Metrics for VandenBroeck and Keller, Equation (6)

analyze206.0ms (1.1%)

Memory

29.0MiB live, 264.7MiB 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)

sample5.0s (26%)

Memory

110.9MiB live, 4 724.1MiB allocated

Samples

3.8s	3 845×	1	valid
583.0ms	4 340×	0	valid
185.0ms	71×	2	valid
1.0ms	4×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-tan: 3.4s (81.4% of total)

ival-mult: 344.0ms (8.2% of total)

ival-pi: 200.0ms (4.8% of total)

ival-div: 90.0ms (2.2% of total)

ival-sub: 64.0ms (1.5% of total)

adjust: 62.0ms (1.5% of total)

exact: 8.0ms (0.2% of total)

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

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

Bogosity

preprocess76.0ms (0.4%)

Memory

0.9MiB live, 82.2MiB 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)

explain465.0ms (2.4%)

Memory

-12.3MiB live, 817.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
40	-	-	`(.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	132	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	11	0

Confusion

	Predicted +	Predicted -
+	61	0
-	82	113

Precision

0.42657342657342656

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	61	0	0
-	82	0	113

Precision?

0.42657342657342656

Recall?

1.0

Freqs

test

number	freq
0	113
1	143

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

164.0ms	160×	1	valid
143.0ms	88×	2	valid
42.0ms	8×	3	valid
20.0ms	256×	0	valid

Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

ival-tan: 301.0ms (87.6% of total)

ival-mult: 19.0ms (5.5% of total)

ival-pi: 7.0ms (2% of total)

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

adjust: 5.0ms (1.5% of total)

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

exact: 1.0ms (0.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify31.0ms (0.2%)

Memory

18.8MiB live, 57.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize204.0ms (1.1%)

Memory

-12.0MiB live, 301.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓	accuracy	84.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))

Samples

85.0ms	80×	1	valid
74.0ms	44×	2	valid
13.0ms	4×	3	valid
9.0ms	128×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-tan: 148.0ms (87.2% of total)

ival-mult: 9.0ms (5.3% of total)

ival-div: 6.0ms (3.5% of total)

adjust: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

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

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

series11.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<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))))>
#<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))))>
#<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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<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))))))>
#<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))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>

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))))

rewrite544.0ms (2.8%)

Memory

-47.5MiB live, 388.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 308

Calls

Call 1

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

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

simplify500.0ms (2.6%)

Memory

30.5MiB live, 738.2MiB 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)))
(+ (* -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))
(* 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
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (* l (PI)) (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 l (/.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) l)) (.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 l (.f64 l (/.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 F F))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (neg.f64 (fma.f64 (PI.f64) (.f64 (.f64 (PI.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 #s(literal -1/2 binary64) (.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (.f64 F F))))) (/.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 F F))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 F F))) (/.f64 (PI.f64) (.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(.f64 l (-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(.f64 l (-.f64 (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (neg.f64 (/.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 F F)))) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F))) (PI.f64)) (/.f64 (PI.f64) (.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (.f64 F F)) #s(literal -1/3 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (fma.f64 (.f64 (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 #s(literal -1/2 binary64) (.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (.f64 F F)) #s(literal -1/840 binary64) (/.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (.f64 (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 F F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (neg.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))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (.f64 (.f64 l l) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (fma.f64 (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (.f64 #s(literal -1/72 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

eval62.0ms (0.3%)

Memory: -12.1MiB live, 138.5MiB allocated
Compiler: Compiled 12 757 to 1 237 computations (90.3% saved)

prune69.0ms (0.4%)

Memory

20.7MiB live, 181.2MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	453	23	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	454	23	477

Accuracy

99.4%

Counts

477 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
	66.1%	(fma.f64 (.f64 (PI.f64) (.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))))
	77.0%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
▶	77.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	76.7%	(-.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))))
	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
	81.0%	(-.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)))
▶	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	69.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	77.0%	(-.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))))
	47.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.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)))))
	52.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (fma.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
	69.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
	76.9%	(-.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))))
	77.0%	(-.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))))
	76.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	34.0%	(.f64 (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l)))) (.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l)))))))
▶	53.5%	(.f64 l (-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
	69.6%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
▶	78.3%	(*.f64 l (PI.f64))

