Metrics for VandenBroeck and Keller, Equation (6)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze211.0ms (1.1%)

Memory

-8.5MiB live, 267.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample5.1s (27%)

Memory

130.2MiB live, 4 589.4MiB allocated

Samples

3.9s	3 783×	1	valid
531.0ms	4 398×	0	valid
209.0ms	75×	2	valid
1.0ms	2×	4	exit

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-tan: 3.4s (81.5% of total)

ival-mult: 495.0ms (12% of total)

ival-div: 85.0ms (2.1% of total)

adjust: 58.0ms (1.4% of total)

ival-sub: 56.0ms (1.4% of total)

ival-pi: 55.0ms (1.3% of total)

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

exact: 6.0ms (0.1% of total)

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

Bogosity

explain563.0ms (3%)

Memory

29.8MiB live, 696.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`tan.f64`	`(tan.f64 (*.f64 (PI.f64) l))`	sensitivity	122	0
`*.f64`	`(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))`	*no**	15	0

Confusion

	Predicted +	Predicted -
+	65	0
-	72	119

Precision

0.4744525547445255

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	72	0	119

Precision?

0.4744525547445255

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

199.0ms	146×	1	valid
135.0ms	78×	2	valid
67.0ms	16×	3	valid
21.0ms	272×	0	valid

Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 398.0ms

ival-tan: 355.0ms (89.1% of total)

ival-mult: 23.0ms (5.8% of total)

adjust: 5.0ms (1.3% of total)

ival-div: 5.0ms (1.3% of total)

ival-pi: 5.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

preprocess95.0ms (0.5%)

Memory

-14.4MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(-.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)

simplify36.0ms (0.2%)

Memory

-9.3MiB live, 37.0MiB 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))

localize217.0ms (1.2%)

Memory

1.0MiB live, 276.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(*.f64 (PI.f64) l)
accuracy	0.43220927828890715	(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy	12.187298118737452	(.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy	29.094873343656847	(tan.f64 (*.f64 (PI.f64) l))

Samples

88.0ms	39×	2	valid
75.0ms	73×	1	valid
31.0ms	8×	3	valid
11.0ms	136×	0	valid

Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-tan: 167.0ms (86.9% of total)

ival-mult: 16.0ms (8.3% of total)

adjust: 3.0ms (1.6% of total)

ival-div: 3.0ms (1.6% of total)

ival-pi: 2.0ms (1% of total)

ival-sub: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB 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>) () ())) ())
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#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
2.0ms	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	@	-inf	(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms	l	@	0	(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

simplify387.0ms (2.1%)

Memory

-21.1MiB live, 525.0MiB 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))

rewrite462.0ms (2.5%)

Memory

-22.4MiB live, 365.3MiB 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))

eval64.0ms (0.3%)

Memory: 17.7MiB live, 169.7MiB allocated
Compiler: Compiled 12 853 to 1 239 computations (90.4% saved)

prune196.0ms (1%)

Memory

8.2MiB live, 182.8MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

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

Accuracy

99.2%

Counts

477 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
	76.6%	(fma.f64 (.f64 (.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
▶	76.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	76.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	76.1%	(-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	81.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	81.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
	81.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
	76.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	81.8%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
▶	76.7%	(-.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))))
▶	76.2%	(-.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))))
	68.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64)))))
	75.4%	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (.f64 (PI.f64) l))))
	68.9%	(-.f64 (.f64 (PI.f64) l) #s(approx ( (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (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)))))
▶	72.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 562 to 350 computations (37.7% saved)

simplify92.0ms (0.5%)

Memory

-12.5MiB live, 103.7MiB 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	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
cost-diff	0	(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
cost-diff	0	(PI.f64)
cost-diff	0	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.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

864×	`lower-fma.f32`
862×	`lower-fma.f64`
704×	`lower-*.f32`
688×	`lower-*.f64`
454×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	260
0	62	252
1	108	244
2	201	244
3	479	244
4	784	244
5	908	244
6	1025	244
7	1313	244
8	1827	244
9	2034	244
10	2408	244
11	2432	244
12	2452	244
13	2460	244
14	2460	244
0	2460	244

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize1.6s (8.4%)

