Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze210.0ms (1.2%)

Memory

-10.1MiB live, 265.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample4.7s (26.1%)

Memory

135.5MiB live, 4 502.3MiB allocated

Samples

3.5s	3 810×	1	valid
589.0ms	4 392×	0	valid
252.0ms	54×	2	valid
1.0ms	2×	4	exit

Precisions

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

ival-tan: 3.0s (75.3% of total)

ival-mult: 640.0ms (15.9% of total)

ival-div: 96.0ms (2.4% of total)

adjust: 90.0ms (2.2% of total)

ival-pi: 86.0ms (2.1% of total)

ival-sub: 66.0ms (1.6% of total)

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

exact: 6.0ms (0.1% of total)

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

Bogosity

explain496.0ms (2.8%)

Memory

18.3MiB live, 608.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
125	-	-	`(tan.f64 (*.f64 (PI.f64) l))`
43	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`
1	-	-	`(/.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	125	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	9	0

Confusion

	Predicted +	Predicted -
+	67	0
-	67	122

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	67	0	0
-	67	0	122

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

151.0ms	86×	2	valid
115.0ms	136×	1	valid
85.0ms	20×	3	valid
21.0ms	270×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-tan: 308.0ms (88.4% of total)

ival-mult: 17.0ms (4.9% of total)

adjust: 9.0ms (2.6% of total)

ival-div: 5.0ms (1.4% of total)

ival-pi: 4.0ms (1.1% of total)

ival-sub: 4.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess76.0ms (0.4%)

Memory

3.7MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.1%	(-.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)

simplify40.0ms (0.2%)

Memory

-7.4MiB live, 35.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize269.0ms (1.5%)

Memory

5.5MiB live, 360.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21484375	(*.f64 (PI.f64) l)
accuracy	0.23881278200131695	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	10.517709822912488	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	29.630070337166607	(tan.f64 (*.f64 (PI.f64) l))

Samples

98.0ms	43×	2	valid
91.0ms	68×	1	valid
56.0ms	10×	3	valid
10.0ms	135×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-tan: 209.0ms (85.5% of total)

adjust: 20.0ms (8.2% of total)

ival-mult: 8.0ms (3.3% of total)

ival-div: 3.0ms (1.2% of total)

ival-sub: 3.0ms (1.2% of total)

ival-pi: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

-6.0MiB live, 29.6MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify342.0ms (1.9%)

Memory

-42.2MiB live, 597.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite208.0ms (1.2%)

Memory

11.0MiB live, 328.3MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Counts

6 → 308

Calls

Call 1

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

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

eval77.0ms (0.4%)

Memory: 9.0MiB live, 125.6MiB allocated
Compiler: Compiled 12 853 to 1 239 computations (90.4% saved)

prune337.0ms (1.9%)

Memory

-16.7MiB live, 155.1MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	458	18	476
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	459	18	477

Accuracy

99.6%

Counts

477 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(fma.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
	62.9%	(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))))))
	41.2%	(fma.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 (.f64 l 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))))))
	75.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	75.0%	(/.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)))))
	74.7%	(-.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))))
▶	78.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	78.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	78.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
▶	75.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
	75.1%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
▶	75.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	68.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	73.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	68.5%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
▶	59.0%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.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))))))
	68.6%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	75.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 720 to 396 computations (45% saved)

simplify262.0ms (1.5%)

Memory

20.7MiB live, 216.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	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))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (.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))))))
cost-diff	1024	(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)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 l (PI.f64))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
cost-diff	384	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

Rules

4 992×	`lower-*.f32`
4 982×	`lower-fma.f32`
4 980×	`lower-fma.f64`
4 966×	`lower-*.f64`
2 264×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	382
0	77	374
1	144	362
2	325	350
3	1117	340
4	2449	340
5	2961	340
6	3732	340
7	4141	340
8	6461	340
0	8214	336

Stop Event

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

Calls

Call 1

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

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

localize1.7s (9.6%)