Compiler

Compiled 1 020 to 534 computations (47.6% saved)

simplify429.0ms (2.2%)

Memory

-17.0MiB live, 693.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
✓	cost-diff	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	cost-diff	576	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
✓	cost-diff	0	(*.f64 l l)
✓	cost-diff	0	(fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (PI.f64))
✓	cost-diff	0	(.f64 l (-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
✓	cost-diff	1152	(-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 l (PI.f64))
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))
✓	cost-diff	640	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))

Rules

14 746×	`lower-fma.f32`
14 742×	`lower-fma.f64`
6 228×	`lower-*.f32`
6 210×	`lower-*.f64`
1 450×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	255
0	57	262
1	106	237
2	269	233
3	831	231
4	3406	231
5	7549	231
0	8213	227

Stop Event

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

Calls

Call 1

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

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

localize340.0ms (1.8%)

Memory

10.4MiB live, 633.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.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)))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
✓	accuracy	84.7%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.9%	(fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
✓	accuracy	99.9%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))
✓	accuracy	95.8%	(.f64 l (-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
✓	accuracy	84.5%	(fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(*.f64 l (PI.f64))
✓	accuracy	99.9%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (PI.f64) l)))
✓	accuracy	99.6%	(*.f64 (PI.f64) l)
✓	accuracy	50.9%	(tan.f64 (*.f64 (PI.f64) l))

Samples

114.0ms	80×	1	valid
102.0ms	44×	2	valid
39.0ms	128×	0	valid
21.0ms	4×	3	valid

Compiler

Compiled 261 to 34 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-tan: 140.0ms (60.3% of total)

ival-mult: 32.0ms (13.8% of total)

ival-div: 23.0ms (9.9% of total)

const: 14.0ms (6% of total)

adjust: 7.0ms (3% of total)

ival-add: 7.0ms (3% of total)

ival-sub: 5.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

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

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

series34.0ms (0.2%)

Memory

-1.5MiB live, 76.0MiB allocated

Counts

19 → 336

Calls

Call 1

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

Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<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))))>
#<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))))>
#<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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (* l (PI)) F))>
#<alt (* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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)))))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (- (PI) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (/ (- (* -1/3 (* (pow l 2) (pow (PI) 3))) (PI)) (pow F 2))>
#<alt (/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 3))) (* (pow F 2) (PI))) (PI)) (pow F 2))>
#<alt (/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 3))) (* (pow F 2) (PI))) (PI)) (pow F 2))>
#<alt (/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 3))) (* (pow F 2) (PI))) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (PI)>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))>
#<alt (* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))>
#<alt (* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))>
#<alt (* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))>
#<alt (* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))>
#<alt (/ 1 (* l (PI)))>
#<alt (+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))>
#<alt (- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))>
#<alt (- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))>
#<alt (/ 1 (* l (PI)))>
#<alt (+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))>
#<alt (- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))>
#<alt (- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<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))))>
#<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))))>
#<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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<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))))>
#<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))))>
#<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))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>

Calls

84 calls:

Time	Variable		Expression
6.0ms	l	@	(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
5.0ms	l	@	(* (/ -1 F) (tan (* (PI) l)))
1.0ms	l	@	(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
1.0ms	l	@	(- (+ (* (* l l) (/ (* (PI) (* (* (PI) (PI)) -1/3)) (* F F))) (PI)) (/ (PI) (* F F)))
1.0ms	F	@	(- (+ (* (* l l) (/ (* (PI) (* (* (PI) (PI)) -1/3)) (* F F))) (PI)) (/ (PI) (* F F)))

rewrite408.0ms (2.1%)