Memory

19.2MiB live, 1 448.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.54296875	(sqrt.f64 (PI.f64))
accuracy	0.7596030481762358	(tan.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
accuracy	3.5740650297589567	(.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	28.33524765023406	(PI.f64)
accuracy	0.29279733533663305	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F)))
accuracy	0.7596030481762357	(tan.f64 (*.f64 (PI.f64) l))
accuracy	3.4042570072279204	(.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.7596030481762357	(tan.f64 (*.f64 (PI.f64) l))
accuracy	3.3844674634512235	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.140625	(*.f64 l (PI.f64))
accuracy	17.637669901398496	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.13671875	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.7596030481762357	(tan.f64 (*.f64 (PI.f64) l))
accuracy	28.33524765023406	(PI.f64)

Samples

1.4s	117×	3	exit
67.0ms	136×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 259 to 32 computations (87.6% saved)

Precisions

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

ival-tan: 1.2s (88.4% of total)

ival-mult: 88.0ms (6.4% of total)

adjust: 18.0ms (1.3% of total)

ival-sub: 18.0ms (1.3% of total)

ival-div: 16.0ms (1.2% of total)

ival-sqrt: 13.0ms (0.9% of total)

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

ival-neg: 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)

series41.0ms (0.2%)

Memory

-0.5MiB live, 35.6MiB allocated

Counts

18 → 336

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 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (patch (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (patch (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) #<representation binary64>) () ())
#s(alt (/.f64 #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 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (patch (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())

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

Calls

84 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(* (/ 1 (tan (* (PI) l))) (* F F))
1.0ms	l	@	0	(/ (tan (* (PI) l)) F)
1.0ms	l	@	inf	(* (/ 1 (tan (* (PI) l))) (* F F))
1.0ms	l	@	-inf	(* (/ 1 (tan (* (PI) l))) (* F F))
0.0ms	F	@	0	(* (/ 1 (tan (* (PI) l))) (* F F))

simplify464.0ms (2.5%)

Memory

0.6MiB live, 409.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 348×	`lower-fma.f64`
12 348×	`lower-fma.f32`
6 408×	`lower-*.f64`
6 408×	`lower-*.f32`
5 302×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	7068
1	700	6672
2	2520	6135
0	8088	5983

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

Outputs
(/ (* l (PI)) (pow F 2))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/.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))))

rewrite386.0ms (2.1%)

Memory

18.0MiB live, 362.3MiB allocated

Rules

6 336×	`lower-fma.f32`
6 334×	`lower-fma.f64`
4 776×	`lower-*.f32`
4 762×	`lower-*.f64`
4 232×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	176
0	62	138
1	224	136
2	1628	136
0	8439	136

Stop Event

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

Counts

18 → 967

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

eval292.0ms (1.6%)

Memory: 17.8MiB live, 564.7MiB allocated
Compiler: Compiled 44 734 to 4 138 computations (90.7% saved)

prune270.0ms (1.4%)

Memory

-28.3MiB live, 532.5MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 995	13	2 008
Fresh	10	2	12
Picked	3	2	5
Done	0	0	0
Total	2 008	17	2 025

Accuracy

99.3%

Counts

2 025 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
	76.7%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
	76.5%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	76.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	68.9%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) (.f64 F F))))
	81.7%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan ( (PI) l)) (*.f64 l (PI.f64))) F) F))
▶	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F))) F))
▶	68.9%	(-.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))))
▶	83.2%	(-.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 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (PI.f64) (PI.f64)))))) l))))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 F (.f64 l (PI.f64)))))))
	68.6%	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) #s(approx (tan ( (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) (*.f64 l (PI.f64)))))
	75.4%	(-.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)))))
	72.1%	#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)))))
	71.7%	#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))))))
✓	72.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 532 to 327 computations (38.5% saved)

simplify255.0ms (1.4%)

Memory

30.0MiB live, 375.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 (*.f64 (PI.f64) l))
cost-diff	0	(*.f64 F F)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.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) #s(approx (tan (* (PI) l)) (.f64 l (PI.f64)))) (.f64 F F))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64)))) (.f64 F F))
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64)))) (.f64 F F)))
cost-diff	0	(/.f64 #s(approx (/ (tan (* (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F))) F)
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	0	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (*.f64 l (/.f64 (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 (.f64 l l) (.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 (.f64 l l) (.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 (.f64 l l) (.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 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (PI.f64) (PI.f64)))

Rules

14 720×	`lower-fma.f32`
14 718×	`lower-fma.f64`
5 922×	`lower-*.f32`
5 896×	`lower-*.f64`
1 610×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	477
0	83	476
1	148	440
2	364	408
3	1418	392
4	5198	384
0	8049	377

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

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

localize1.1s (5.7%)