Memory

27.4MiB live, 1 479.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.52734375	(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy	0.52734375	(sqrt.f64 (PI.f64))
accuracy	2.150569107904807	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.2099209222772666	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F)))
accuracy	0.3261198063343324	(tan.f64 (*.f64 (PI.f64) l))
accuracy	2.350891825547406	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.52734375	(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
accuracy	2.119319107904807	(.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))))
accuracy	2.1429827088938525	(/.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) l)) (*.f64 F F))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.109375	(*.f64 l (PI.f64))
accuracy	15.781461478060248	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.109375	(*.f64 (PI.f64) l)
accuracy	0.11328125	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.3261198063343324	(tan.f64 (*.f64 (PI.f64) l))
accuracy	29.303974065626726	(PI.f64)

Samples

1.5s	121×	3	exit
52.0ms	135×	0	valid

Compiler

Compiled 336 to 39 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-tan: 1.4s (89.1% of total)

ival-mult: 69.0ms (4.5% of total)

adjust: 49.0ms (3.2% of total)

ival-div: 19.0ms (1.2% of total)

ival-sqrt: 11.0ms (0.7% of total)

ival-sub: 8.0ms (0.5% of total)

const: 6.0ms (0.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.2%)

Memory

-21.0MiB live, 58.3MiB allocated

Counts

20 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Expression
5.0ms	l	@	(+ (* l (/ (* (PI) (* (* (* (PI) (PI)) 1/3) l)) (* F F))) (/ (PI) (* F F)))
4.0ms	l	@	(* l (+ (* l (/ (* (PI) (* (* (* (PI) (PI)) 1/3) l)) (* F F))) (/ (PI) (* F F))))
1.0ms	F	@	(+ (* l (/ (* (PI) (* (* (* (PI) (PI)) 1/3) l)) (* F F))) (/ (PI) (* F F)))
1.0ms	l	@	(* (/ 1 (tan (* (PI) l))) (* F F))
1.0ms	l	@	(/ (tan (* (PI) l)) F)

simplify284.0ms (1.6%)

Memory

10.9MiB live, 455.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 250×	`lower-fma.f64`
9 250×	`lower-fma.f32`
7 250×	`lower-*.f64`
7 250×	`lower-*.f32`
3 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	6907
1	783	6583
2	2905	6122
0	8059	5958

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

rewrite285.0ms (1.6%)

Memory

-6.1MiB live, 473.6MiB allocated

Rules

5 550×	`lower-*.f32`
5 526×	`lower-*.f64`
3 662×	`lower-fma.f32`
3 660×	`lower-fma.f64`
3 124×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	241
0	77	205
1	277	191
2	2264	191
0	8264	191

Stop Event

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

Counts

20 → 834

Calls

Call 1

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

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

eval333.0ms (1.8%)

Memory: 33.1MiB live, 572.1MiB allocated
Compiler: Compiled 55 076 to 6 009 computations (89.1% saved)

prune338.0ms (1.9%)

Memory

20.6MiB live, 562.9MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 968	14	1 982
Fresh	8	5	13
Picked	3	2	5
Done	0	0	0
Total	1 979	21	2 000

Accuracy

99.6%

Counts

2 000 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(fma.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
	75.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	59.0%	(fma.f64 (PI.f64) l (neg.f64 #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (.f64 l (fma.f64 l (/.f64 (.f64 l (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))))
▶	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
▶	57.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
	78.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	75.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))) (.f64 F F))))
	68.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* (PI) l)) (.f64 l (PI.f64)))) (.f64 F F))))
▶	87.1%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64))))))) l))))
	68.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F F) (.f64 l (PI.f64))))))
✓	75.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	68.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	73.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	68.6%	(-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan ( (PI) l)) F) F) (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
	68.5%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F))))
	54.3%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) #s(approx (* l (+ (* l (/ (* (PI) (* (* (* (PI) (PI)) 1/3) l)) (* F F))) (/ (PI) (* F F)))) (.f64 (fma.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)) (/.f64 l (.f64 F F))))))
▶	68.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	75.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
▶	74.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	74.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	75.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 734 to 438 computations (40.3% saved)

simplify227.0ms (1.3%)