Memory

-21.2MiB live, 612.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 440×	`lower-fma.f32`
6 436×	`lower-fma.f64`
4 448×	`lower-/.f32`
4 432×	`lower-/.f64`
3 874×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	191
0	57	198
1	230	171
2	2114	165
0	8441	165

Stop Event

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

Counts

19 → 1 096

Calls

Call 1

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

simplify664.0ms (3.5%)

Memory

39.7MiB live, 633.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 606×	`lower-fma.f64`
8 606×	`lower-fma.f32`
7 546×	`lower-*.f64`
7 546×	`lower-*.f32`
2 278×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	7347
1	1414	6986
2	5366	6672
0	8225	6512

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (* l (PI)) F))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (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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(/ 1 (* l (PI)))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(/ 1 (* l (PI)))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(* 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))
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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))
(/ (- (* (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)))
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(/ (* 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)))))

Outputs
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (cos.f64 (.f64 l (PI.f64)))))
(/ (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)))))

eval612.0ms (3.2%)

Memory: 23.2MiB live, 440.3MiB allocated
Compiler: Compiled 67 639 to 4 847 computations (92.8% saved)

prune426.0ms (2.2%)

Memory

-25.0MiB live, 461.6MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	2 065	16	2 081
Fresh	7	11	18
Picked	4	1	5
Done	0	0	0
Total	2 076	28	2 104

Accuracy

99.5%

Counts

2 104 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.6%	(fma.f64 (/.f64 (.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
▶	59.6%	(fma.f64 (.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
	77.0%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
	60.3%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	69.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	78.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
▶	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
	81.0%	(-.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)))
▶	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
	80.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))) (neg.f64 F)))
	69.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (.f64 l (PI.f64)) F)) (neg.f64 F)))
▶	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	77.0%	(-.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))))
	47.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.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)))))
	69.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 l (PI.f64))))
	76.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	62.3%	(-.f64 (.f64 (PI.f64) l) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1 binary64))))
	34.0%	(.f64 (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l)))) (.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (.f64 l (.f64 (PI.f64) (*.f64 (PI.f64) l)))))))
	53.5%	(.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (fma.f64 (PI.f64) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (.f64 F F)) (*.f64 l l)) (PI.f64))))
	18.3%	(.f64 l (/.f64 (fma.f64 (.f64 l l) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) (neg.f64 (PI.f64))) (.f64 F F)))
	53.5%	(.f64 l (-.f64 (fma.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (.f64 F F)) (PI.f64)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
	16.6%	(.f64 l (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) (.f64 F F)) (/.f64 (PI.f64) (.f64 F F))))
▶	69.6%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
	77.9%	(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓	78.3%	(*.f64 l (PI.f64))

Compiler

Compiled 1 169 to 660 computations (43.5% saved)

simplify204.0ms (1.1%)

Memory

-3.2MiB live, 324.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
✓	cost-diff	384	(/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
✓	cost-diff	0	(.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)))
✓	cost-diff	0	(fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))
✓	cost-diff	192	(fma.f64 (.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l))
✓	cost-diff	704	(.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F)))
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
✓	cost-diff	320	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
✓	cost-diff	640	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64))) (neg.f64 F))
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 F F))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓	cost-diff	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
✓	cost-diff	384	(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))

Rules

4 588×	`lower-fma.f32`
4 584×	`lower-fma.f64`
3 138×	`lower-*.f32`
3 116×	`lower-*.f64`
1 818×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	282
0	71	265
1	135	262
2	344	256
3	1083	255
4	3431	253
5	6449	253
0	8300	252

Stop Event

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

Calls

Call 1

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

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

localize1.9s (9.8%)

Memory

14.6MiB live, 2 911.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.8%	(.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/3 binary64) F)
✓	accuracy	99.2%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.8%	(*.f64 l (PI.f64))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal -1 binary64) F) (.f64 l (PI.f64)))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	100.0%	(*.f64 F F)
✓	accuracy	99.4%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	95.8%	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.4%	(sin.f64 (*.f64 (PI.f64) l))
✓	accuracy	99.4%	(cos.f64 (*.f64 (PI.f64) l))
✓	accuracy	51.6%	(PI.f64)