Memory

-17.0MiB live, 1 661.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.24030294744808378	(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy	0.7596030481762358	(tan.f64 (*.f64 (PI.f64) l))
accuracy	3.5545337797589567	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.29279733533663305	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64)))) (.f64 F F)))
accuracy	2.169711080008485	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	3.4042570072279204	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64)))) (.f64 F F))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.15625	(/.f64 (PI.f64) F)
accuracy	2.1669091491338053	#s(approx (/ (tan (* (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F)))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.27903719488558076	(/.f64 (PI.f64) (*.f64 F F))
accuracy	1.2058271159701774	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))))
accuracy	3.6092212797589567	(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
accuracy	28.33524765023406	(PI.f64)
accuracy	1.3869306652616895	#s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (/.f64 (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (PI.f64) (PI.f64)))))) l))
accuracy	3.3887801010285536	(/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) (.f64 F (/.f64 (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (.f64 (PI.f64) (PI.f64)))))) l)
accuracy	4.950330520932537	(.f64 F (/.f64 (.f64 (.f64 l l) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (*.f64 (PI.f64) (PI.f64))))
accuracy	28.33524765023406	(PI.f64)

Samples

956.0ms	117×	3	exit
44.0ms	139×	0	valid

Compiler

Compiled 354 to 38 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 960.0ms

ival-tan: 852.0ms (88.8% of total)

ival-mult: 42.0ms (4.4% of total)

ival-div: 30.0ms (3.1% of total)

adjust: 16.0ms (1.7% of total)

ival-sub: 8.0ms (0.8% of total)

const: 6.0ms (0.6% of total)

ival-pi: 3.0ms (0.3% 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)

series39.0ms (0.2%)

Memory

19.6MiB live, 56.7MiB allocated

Counts

24 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(/ (* F (- (/ F (PI)) (* F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))))) l)
3.0ms	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	@	inf	(/ (* F (- (/ F (PI)) (* F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))))) l)
1.0ms	l	@	0	(* l (- (PI) (/ (PI) (* F F))))

simplify297.0ms (1.6%)

Memory

14.8MiB live, 393.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`lower-fma.f64`
11 038×	`lower-fma.f32`
7 804×	`lower-*.f64`
7 804×	`lower-*.f32`
4 420×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	306	7596
1	945	7292
2	3322	7029
0	9005	6823

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
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Outputs
(* 1/3 (* (pow l 2) (PI)))
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(* 1/3 (* (pow l 2) (PI)))
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(/ (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))))

rewrite606.0ms (3.2%)

Memory

-99.6MiB live, 439.0MiB allocated

Rules

5 768×	`lower-*.f32`
5 742×	`lower-*.f64`
3 752×	`lower-/.f32`
3 732×	`lower-/.f64`
2 764×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	333
0	83	332
1	317	305
2	2641	293
0	8787	292

Stop Event

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

Counts

24 → 708

Calls

Call 1

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

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

eval278.0ms (1.5%)

Memory: 8.1MiB live, 551.4MiB allocated
Compiler: Compiled 53 460 to 6 529 computations (87.8% saved)

prune244.0ms (1.3%)

Memory

41.3MiB live, 589.8MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1 895	13	1 908
Fresh	4	6	10
Picked	1	4	5
Done	0	2	2
Total	1 900	25	1 925

Accuracy

99.3%

Counts

1 925 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
▶	68.6%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 (PI.f64) l))
	74.0%	(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* (PI) l)) F) (/.f64 (*.f64 l (PI.f64)) F)) (neg.f64 F)))
	76.7%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
	76.5%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	76.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) F))) F))
✓	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (*.f64 l (/.f64 (PI.f64) F))) F))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))))) F))
▶	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)))) F))
✓	68.9%	(-.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))))
▶	83.2%	(-.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)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (.f64 (.f64 l l) F)))))) l))))
	80.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (/.f64 (-.f64 F (.f64 F (.f64 (.f64 l l) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) (PI.f64)) (.f64 F (/.f64 #s(literal 1 binary64) l))))))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 F (/.f64 F (.f64 l (PI.f64)))))))
▶	47.0%	(-.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 l (fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 l (.f64 l (PI.f64))))))))))
	49.2%	(-.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 l (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 F F))))))))
	75.4%	(-.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 (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64))))
	68.6%	#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)))))
	22.1%	#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))))))
▶	22.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))))
	72.1%	#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)))))
	71.7%	#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))))))
✓	72.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 749 to 456 computations (39.1% saved)

simplify265.0ms (1.4%)