Memory

-9.4MiB live, 366.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F)))) F))
cost-diff	704	(fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F))
cost-diff	0	(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff	0	(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff	0	(.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff	0	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
cost-diff	384	(/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F) F)
cost-diff	0	(PI.f64)
cost-diff	0	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff	0	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
cost-diff	128	(-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (PI.f64) (PI.f64))))))
cost-diff	128	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64))))))) l))))
cost-diff	704	(/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64))))))) l)
cost-diff	1664	(/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64)))

Rules

14 980×	`lower-fma.f32`
14 978×	`lower-fma.f64`
6 214×	`lower-*.f32`
6 180×	`lower-*.f64`
2 042×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	569
0	98	535
1	183	527
2	457	473
3	1686	469
4	5173	461
0	8349	450

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

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

localize1.1s (6.3%)

Memory

6.0MiB live, 1 819.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(/.f64 #s(literal 1/3 binary64) F)
accuracy	0.52734375	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
accuracy	1.3660599676712408	#s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F)) (/.f64 (PI.f64) F))))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.13671875	(.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy	0.52734375	(sqrt.f64 (PI.f64))
accuracy	15.781461478060248	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.109375	(*.f64 l (PI.f64))
accuracy	0.11328125	(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64))) F)
accuracy	1.5929713638720706	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.25698268875593366	(/.f64 (PI.f64) (*.f64 F F))
accuracy	0.4678010066732141	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
accuracy	2.154475357904807	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.52734375	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
accuracy	2.335266825547406	(/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64))))))) l)
accuracy	3.3250593912708504	(.f64 F (.f64 (.f64 l l) (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (PI.f64) (PI.f64)))))
accuracy	29.303974065626726	(PI.f64)

Samples

1.0s	121×	3	exit
47.0ms	135×	0	valid

Compiler

Compiled 400 to 48 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-tan: 859.0ms (83.9% of total)

ival-mult: 61.0ms (6% of total)

adjust: 36.0ms (3.5% of total)

ival-div: 34.0ms (3.3% of total)

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

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

const: 8.0ms (0.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series85.0ms (0.5%)

Memory

1.9MiB live, 121.7MiB allocated

Counts

27 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
51.0ms	l	@	0	(* l (sqrt (sqrt (PI))))
2.0ms	F	@	0	(/ (* F (- (/ F (PI)) (* F (* (* l l) (/ (* (PI) (* (* (PI) (PI)) 1/3)) (* (PI) (PI))))))) l)
1.0ms	F	@	inf	(/ (* F (- (/ F (PI)) (* F (* (* l l) (/ (* (PI) (* (* (PI) (PI)) 1/3)) (* (PI) (PI))))))) l)
1.0ms	l	@	0	(/ (* F (- (/ F (PI)) (* F (* (* l l) (/ (* (PI) (* (* (PI) (PI)) 1/3)) (* (PI) (PI))))))) l)
1.0ms	l	@	inf	(/ (* F (- (/ F (PI)) (* F (* (* l l) (/ (* (PI) (* (* (PI) (PI)) 1/3)) (* (PI) (PI))))))) l)

simplify294.0ms (1.6%)

Memory

28.3MiB live, 372.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 136×	`lower-fma.f64`
13 136×	`lower-fma.f32`
5 768×	`lower-*.f64`
5 768×	`lower-*.f32`
4 408×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	262	6381
1	770	6083
2	2488	5655
0	8082	5497

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

rewrite597.0ms (3.3%)

Memory

-108.9MiB live, 424.0MiB allocated

Rules

6 942×	`lower-*.f32`
6 908×	`lower-*.f64`
4 150×	`lower-/.f32`
4 130×	`lower-/.f64`
3 720×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	346
0	98	318
1	369	296
2	2991	276
0	10355	275