Samples

1.8s	128×	3	exit
39.0ms	128×	0	valid

Compiler

Compiled 288 to 41 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-tan: 981.0ms (56.1% of total)

ival-sin: 628.0ms (35.9% of total)

ival-mult: 37.0ms (2.1% of total)

ival-div: 29.0ms (1.7% of total)

adjust: 24.0ms (1.4% of total)

ival-cos: 16.0ms (0.9% of total)

ival-add: 14.0ms (0.8% of total)

ival-sub: 9.0ms (0.5% of total)

const: 6.0ms (0.3% of total)

ival-pi: 4.0ms (0.2% of total)

exact: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

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

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

series46.0ms (0.2%)

Memory

7.1MiB live, 80.7MiB allocated

Counts

25 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
7.0ms	l	@	0	(* l (* (* (PI) (* (PI) (PI))) (/ 1/3 F)))
3.0ms	F	@	inf	(* l (+ (* l (* l (* (* (PI) (* (PI) (PI))) (/ 1/3 F)))) (/ (PI) F)))
2.0ms	l	@	0	(* l (+ (* l (* l (* (* (PI) (* (PI) (PI))) (/ 1/3 F)))) (/ (PI) F)))
1.0ms	l	@	0	(/ F (/ (tan (* (PI) l)) F))
1.0ms	F	@	0	(* l (+ (* l (* l (* (* (PI) (* (PI) (PI))) (/ 1/3 F)))) (/ (PI) F)))

rewrite316.0ms (1.7%)

Memory

27.8MiB live, 537.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 088×	`lower-*.f32`
6 066×	`lower-*.f64`
3 300×	`lower-/.f32`
3 280×	`lower-/.f64`
2 554×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	220
0	71	216
1	273	187
2	2398	187
0	8463	187

Stop Event

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

Counts

25 → 686

Calls

Call 1

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

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

simplify364.0ms (1.9%)

Memory

-14.8MiB live, 581.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 946×	`lower-fma.f64`
8 946×	`lower-fma.f32`
6 552×	`lower-*.f64`
6 552×	`lower-*.f32`
1 794×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	6185
1	1244	6005
2	4549	5760
0	8078	5605

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

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

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

eval520.0ms (2.7%)

Memory: -82.5MiB live, 515.7MiB allocated
Compiler: Compiled 42 454 to 4 518 computations (89.4% saved)

prune183.0ms (1%)

Memory

52.8MiB live, 438.6MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1 820	15	1 835
Fresh	13	9	22
Picked	4	1	5
Done	0	1	1
Total	1 837	26	1 863

Accuracy

99.5%

Counts

1 863 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.6%	(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (.f64 (PI.f64) l))
	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
	69.6%	(fma.f64 (PI.f64) l (/.f64 (.f64 (neg.f64 (PI.f64)) l) (.f64 F F)))
▶	77.0%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
	60.3%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	18.3%	(/.f64 (.f64 (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (.f64 F F))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	69.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	78.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
✓	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
▶	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (.f64 (PI.f64) l))) (neg.f64 F)))
	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
	78.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 F (/.f64 F (PI.f64)) (/.f64 (.f64 (.f64 (.f64 l (.f64 l (.f64 F F))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))) l)))
	73.6%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 F) (*.f64 (neg.f64 (PI.f64)) l)) F)))
▶	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	47.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.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)))))
	69.6%	(.f64 l (fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 F F)) (PI.f64)))
	16.6%	(.f64 l (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) (.f64 F F)) (/.f64 (PI.f64) (.f64 F F))))
	69.6%	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
	69.5%	(.f64 l (-.f64 (PI.f64) (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
	69.5%	(.f64 l (-.f64 (PI.f64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 F F))))))
	77.9%	(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
▶	18.5%	(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
✓	78.3%	(*.f64 l (PI.f64))