Memory

-6.7MiB live, 356.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (PI.f64) l)
cost-diff	128	(-.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 l (fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 l (.f64 l (PI.f64))))))))))
cost-diff	320	(fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 l (*.f64 l (PI.f64)))))
cost-diff	320	(.f64 l (fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 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 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)))) F))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64))
cost-diff	0	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
cost-diff	0	(*.f64 F F)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 (PI.f64) l))
cost-diff	0	(*.f64 l (neg.f64 (PI.f64)))
cost-diff	0	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
cost-diff	0	#s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)))
cost-diff	0	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (.f64 (.f64 l l) F)))))) l)))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) l)
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)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (.f64 (.f64 l l) F)))))) l))))

Rules

15 312×	`lower-fma.f32`
15 308×	`lower-fma.f64`
5 746×	`lower-*.f32`
5 718×	`lower-*.f64`
2 710×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	775
0	107	783
1	223	737
2	564	659
3	2417	648
4	4619	648
5	7773	648
0	8019	636

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

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

localize1.3s (6.7%)

Memory

6.5MiB live, 1 383.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.882509644633373	(.f64 l (fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 l (.f64 l (PI.f64))))))
accuracy	7.433591685830207	(fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 l (*.f64 l (PI.f64)))))
accuracy	7.955900071690532	(/.f64 (.f64 F F) (.f64 l (*.f64 l (PI.f64))))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.140625	(*.f64 (PI.f64) l)
accuracy	0.221035009768442	(*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64))
accuracy	2.1669091491338053	#s(approx (/ (tan (* (PI) l)) F) (.f64 l (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64))))
accuracy	28.33524765023406	(PI.f64)
accuracy	0.24030294744808378	(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy	2.169711080008485	#s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))
accuracy	3.5545337797589567	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) #s(approx (tan ( (PI) l)) (.f64 l (PI.f64))) (.f64 (PI.f64) l))
accuracy	28.33524765023406	(PI.f64)
accuracy	1.2058271159701774	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))))
accuracy	3.3922799634512235	(/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))
accuracy	16.153642799804153	#s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F)))
accuracy	28.33524765023406	(PI.f64)
accuracy	1.3869306652616895	#s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (.f64 (.f64 l l) F)))))) l))
accuracy	3.3887801010285536	(/.f64 (.f64 F (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 #s(literal 1/3 binary64) (.f64 (PI.f64) (.f64 (.f64 l l) F)))))) l)
accuracy	4.947300247631999	(.f64 (.f64 l l) F)
accuracy	28.33524765023406	(PI.f64)

Samples

1.0s	117×	3	exit
63.0ms	139×	0	valid

Compiler

Compiled 418 to 52 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 996.0ms

ival-tan: 834.0ms (83.7% of total)

ival-mult: 59.0ms (5.9% of total)

ival-div: 56.0ms (5.6% of total)

adjust: 19.0ms (1.9% of total)

const: 11.0ms (1.1% of total)

ival-sub: 8.0ms (0.8% of total)

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

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

ival-neg: 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)

series32.0ms (0.2%)

Memory

22.2MiB live, 60.1MiB allocated

Counts

22 → 432

Calls

Call 1

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

Calls

108 calls:

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

simplify418.0ms (2.2%)

Memory

-31.4MiB live, 471.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 208×	`lower-fma.f64`
11 208×	`lower-fma.f32`
7 774×	`lower-*.f64`
7 774×	`lower-*.f32`
4 440×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	300	6863
1	929	6597
2	3307	6278
0	8994	6095

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

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

rewrite576.0ms (3.1%)

Memory

-25.9MiB live, 421.7MiB allocated

Rules

7 472×	`lower-*.f32`
7 444×	`lower-*.f64`
4 416×	`lower-/.f32`
4 398×	`lower-/.f64`
4 142×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	427
0	107	421
1	423	401
2	3380	391
0	10642	389

Stop Event

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

Counts

22 → 441

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

Outputs
(+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(+.f64 (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))) (*.f64 (PI.f64) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 l (.f64 l l))) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))) (fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))))) (/.f64 (pow.f64 #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l))) #s(literal -3 binary64)) (fma.f64 (PI.f64) (.f64 (PI.f64) (.f64 l l)) (.f64 (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))) (fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))))))
(-.f64 (/.f64 (.f64 l (.f64 (PI.f64) (.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l))) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l))))) (fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(fma.f64 l (PI.f64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(fma.f64 l (neg.f64 (neg.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(fma.f64 #s(literal 1 binary64) (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))) (*.f64 (PI.f64) l))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 l) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (.f64 l (neg.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (-.f64 (/.f64 F (PI.f64)) #s(approx ( F (/ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (* (PI) (PI)))) (.f64 (PI.f64) (.f64 (.f64 l (.f64 l F)) #s(literal 1/3 binary64))))) (/.f64 F l)))))
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eval291.0ms (1.6%)