Stop Event

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

Counts

27 → 717

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (.f64 (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (.f64 (PI.f64) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (neg.f64 (.f64 (PI.f64) (neg.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 (/.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 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/3 binary64))
(.f64 (.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/3 binary64) (PI.f64)))
(*.f64 #s(literal 1/3 binary64) (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/3 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 1/3 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (/.f64 (.f64 (PI.f64) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (PI.f64))) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1/3 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 l (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) (neg.f64 l)))
(neg.f64 (/.f64 (.f64 F (neg.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))) l))
(/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) l)
(/.f64 #s(literal 1 binary64) (/.f64 l (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))))
(/.f64 (.f64 F (neg.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))) (neg.f64 l))
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#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
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(.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) l))
(.f64 (.f64 l #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
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(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(fabs.f64 (sqrt.f64 (PI.f64)))
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(sqrt.f64 (PI.f64))
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(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
#s(approx (/ (tan (* (PI) l)) F) (.f64 l (fma.f64 (PI.f64) (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) F) (*.f64 l l)) (/.f64 (PI.f64) F))))
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(pow.f64 (PI.f64) #s(literal 3 binary64))
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eval359.0ms (2%)

Memory: 25.3MiB live, 601.9MiB allocated
Compiler: Compiled 63 529 to 8 887 computations (86% saved)

prune341.0ms (1.9%)

Memory

3.5MiB live, 679.3MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	2 217	12	2 229
Fresh	8	6	14
Picked	2	3	5
Done	0	2	2
Total	2 227	23	2 250

Accuracy

99.6%

Counts

2 250 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(fma.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
	68.6%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
▶	90.4%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) l)))))
	75.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
▶	31.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))))))
✓	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (* (* (PI) (* (PI) (PI))) (/ 1/3 F))) (/ (PI) F)) (/.f64 (PI.f64) F)))) F))
	68.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))))
	75.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))) (.f64 F F))))
▶	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 F (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))))
	51.3%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) #s(approx (/ (* F (- (/ F (PI)) (* F (* (* l l) (/ (* (PI) (* (* (PI) (PI)) 1/3)) (* (PI) (PI))))))) l) (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 F (.f64 F l))))))))
✓	75.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	68.5%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	73.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	68.6%	(-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan ( (PI) l)) F) F) (.f64 (PI.f64) (/.f64 l (.f64 F F)))))
	68.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64))))
▶	68.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
✓	68.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
▶	22.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
	75.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓	74.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	74.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	75.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 700 to 408 computations (41.7% saved)

simplify238.0ms (1.3%)

Memory

-19.7MiB live, 273.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))))))
cost-diff	3648	(/.f64 (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.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 F (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 F (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))))
cost-diff	0	(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
cost-diff	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
cost-diff	384	(/.f64 (/.f64 (PI.f64) F) F)
cost-diff	0	(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
cost-diff	0	#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
cost-diff	0	(.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) l)))))
cost-diff	128	(-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
cost-diff	704	(/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) l)

Rules

6 226×	`lower-fma.f32`
6 222×	`lower-fma.f64`
4 648×	`lower-*.f32`
4 618×	`lower-*.f64`
1 922×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	599
0	94	568
1	163	554
2	356	546
3	1120	501
4	3259	501
5	5123	501
6	7470	501
0	8100	495

Stop Event

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

Calls

Call 1

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

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

localize1.6s (8.8%)

Memory

22.0MiB live, 1 050.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.162287857904807	(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))
accuracy	6.318925008161337	(/.f64 (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F)))
accuracy	14.21037985379765	(/.f64 (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F)))))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.109375	(*.f64 (PI.f64) l)
accuracy	0.2099209222772666	(/.f64 #s(literal 1 binary64) (.f64 F (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))))
accuracy	1.5929713638720708	#s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.109375	(/.f64 (PI.f64) F)
accuracy	0.4678010066732141	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
accuracy	2.154475357904807	(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.4678010066732141	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
accuracy	2.154475357904807	(.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))))
accuracy	17.562986160726474	#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))
accuracy	29.303974065626726	(PI.f64)
accuracy	0.2099209222772666	(/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) l))))
accuracy	0.46707243742111926	#s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 (-.f64 (/.f64 F (PI.f64)) (.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) l)))
accuracy	3.3250593912708504	(.f64 F (.f64 (PI.f64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))
accuracy	29.303974065626726	(PI.f64)

Samples

1.3s	121×	3	exit
174.0ms	135×	0	valid

Compiler

Compiled 430 to 50 computations (88.4% saved)

