accuracy	2.2281926385351363	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.7207876417886323	#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))))))
accuracy	2.2281926385351363	(.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))))
accuracy	17.921847185784724	#s(approx (- (PI) (/ (PI) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
accuracy	30.272700481019392	(PI.f64)
accuracy	0.12890625	(*.f64 (PI.f64) l)
accuracy	1.186980166630361	(tan.f64 (*.f64 (PI.f64) l))
accuracy	2.211175372889749	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F)))
accuracy	30.272700481019392	(PI.f64)

Samples

951.0ms	125×	3	exit
34.0ms	129×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 239 to 38 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 946.0ms

ival-tan: 832.0ms (88% of total)

ival-mult: 41.0ms (4.3% of total)

ival-div: 26.0ms (2.7% of total)

adjust: 18.0ms (1.9% of total)

ival-sqrt: 10.0ms (1.1% of total)

ival-sub: 9.0ms (1% of total)

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

ival-neg: 3.0ms (0.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory

-8.6MiB live, 28.8MiB allocated

Counts

23 → 384

Calls

Call 1

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

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

96 calls:

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

simplify316.0ms (1.9%)

Memory

-8.4MiB live, 349.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 202×	`lower-fma.f64`
10 202×	`lower-fma.f32`
7 136×	`lower-*.f64`
7 136×	`lower-*.f32`
4 358×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	6481
1	827	6281
2	2983	5954
0	8427	5802

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

Outputs
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(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (/ (* (pow F 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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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))))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/3 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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)))) (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/3 binary64))) (PI.f64))))) (.f64 l (neg.f64 l)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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)))) (neg.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))) (/.f64 (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 F F) (PI.f64))) l)
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))) (sin.f64 (.f64 l (PI.f64))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (-.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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))))) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) #s(literal 1/3 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.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 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))

rewrite310.0ms (1.8%)

Memory

15.7MiB live, 318.2MiB allocated

Rules

4 370×	`lower-*.f32`
4 352×	`lower-*.f64`
4 048×	`lower-/.f32`
4 032×	`lower-/.f64`
2 324×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	264
0	77	257
1	265	248
2	1985	227
0	8308	227

Stop Event

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

Counts

23 → 672

Calls

Call 1

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

Outputs
(+.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (*.f64 (PI.f64) l))
(-.f64 (.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 l (.f64 (PI.f64) l)))) (fma.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (.f64 (PI.f64) l))) (/.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))) (*.f64 (PI.f64) l))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (.f64 l (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (.f64 l (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) F) (.f64 (PI.f64) l))
(fma.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (neg.f64 F) (tan.f64 (.f64 (PI.f64) l))) #s(literal -1 binary64)) (.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(fma.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 (PI.f64) l))
(fma.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
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eval403.0ms (2.4%)

Memory: 18.9MiB live, 410.5MiB allocated
Compiler: Compiled 35 443 to 3 693 computations (89.6% saved)

prune384.0ms (2.3%)

Memory

-39.9MiB live, 477.6MiB allocated

Pruning

22 alts after pruning (13 fresh and 9 done)

	Pruned	Kept	Total
New	1 578	8	1 586
Fresh	5	5	10
Picked	1	4	5
Done	1	5	6
Total	1 585	22	1 607

Accuracy

99.4%

Counts

1 607 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.9%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
✓	72.9%	(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	76.6%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F (neg.f64 F))))
✓	76.6%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
	69.9%	(fma.f64 (PI.f64) l (/.f64 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (.f64 F F)))
	79.6%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
	16.2%	(fma.f64 (PI.f64) l (exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) #s(literal -1 binary64))))
✓	79.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	72.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) F))
✓	69.9%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))))))
	74.4%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ ( F F) (tan (* (PI) l))) (/.f64 (fma.f64 F (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 l l) (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (.f64 (PI.f64) (PI.f64)))) l))))
	76.3%	(-.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)))))
	75.2%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	69.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F))))
✓	69.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	19.7%	#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))))
	19.7%	#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)))))
	19.7%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F))))))
✓	19.7%	#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))))))
✓	76.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	76.4%	#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))))))
✓	77.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 1 016 to 370 computations (63.6% saved)

regimes129.0ms (0.8%)

Memory

19.3MiB live, 136.3MiB allocated

Counts

45 → 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)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (- (* (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 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F))))))
#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 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (.f64 F F)))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F)))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) 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 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))) F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (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 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ ( F F) (tan (* (PI) l))) (/.f64 (fma.f64 F (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 l l) (.f64 (.f64 (.f64 F F) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (.f64 (PI.f64) (PI.f64)))) l))))
(fma.f64 (PI.f64) l (neg.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 (neg.f64 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 (PI.f64) l (/.f64 #s(literal -1 binary64) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.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 (/.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 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))) #s(literal -1 binary64))))
(/.f64 (-.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 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))

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

Calls

6 calls:

43.0ms	l
25.0ms	(*.f64 (PI.f64) l)
23.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))
12.0ms	F
12.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
86.7%	2	`F`
99.1%	2	`l`
90.4%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.1%	2	`(*.f64 (PI.f64) l)`
87.7%	3	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
87.9%	3	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes36.0ms (0.2%)

Memory

-9.7MiB live, 29.7MiB allocated

Counts

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

Outputs

(fma.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (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:

27.0ms	(*.f64 (PI.f64) l)
8.0ms	l

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.3%)

Memory

-14.8MiB live, 24.6MiB allocated

Counts

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

42.0ms	l
7.0ms	(*.f64 (PI.f64) l)

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes10.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB 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)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (- (* (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 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F))))))
#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 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (.f64 F F)))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F)))))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (.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	(*.f64 (PI.f64) l)
4.0ms	l

Results

Accuracy	Segments	Branch
95.5%	2	`l`
95.5%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
#s(approx (- (* (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 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F))))))
#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
95.2%	2	`l`
95.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-30.5MiB live, 11.0MiB allocated

Counts

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

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

Calls

3 calls:

9.0ms	(*.f64 (PI.f64) l)
2.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
1.0ms	l

Results

Accuracy	Segments	Branch
88.9%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
80.6%	3	`l`
80.6%	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0%)

Memory

21.8MiB live, 21.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

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

Results

Accuracy	Segments	Branch
77.0%	1	`l`
77.0%	1	`(*.f64 (PI.f64) l)`
77.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
77.0%	1	`(*.f64 F F)`
77.0%	1	`F`
77.0%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11731281643330.459	70371161290142.89

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11640710149740.492	11731281643330.459

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	11640710149740.492	11731281643330.459

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	11640710149740.492	11731281643330.459

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	11640710149740.492	11731281643330.459

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0506082793808865e-194	4.342939603695732e-303
0.0ms	-1.5649772026749937e+234	-1.3428873408818131e+216

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify22.0ms (0.1%)

Memory

-14.5MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
38×	`sub-neg_binary64`
36×	`+-commutative_binary64`
28×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	336
1	98	336
2	136	336
3	166	336
4	187	336
5	193	336
6	194	336

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 11700000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (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 11700000000000 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 11700000000000 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 11700000000000 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 -1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968 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 -6575169876935467/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #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)))))) #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 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 11700000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (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 11700000000000 binary64)) (fma.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (.f64 l (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) 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 11700000000000 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 11700000000000 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 11700000000000 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 11700000000000 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 11700000000000 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 11700000000000 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 -1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968 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 -6575169876935467/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #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)))))) #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 -1000000000000000017865845178806930323739528929966661805443773400559670093686692423675827549619949242079148155740876247260071725785255408160775710807422153542338003433646596020960023924842331815965645472194120710174156699571604284243968 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 -6575169876935467/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (neg.f64 (PI.f64)) (.f64 F F))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (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))

soundness1.0s (6.2%)

Memory

0.6MiB live, 612.2MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
14 032×	`lower-fma.f64`
14 032×	`lower-fma.f32`
11 458×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	271	6155
1	828	5947
2	3013	5611
0	9266	5452
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	224	5377
1	681	5059
2	2216	4589
0	8718	4484
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	42	235
0	72	248
1	264	172
2	2036	172
0	8521	171

Stop Event

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

Compiler

Compiled 389 to 175 computations (55% saved)

preprocess832.0ms (4.9%)

Memory: 9.1MiB live, 204.0MiB allocated
Remove: (abs F)
Compiler: Compiled 670 to 248 computations (63% 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%)

analyze212.0ms (1.2%)

sample4.6s (27.2%)

explain532.0ms (3.1%)

preprocess75.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify35.0ms (0.2%)

localize245.0ms (1.4%)

series31.0ms (0.2%)

simplify361.0ms (2.1%)

rewrite238.0ms (1.4%)

eval84.0ms (0.5%)

prune111.0ms (0.7%)

simplify46.0ms (0.3%)

localize659.0ms (3.9%)

series101.0ms (0.6%)

simplify309.0ms (1.8%)

rewrite356.0ms (2.1%)

eval249.0ms (1.5%)

prune574.0ms (3.4%)

simplify349.0ms (2.1%)

localize1.5s (8.9%)

series294.0ms (1.7%)

simplify328.0ms (1.9%)

rewrite288.0ms (1.7%)

eval253.0ms (1.5%)

prune253.0ms (1.5%)

simplify229.0ms (1.4%)

localize1.0s (6.2%)

series23.0ms (0.1%)

simplify316.0ms (1.9%)

rewrite310.0ms (1.8%)

eval403.0ms (2.4%)

prune384.0ms (2.3%)

regimes129.0ms (0.8%)

regimes36.0ms (0.2%)

regimes50.0ms (0.3%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes13.0ms (0.1%)

regimes8.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify22.0ms (0.1%)

soundness1.0s (6.2%)

preprocess832.0ms (4.9%)

end0.0ms (0%)

Profiling

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