Memory: 20.3MiB live, 208.5MiB allocated
Compiler: Compiled 39 229 to 3 371 computations (91.4% saved)

prune910.0ms (4.9%)

Memory

13.4MiB live, 259.6MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 464	9	1 473
Fresh	5	9	14
Picked	3	2	5
Done	2	4	6
Total	1 474	24	1 498

Accuracy

99.3%

Counts

1 498 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
	76.7%	(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
	47.0%	(fma.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 l (fma.f64 (PI.f64) (.f64 (.f64 F F) #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (.f64 l l)))))))))
	76.5%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (.f64 F F))))
✓	76.7%	(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 F (PI.f64))))) F))
✓	74.0%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan ( (PI) l)) F) (.f64 l (.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)))) F))
	80.5%	(-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx ( (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (/.f64 (-.f64 F (.f64 F (.f64 (.f64 l l) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) (PI.f64)) (.f64 F (/.f64 #s(literal 1 binary64) l))))))
	69.4%	(-.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 (.f64 F F) (fma.f64 l (.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 l (.f64 l (*.f64 l (PI.f64))))))))))
	47.0%	(-.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 l (fma.f64 (.f64 (.f64 (.f64 F F) #s(literal -1/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (*.f64 l l)))))))))
	58.8%	(-.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 l (fma.f64 (.f64 (PI.f64) F) (.f64 F #s(literal -1/3 binary64)) (/.f64 (.f64 F F) (.f64 (PI.f64) (.f64 l l)))))))))
	49.2%	(-.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 l (.f64 #s(literal -1/3 binary64) (.f64 (PI.f64) (.f64 F F))))))))
	75.4%	(-.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)))))
	22.1%	#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))))))
	27.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
	27.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (*.f64 (/.f64 l F) (neg.f64 (PI.f64))) F)))
✓	22.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 F F))))
	27.5%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
	22.3%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (neg.f64 (PI.f64)) (/.f64 l (.f64 F F)))))
	22.1%	#s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 #s(literal 1 binary64) (*.f64 F F))))))
	72.1%	#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)))))
	71.7%	#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))))))
✓	72.1%	#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

Compiler

Compiled 1 241 to 446 computations (64.1% saved)

regimes146.0ms (0.8%)

Memory

-12.9MiB live, 116.5MiB allocated

Counts

53 → 2

Calls

Call 1

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

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:

50.0ms	l
30.0ms	(*.f64 (PI.f64) l)
21.0ms	(*.f64 F F)
14.0ms	F
14.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
83.2%	1	`F`
98.8%	2	`l`
92.5%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
98.8%	2	`(*.f64 (PI.f64) l)`
83.2%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
83.2%	1	`(*.f64 F F)`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes50.0ms (0.3%)

Memory

-8.4MiB live, 31.1MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

37.0ms	(*.f64 (PI.f64) l)
11.0ms	l

Results

Accuracy	Segments	Branch
97.7%	2	`l`
97.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes63.0ms (0.3%)

Memory

-8.1MiB live, 31.4MiB allocated

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

52.0ms	l
10.0ms	(*.f64 (PI.f64) l)

Results

Accuracy	Segments	Branch
97.7%	2	`l`
97.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.7%	2	`l`
97.7%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.5%	2	`l`
92.5%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.2%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
92.3%	2	`l`
92.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes6.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
92.3%	2	`l`
92.3%	2	`(*.f64 (PI.f64) l)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes53.0ms (0.3%)

Memory

-32.2MiB live, 7.3MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

48.0ms	l
2.0ms	(*.f64 (PI.f64) l)
2.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Accuracy	Segments	Branch
86.1%	2	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
72.1%	1	`l`
72.1%	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes5.0ms (0%)

Memory

6.1MiB live, 6.1MiB 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

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

Results

Accuracy	Segments	Branch
72.1%	1	`(*.f64 F F)`
72.1%	1	`F`
72.1%	1	`(/.f64 #s(literal 1 binary64) (*.f64 F F))`
72.1%	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 #s(literal 1 binary64) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	903905133431487.1	2780841839962028.5