Compiler

Compiled 904 to 550 computations (39.2% saved)

simplify258.0ms (1.4%)

Memory

-13.2MiB live, 303.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
✓	cost-diff	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	320	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (.f64 (PI.f64) l))) (neg.f64 F)))
✓	cost-diff	640	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (*.f64 (PI.f64) l))) (neg.f64 F))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (*.f64 (PI.f64) l)))
✓	cost-diff	0	(/.f64 (PI.f64) F)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -1 binary64) l) F)
✓	cost-diff	192	(*.f64 #s(literal -1 binary64) l)
✓	cost-diff	704	(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (.f64 (PI.f64) l))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (*.f64 F F))
✓	cost-diff	0	(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
✓	cost-diff	0	(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(*.f64 (PI.f64) l)
✓	cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))

Rules

4 424×	`lower-fma.f32`
4 420×	`lower-fma.f64`
1 468×	`div-sub`
1 344×	`lower-*.f32`
1 334×	`lower-*.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	191
0	51	186
1	100	184
2	248	178
3	736	170
4	2850	170
5	4350	170
6	5472	170
7	5632	170
8	5674	170
9	5681	170
10	5761	170
11	6124	170
12	6486	170
13	6734	170
14	6859	170
15	7533	170
0	8024	170

Stop Event

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

Calls

Call 1

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

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

localize1.0s (5.4%)

Memory

20.5MiB live, 1 412.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	95.9%	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F)))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (neg.f64 F) (*.f64 (PI.f64) l))
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (*.f64 (PI.f64) l)))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.9%	(fma.f64 (/.f64 (.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (.f64 (PI.f64) l))
✓	accuracy	99.8%	(/.f64 (PI.f64) F)
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	100.0%	(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
✓	accuracy	99.4%	(/.f64 (PI.f64) (*.f64 F F))
✓	accuracy	95.9%	(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
✓	accuracy	51.6%	(PI.f64)
✓	accuracy	99.9%	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓	accuracy	99.8%	(*.f64 (PI.f64) l)
✓	accuracy	99.3%	(tan.f64 (*.f64 (PI.f64) l))
✓	accuracy	51.6%	(PI.f64)

Samples

955.0ms	128×	3	exit
26.0ms	128×	0	valid

Compiler

Compiled 195 to 30 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 943.0ms

ival-tan: 865.0ms (91.7% of total)

ival-div: 26.0ms (2.8% of total)

ival-mult: 16.0ms (1.7% of total)

adjust: 13.0ms (1.4% of total)

ival-add: 11.0ms (1.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.1%)

Memory

-2.9MiB live, 33.9MiB allocated

Counts

19 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
7.0ms	l	@	inf	(/ (* -1 l) F)
1.0ms	l	@	0	(/ F (tan (* (PI) l)))
1.0ms	F	@	0	(/ (neg F) (* (PI) l))
1.0ms	l	@	0	(/ (* -1 l) F)
1.0ms	l	@	0	(/ (neg F) (* (PI) l))

rewrite367.0ms (1.9%)

Memory

-24.2MiB live, 420.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 298×	`lower-*.f32`
4 296×	`lower-/.f32`
4 288×	`lower-*.f64`
4 278×	`lower-/.f64`
2 866×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	51	136
1	216	126
2	1869	124
0	8133	124

Stop Event

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

Counts

19 → 778

Calls

Call 1

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

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

simplify705.0ms (3.7%)

Memory

-8.6MiB live, 834.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 364×	`lower-fma.f64`
15 364×	`lower-fma.f32`
6 290×	`lower-*.f64`
6 290×	`lower-*.f32`
5 472×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	4347
1	742	4227
2	2701	3972
0	8495	3908

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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))
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(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
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(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
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Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))
(* -1 (/ F (* l (PI))))
(/.f64 F (*.f64 l (neg.f64 (PI.f64))))

eval425.0ms (2.2%)