Precisions

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

ival-tan: 1.0s (76.2% of total)

ival-div: 137.0ms (10% of total)

adjust: 100.0ms (7.3% of total)

ival-mult: 45.0ms (3.3% of total)

ival-sub: 30.0ms (2.2% of total)

const: 6.0ms (0.4% of total)

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

ival-pi: 2.0ms (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)

exact: 0.0ms (0% of total)

series65.0ms (0.4%)

Memory

-32.5MiB live, 79.9MiB allocated

Counts

25 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
8.0ms	l	@	0	(/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F)))))
3.0ms	l	@	0	(/ 1 (/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F))))))
1.0ms	l	@	inf	(/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F)))))
1.0ms	F	@	0	(/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F)))))
1.0ms	l	@	inf	(/ 1 (/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F))))))

simplify332.0ms (1.8%)

Memory

54.6MiB live, 502.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 348×	`lower-fma.f64`
7 348×	`lower-fma.f32`
6 966×	`lower-*.f64`
6 966×	`lower-*.f32`
2 994×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	554	11379
1	1755	10901
2	7099	10786
0	8075	10534

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

rewrite381.0ms (2.1%)

Memory

-12.2MiB live, 634.6MiB allocated

Rules

7 460×	`lower-*.f32`
7 430×	`lower-*.f64`
4 320×	`lower-/.f32`
4 296×	`lower-/.f64`
3 816×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	435
0	94	356
1	378	348
2	2860	348
0	10350	348