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	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2780841839962028.5	12942690309701912.0

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-3.3527379369468115e-220	3.2650997421879e-309

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify15.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`*-commutative_binary64`
70×	`sub-neg_binary64`
68×	`+-commutative_binary64`
54×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	405
1	129	405
2	193	405
3	252	405
4	303	405
5	324	405
6	332	405
7	334	405

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 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 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (/.f64 (-.f64 F (.f64 F (.f64 (.f64 l l) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) (PI.f64)) (.f64 F (/.f64 #s(literal 1 binary64) l)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (/.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 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 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 -5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (neg.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 5000000000000000 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 5000000000000000 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 1000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (/.f64 (-.f64 F (.f64 F (.f64 (.f64 l l) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))) (PI.f64)) (.f64 F (/.f64 #s(literal 1 binary64) l)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 1000000000000000 binary64)) (+.f64 (.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) #s(approx (* (/ 1 (tan (* (PI) l))) (* F F)) (.f64 (/.f64 (-.f64 F (.f64 F (.f64 (.f64 l l) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))))) (PI.f64)) (.f64 F (/.f64 #s(literal 1 binary64) l)))))) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 l (PI.f64))) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (.f64 (PI.f64) l)) F) F)) #s(approx (- ( (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (/.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 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* (PI) l)) F) (.f64 l (/.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 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 l (PI.f64)) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (.f64 (PI.f64) l) (.f64 F F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) #s(approx (- ( (PI) l) (/ (/ (tan (* (PI) l)) F) F)) (.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (.f64 F F)) (PI.f64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (.f64 (PI.f64) l) #s(literal 5000000000000000 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 5000000000000000 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 -5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 binary64)) #s(approx (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F)) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (.f64 (neg.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 -5087291284850963/25436456424254815193480879938969641865328820504439957276902228591018818808813598905645111850248543894740790979741795503409915167442777118989423202714274711784725790327125604852535546439788108920017108978789850624014628402852922291912704 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))

soundness1.2s (6.5%)

Memory

24.9MiB live, 1 047.8MiB allocated

Rules

17 378×	`lower-fma.f64`
17 378×	`lower-fma.f32`
12 348×	`lower-fma.f64`
12 348×	`lower-fma.f32`
11 038×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	427
0	107	421
1	423	401
2	3380	391
0	10642	389
0	149	1418
1	432	1331
2	1450	1227
3	6916	1158
0	8505	1124
0	306	7596
1	945	7292
2	3322	7029
0	9005	6823
0	10	37
0	17	37
1	70	31
2	467	31
3	6669	31
0	8191	31
0	49	333
0	83	332
1	317	305
2	2641	293
0	8787	292
0	239	7068
1	700	6672
2	2520	6135
0	8088	5983

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
1×	iter limit

Compiler

Compiled 555 to 257 computations (53.7% saved)

preprocess155.0ms (0.8%)

Memory: -35.4MiB live, 290.3MiB allocated
Remove: (abs F)
Compiler: Compiled 728 to 272 computations (62.6% 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%)

analyze211.0ms (1.1%)

sample5.1s (27%)

explain563.0ms (3%)

preprocess95.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize217.0ms (1.2%)

series12.0ms (0.1%)

simplify387.0ms (2.1%)

rewrite462.0ms (2.5%)

eval64.0ms (0.3%)

prune196.0ms (1%)

simplify92.0ms (0.5%)

localize1.6s (8.4%)

series41.0ms (0.2%)

simplify464.0ms (2.5%)

rewrite386.0ms (2.1%)

eval292.0ms (1.6%)

prune270.0ms (1.4%)

simplify255.0ms (1.4%)

localize1.1s (5.7%)

series39.0ms (0.2%)

simplify297.0ms (1.6%)

rewrite606.0ms (3.2%)

eval278.0ms (1.5%)

prune244.0ms (1.3%)

simplify265.0ms (1.4%)

localize1.3s (6.7%)

series32.0ms (0.2%)

simplify418.0ms (2.2%)

rewrite576.0ms (3.1%)

eval291.0ms (1.6%)

prune910.0ms (4.9%)

regimes146.0ms (0.8%)

regimes50.0ms (0.3%)

regimes63.0ms (0.3%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

regimes53.0ms (0.3%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify15.0ms (0.1%)

soundness1.2s (6.5%)

preprocess155.0ms (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