Memory: 11.1MiB live, 413.7MiB allocated
Compiler: Compiled 30 288 to 3 016 computations (90% saved)

prune260.0ms (1.4%)

Memory

-2.7MiB live, 431.3MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 556	9	1 565
Fresh	9	10	19
Picked	2	3	5
Done	0	2	2
Total	1 567	24	1 591

Accuracy

99.5%

Counts

1 591 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
✓	77.0%	(fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (.f64 F F))))
	60.3%	(pow.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	18.3%	(/.f64 (.f64 (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (.f64 F F))
	18.5%	(/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F)))
	22.5%	(/.f64 (PI.f64) (*.f64 (neg.f64 (/.f64 F l)) F))
	76.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	69.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))))
	78.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
	22.4%	(/.f64 #s(literal -1 binary64) (.f64 F (/.f64 F (.f64 (PI.f64) l))))
	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
✓	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) F) (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
	88.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 F (.f64 l l)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 F (PI.f64))) l) F)))
✓	81.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	47.8%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.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)))))
	22.5%	(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
	69.6%	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	16.6%	(.f64 l (-.f64 (/.f64 (.f64 (.f64 l l) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64))) (.f64 F F)) (/.f64 (PI.f64) (.f64 F F))))
	77.9%	(.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
	18.5%	(.f64 l (.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
	18.4%	(.f64 l (neg.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
✓	18.5%	(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
	18.4%	(.f64 l (neg.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (.f64 F F))))))
✓	78.3%	(*.f64 l (PI.f64))

Compiler

Compiled 1 507 to 513 computations (66% saved)

regimes127.0ms (0.7%)

Memory

21.6MiB live, 154.3MiB allocated

Counts

64 → 2

Calls

Call 1

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

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

Calls

6 calls:

28.0ms	l
18.0ms	(/.f64 #s(literal 1 binary64) (*.f64 F F))
17.0ms	(*.f64 (PI.f64) l)
16.0ms	F
15.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
88.5%	1	`F`
99.1%	2	`l`
93.5%	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)`
88.5%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
88.5%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes45.0ms (0.2%)

Memory

1.1MiB live, 40.4MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	2	`l`
99.0%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes48.0ms (0.3%)

Memory

-7.0MiB live, 35.7MiB allocated

Counts

44 → 2

Calls

Call 1

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

Outputs

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

(*.f64 l (PI.f64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`l`
98.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes40.0ms (0.2%)

Memory

-5.2MiB live, 33.4MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

(*.f64 l (PI.f64))

Calls

2 calls:

29.0ms	(*.f64 (PI.f64) l)
10.0ms	l

Results

Accuracy	Segments	Branch
98.3%	2	`l`
98.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes33.0ms (0.2%)

Memory

-14.7MiB live, 23.9MiB allocated

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	l
10.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
98.2%	2	`l`
98.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F))
(*.f64 l (PI.f64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`l`
98.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.1%)

Memory

-23.3MiB live, 15.5MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (PI.f64))

Calls

2 calls:

16.0ms	l
5.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
94.3%	2	`l`
94.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
(/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))

Outputs
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (PI.f64))

Calls

2 calls:

2.0ms	(*.f64 (PI.f64) l)
2.0ms	l

Results

Accuracy	Segments	Branch
94.2%	2	`l`
94.2%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
(/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F)))

Outputs
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F)))
(*.f64 l (PI.f64))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.3%	1	`F`
78.3%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
78.3%	1	`(*.f64 F F)`
87.8%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
78.3%	1	`l`
78.3%	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))

Outputs
(*.f64 l (PI.f64))
(.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F))))
(*.f64 l (PI.f64))

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
87.8%	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)

regimes1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 l (PI.f64))

Outputs
(*.f64 l (PI.f64))

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
78.3%	1	`(-.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)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	13091712757638.215	57871012204689360.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	13091712757638.215	57871012204689360.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	13091712757638.215	57871012204689360.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3496334478699.747	13091712757638.215

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	3496334478699.747	13091712757638.215

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch17.0ms (0.1%)