Stop Event

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

Counts

25 → 785

Calls

Call 1

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

Outputs
(+.f64 (/.f64 F (.f64 (PI.f64) l)) (neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F l))))
(exp.f64 (.f64 (log.f64 (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F l)))
(fma.f64 F (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l) (neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l))))
(fma.f64 (/.f64 F (PI.f64)) (/.f64 #s(literal 1 binary64) l) (neg.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))) (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) l))
(/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) (neg.f64 l))
(/.f64 (-.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 F (.f64 F F)) (.f64 (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 l (.f64 (PI.f64) l)))) #s(literal 1/27 binary64)))) (.f64 l (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F (PI.f64))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 l (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F (PI.f64)))))
(/.f64 (-.f64 (.f64 (/.f64 F (PI.f64)) l) (.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (*.f64 l l))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 F (.f64 F F)) (.f64 (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 l (.f64 (PI.f64) l)))) #s(literal 1/27 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F (PI.f64))) (/.f64 (.f64 F F) (*.f64 (PI.f64) (PI.f64)))) l))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) #s(literal 1 binary64)) (.f64 (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F (PI.f64))) l))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))))) (neg.f64 (neg.f64 l)))
(/.f64 (-.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))))) (/.f64 (.f64 (.f64 F (.f64 F F)) (.f64 (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 l (.f64 (PI.f64) l)))) #s(literal 1/27 binary64))) (.f64 l (.f64 l l)))) (fma.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l)) (.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F l))))))
(/.f64 (-.f64 (.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 F (.f64 (PI.f64) l))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F l)))) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F l))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))) #s(literal 1 binary64)) l)
(/.f64 (.f64 (-.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 F (.f64 F F)) (.f64 (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 (.f64 l (.f64 (PI.f64) l)) (.f64 l (.f64 (PI.f64) l)))) #s(literal 1/27 binary64)))) (/.f64 #s(literal 1 binary64) l)) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (/.f64 F (PI.f64))) (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (/.f64 #s(literal 1 binary64) l)) (fma.f64 F (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (/.f64 F (PI.f64))))
(/.f64 (-.f64 (neg.f64 (/.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F))) (neg.f64 l))
(/.f64 (-.f64 (.f64 F l) (.f64 (.f64 (PI.f64) l) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 l (*.f64 (PI.f64) l)))
(/.f64 (-.f64 (.f64 F (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (.f64 (PI.f64) l) #s(literal 1 binary64))) (.f64 (.f64 (PI.f64) l) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 F (neg.f64 l)) (.f64 (.f64 (PI.f64) l) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (.f64 (*.f64 (PI.f64) l) (neg.f64 l)))
(/.f64 (-.f64 (.f64 (/.f64 F (PI.f64)) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 l #s(literal 1 binary64))) (.f64 l (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 (/.f64 F (PI.f64)) (neg.f64 l)) (.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (*.f64 l (neg.f64 l)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) l) (.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (*.f64 (/.f64 l (/.f64 F (PI.f64))) l))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (/.f64 l (/.f64 F (PI.f64))) #s(literal 1 binary64))) (.f64 (/.f64 l (/.f64 F (PI.f64))) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 l)) (.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (*.f64 (/.f64 l (/.f64 F (PI.f64))) (neg.f64 l)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) l) (.f64 (.f64 l (/.f64 (PI.f64) F)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (*.f64 l (/.f64 (PI.f64) F)) l))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (.f64 l (/.f64 (PI.f64) F)) #s(literal 1 binary64))) (.f64 (.f64 l (/.f64 (PI.f64) F)) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 l)) (.f64 (.f64 l (/.f64 (PI.f64) F)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (neg.f64 l)))
(/.f64 (-.f64 (.f64 (neg.f64 F) l) (.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (*.f64 l (neg.f64 (PI.f64))) l))
(/.f64 (-.f64 (.f64 (neg.f64 F) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (.f64 l (neg.f64 (PI.f64))) #s(literal 1 binary64))) (.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 (neg.f64 F) (neg.f64 l)) (.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (.f64 (*.f64 l (neg.f64 (PI.f64))) (neg.f64 l)))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 F (PI.f64))) l) (.f64 (neg.f64 l) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (*.f64 (neg.f64 l) l))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 F (PI.f64))) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 F (PI.f64))))) (.f64 (neg.f64 l) #s(literal 1 binary64))) (.f64 (neg.f64 l) (/.f64 l (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (*.f64 F (PI.f64))))))
(/.f64 (-.f64 (.f64 (neg.f64 (/.f64 F (PI.f64))) (neg.f64 l)) (.f64 (neg.f64 l) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F)))) (*.f64 (neg.f64 l) (neg.f64 l)))
(pow.f64 (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 l (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))) (/.f64 #s(literal 1 binary64) l))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))) l))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64)))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) l) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l (.f64 (PI.f64) l))) (neg.f64 F) (/.f64 F (PI.f64))))
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(.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F (.f64 F F)))))
(.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 2 binary64)))
(.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (.f64 F (.f64 F F))))) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (neg.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)))) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 F) (.f64 F (.f64 F F)))))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) F) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (*.f64 F F))))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) F) (pow.f64 (/.f64 (.f64 F (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F (.f64 F F)))) (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F (.f64 F F)))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F (.f64 F F)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))) (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (.f64 F (.f64 F F)))) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F F))) (pow.f64 (/.f64 F (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (.f64 F F))) (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))
(.f64 (.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F)) #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (pow.f64 (/.f64 F #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (pow.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (pow.f64 (/.f64 F #s(literal 1 binary64)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(literal 2 binary64)) (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 F (.f64 F (.f64 F F)))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))))
(.f64 (pow.f64 (/.f64 (.f64 F (.f64 F F)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))
(exp.f64 (log.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))))
(neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 F (neg.f64 F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 F (neg.f64 F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)))
(/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F F))
(/.f64 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (.f64 F (neg.f64 F)))
(/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (/.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 F F))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)))) (.f64 F (neg.f64 F)))
(/.f64 (.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) #s(literal 1 binary64)) (.f64 F F))
(/.f64 (neg.f64 (neg.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)))) (.f64 F F))
(/.f64 (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) F)) (neg.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (neg.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) F) (neg.f64 F))
(pow.f64 (/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 F (.f64 F (.f64 F F))) (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (/.f64 (.f64 F (neg.f64 F)) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 F #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 F F) #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F F)))
(.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l)) (.f64 F F)) #s(literal 1 binary64))
(.f64 (neg.f64 #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (.f64 F F)))
(.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))
(.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (/.f64 F #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (neg.f64 #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (.f64 F F)))
(.f64 (pow.f64 (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 F F) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(approx (tan ( (PI) l)) (*.f64 (PI.f64) l)) F))

eval413.0ms (2.3%)