Memory

-42.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
16.0ms	3496334478699.747	13091712757638.215

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	3496334478699.747	13091712757638.215

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3496334478699.747	13091712757638.215

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.2545565402169e-265	3.0758367113877283e-306
0.0ms	-7.59782632528213e+153	-3.844736405159148e+135

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.2545565402169e-265	3.0758367113877283e-306
0.0ms	-7.59782632528213e+153	-3.844736405159148e+135

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify16.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`*-commutative_binary64`
74×	`sub-neg_binary64`
72×	`+-commutative_binary64`
60×	`neg-sub0_binary64`
58×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	293
1	140	293
2	207	293
3	273	293
4	324	293
5	348	293
6	357	293
7	360	293

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (*.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)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 F (.f64 l l)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 F (PI.f64))) l) F))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (.f64 (PI.f64) l)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 (PI.f64) l))
(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)) (.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)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 (.f64 F (.f64 l l)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 F (PI.f64))) l) F))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (.f64 F (/.f64 (fma.f64 (.f64 F (.f64 l l)) (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (.f64 (PI.f64) (neg.f64 (PI.f64)))) (/.f64 F (PI.f64))) l)))) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (.f64 l (fma.f64 l (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.f64 (PI.f64) F))) (/.f64 #s(literal -1 binary64) F) (.f64 (PI.f64) l)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (.f64 (PI.f64) l)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F) (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) F) F)) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 (PI.f64) l))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 l (PI.f64)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (/.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 F F))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (.f64 l (neg.f64 (/.f64 (PI.f64) (.f64 F F)))) (.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 -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (.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 -7260824748426675/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) (.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.9s (9.9%)

Memory

12.4MiB live, 1 222.3MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
15 364×	`lower-fma.f64`
15 364×	`lower-fma.f32`
8 946×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	27	141
0	51	136
1	216	126
2	1869	124
0	8133	124
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	444	7347
1	1414	6986
2	5366	6672
0	8225	6512
0	37	220
0	71	216
1	273	187
2	2398	187
0	8463	187
0	399	6185
1	1244	6005
2	4549	5760
0	8078	5605
0	239	4347
1	742	4227
2	2701	3972
0	8495	3908

Stop Event

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

Compiler

Compiled 610 to 291 computations (52.3% saved)

preprocess188.0ms (1%)

Memory: -0.9MiB live, 314.5MiB allocated
Remove: (abs F)
Compiler: Compiled 922 to 328 computations (64.4% 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

analyze206.0ms (1.1%)

sample5.0s (26%)

preprocess76.0ms (0.4%)

explain465.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify31.0ms (0.2%)

localize204.0ms (1.1%)

series11.0ms (0.1%)

rewrite544.0ms (2.8%)

simplify500.0ms (2.6%)

eval62.0ms (0.3%)

prune69.0ms (0.4%)

simplify429.0ms (2.2%)

localize340.0ms (1.8%)

series34.0ms (0.2%)

rewrite408.0ms (2.1%)

simplify664.0ms (3.5%)

eval612.0ms (3.2%)

prune426.0ms (2.2%)

simplify204.0ms (1.1%)

localize1.9s (9.8%)

series46.0ms (0.2%)

rewrite316.0ms (1.7%)

simplify364.0ms (1.9%)

eval520.0ms (2.7%)

prune183.0ms (1%)

simplify258.0ms (1.4%)

localize1.0s (5.4%)

series24.0ms (0.1%)

rewrite367.0ms (1.9%)

simplify705.0ms (3.7%)

eval425.0ms (2.2%)

prune260.0ms (1.4%)

regimes127.0ms (0.7%)

regimes45.0ms (0.2%)

regimes48.0ms (0.3%)

regimes40.0ms (0.2%)

regimes33.0ms (0.2%)

regimes11.0ms (0.1%)

regimes21.0ms (0.1%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch17.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify16.0ms (0.1%)

soundness1.9s (9.9%)

preprocess188.0ms (1%)

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