Memory: 17.7MiB live, 602.8MiB allocated
Compiler: Compiled 65 779 to 5 483 computations (91.7% saved)

prune562.0ms (3.1%)

Memory

-37.8MiB live, 575.4MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1 943	12	1 955
Fresh	5	8	13
Picked	4	1	5
Done	0	5	5
Total	1 952	26	1 978

Accuracy

99.6%

Counts

1 978 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.2%	(fma.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
	68.6%	(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
	68.6%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F F) (.f64 (PI.f64) l)))))
	71.8%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F #s(approx (/ (- (/ F (PI)) ( F (* (PI) (* 1/3 (* l l))))) l) (/.f64 F (*.f64 (PI.f64) l)))))))
	51.3%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F #s(approx (/ (- (/ F (PI)) ( F (* (PI) (* 1/3 (* l l))))) l) (.f64 (.f64 l (*.f64 F #s(literal -1/3 binary64))) (PI.f64)))))))
	75.1%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	68.6%	(fma.f64 (PI.f64) l #s(approx (/ -1 (* (/ 1 (tan (* (PI) l))) (* F F))) (neg.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))))))
	68.5%	(fma.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)) (*.f64 (PI.f64) l))
	30.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) (-.f64 (.f64 (PI.f64) (.f64 l (.f64 (PI.f64) l))) (/.f64 (.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) #s(approx (tan ( (PI) l)) (.f64 (PI.f64) l))) (.f64 (.f64 F F) (.f64 F F))))))
	75.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (PI) l) (/ (tan (* (PI) l)) (* F F))) (- (* (PI) (* l (* (PI) l))) (/ (* (tan (* (PI) l)) (tan (* (PI) l))) (* (* F F) (* F F))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
✓	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
	71.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (* (* (PI) (* (PI) (PI))) (/ 1/3 F))) (/ (PI) F)) (/.f64 (PI.f64) F)))) F))
	75.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))) (.f64 F F))))
✓	75.0%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
	73.9%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
✓	68.6%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
	47.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (/.f64 (.f64 (PI.f64) (fma.f64 F F #s(literal -1 binary64))) (*.f64 F F)))))
	22.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (/.f64 (PI.f64) (neg.f64 F)) F))))
✓	22.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (*.f64 F (neg.f64 F))))))
	22.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64)))))
	40.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (/ (PI) F) F))) (/.f64 (.f64 (.f64 (PI.f64) l) (fma.f64 F F #s(literal -1 binary64))) (*.f64 F F))))
	22.2%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (/ (PI) F) F))) (neg.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))))))
	75.0%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓	74.9%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
	74.5%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓	75.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 1 356 to 458 computations (66.2% saved)

regimes94.0ms (0.5%)

Memory

16.6MiB live, 213.1MiB allocated

Counts

57 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
90.4%	1	`F`
99.3%	2	`l`
94.8%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
99.3%	2	`(*.f64 (PI.f64) l)`
90.4%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
90.4%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-13.5MiB live, 45.9MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms	(*.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)

regimes14.0ms (0.1%)

Memory

-10.5MiB live, 28.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.7%	2	`l`
95.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	(*.f64 (PI.f64) l)
3.0ms	l

Results

Accuracy	Segments	Branch
95.7%	2	`l`
95.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-12.2MiB live, 27.0MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

6 calls:

3.0ms	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 (PI.f64) l)
2.0ms	(*.f64 F F)

Results

Accuracy	Segments	Branch
75.1%	1	`F`
75.1%	1	`(*.f64 F F)`
75.1%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
87.2%	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
75.1%	1	`l`
75.1%	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
87.1%	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)

regimes4.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.1%	1	`l`
75.1%	1	`(*.f64 (PI.f64) l)`
75.1%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	91139038757.12712	284710615131387900.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8884799.110191898	91139038757.12712

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8884799.110191898	91139038757.12712

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	8884799.110191898	91139038757.12712

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.5125593539823946e-200	3.6294949176617954e-302
0.0ms	-4.9455808638991494e+197	-3.235974826526406e+189

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.5125593539823946e-200	3.6294949176617954e-302
0.0ms	-4.9455808638991494e+197	-3.235974826526406e+189

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify14.0ms (0.1%)

Memory

-9.6MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Rules

94×	`neg-mul-1_binary64`
82×	`unsub-neg_binary64`
48×	`*-commutative_binary64`
42×	`+-commutative_binary64`
42×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	406
1	113	406
2	162	406
3	194	406
4	215	406
5	282	406
6	384	406

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 100000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (* (* (PI) (* (PI) (PI))) (/ 1/3 F))) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan (* (PI) l)) F) F) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (PI.f64))) (if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (.f64 F (neg.f64 F)))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (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 -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (PI.f64))) (if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (/ (PI) F) F))) (neg.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 100000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 100000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (* (* (PI) (* (PI) (PI))) (/ 1/3 F))) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l #s(approx (+ ( (* l l) (* (* (PI) (* (PI) (PI))) (/ 1/3 F))) (/ (PI) F)) (/.f64 (PI.f64) F)))) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan (* (PI) l)) F) F) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (/ (/ (tan (* (PI) l)) F) F) (.f64 l (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 10000000 binary64)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (PI.f64))) (if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (.f64 F (neg.f64 F)))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (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 -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (PI.f64) l)) (if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l #s(approx (- (PI) (/ (PI) ( F F))) (/.f64 (PI.f64) (.f64 F (neg.f64 F)))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (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 -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 l (PI.f64))) (if (<=.f64 (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (/ (PI) F) F))) (neg.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
(if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -399999999999999980457316985569405282135566418447448667978663355622940468949998367331135515566893609123835017950685530268277930130022099723705429437051058159750814661534937000031089461529163448975360 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (.f64 (PI.f64) l)) (if (<=.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (.f64 F F)))) #s(literal -1723641332219371/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (/ (PI) F) F))) (.f64 (PI.f64) (/.f64 l (.f64 F (neg.f64 F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

soundness1.0s (5.7%)

Memory

12.5MiB live, 1 079.9MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
13 136×	`lower-fma.f64`
13 136×	`lower-fma.f32`
9 250×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	262	6907
1	783	6583
2	2905	6122
0	8059	5958
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	554	11379
1	1755	10901
2	7099	10786
0	8075	10534
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	58	346
0	98	318
1	369	296
2	2991	276
0	10355	275
0	262	6381
1	770	6083
2	2488	5655
0	8082	5497

Stop Event

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

Compiler

Compiled 438 to 181 computations (58.7% saved)

preprocess148.0ms (0.8%)

Memory: -20.2MiB live, 333.8MiB allocated
Remove: (abs F)
Compiler: Compiled 714 to 240 computations (66.4% 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

start0.0ms (0%)

analyze210.0ms (1.2%)

sample4.7s (26.1%)

explain496.0ms (2.8%)

preprocess76.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.2%)

localize269.0ms (1.5%)

series19.0ms (0.1%)

simplify342.0ms (1.9%)

rewrite208.0ms (1.2%)

eval77.0ms (0.4%)

prune337.0ms (1.9%)

simplify262.0ms (1.5%)

localize1.7s (9.6%)

series40.0ms (0.2%)

simplify284.0ms (1.6%)

rewrite285.0ms (1.6%)

eval333.0ms (1.8%)

prune338.0ms (1.9%)

simplify227.0ms (1.3%)

localize1.1s (6.3%)

series85.0ms (0.5%)

simplify294.0ms (1.6%)

rewrite597.0ms (3.3%)

eval359.0ms (2%)

prune341.0ms (1.9%)

simplify238.0ms (1.3%)

localize1.6s (8.8%)

series65.0ms (0.4%)

simplify332.0ms (1.8%)

rewrite381.0ms (2.1%)

eval413.0ms (2.3%)

prune562.0ms (3.1%)

regimes94.0ms (0.5%)

regimes34.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.0s (5.7%)

preprocess148.0ms (0.8%)

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