Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze22.0ms (0.5%)

Memory

-16.3MiB live, 32.8MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
50%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
87.5%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
93.7%	0%	0%	100%	0%	0%	0%	8
93.7%	0%	0%	100%	0%	0%	0%	9
96.9%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
98.4%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample958.0ms (22.1%)

Memory

34.5MiB live, 1 595.9MiB allocated; 222ms collecting garbage

Samples

641.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-sin: 143.0ms (30.4% of total)

ival-sinu: 135.0ms (28.7% of total)

ival-mult!: 114.0ms (24.3% of total)

ival-div!: 76.0ms (16.2% of total)

adjust: 2.0ms (0.4% of total)

ival-<=: 1.0ms (0.2% of total)

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

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

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

Bogosity

explain112.0ms (2.6%)

Memory

22.9MiB live, 263.6MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(PI.f32)`
-	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
-	-	`(.f32 (.f32 x (PI.f32)) tau)`
-	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
-	-	`(*.f32 x (PI.f32))`
-	-	`(sin.f32 (*.f32 x (PI.f32)))`
-	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
-	-	`tau`
-	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	255

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

41.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sinu: 8.0ms (31.3% of total)

ival-sin: 7.0ms (27.4% of total)

ival-mult!: 6.0ms (23.5% of total)

ival-div!: 4.0ms (15.7% of total)

adjust: 0.0ms (0% of total)

preprocess45.0ms (1%)

Memory

-45.9MiB live, 54.1MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	96	136
2	438	128
3	2215	128
4	3963	128
5	5859	128
6	6890	128

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series32.0ms (0.7%)

Memory

35.6MiB live, 78.6MiB allocated; 6ms collecting garbage

Counts

10 → 38

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
5.0ms	tau	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite201.0ms (4.6%)

Memory

22.5MiB live, 295.0MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	1349
0	279	1283
1	1608	1261
0	8119	1208

Stop Event

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

Counts

48 → 101

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* x (PI)) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (sin (* tau (* x (PI))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x (PI)) tau)) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx tau #s(hole binary32 tau))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (*.f32 tau x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (PI.f32) x)) tau))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) (neg.f32 tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau)) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (neg.f32 (neg.f32 (.f32 (*.f32 tau x) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) (.f32 x x))))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 x x)) (*.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 x x)) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (*.f32 (PI.f32) tau)) x))
#s(approx (* (* x (PI)) tau) (.f32 (.f32 tau x) (PI.f32)))
#s(approx (* x (PI)) (*.f32 (PI.f32) x))
#s(approx x x)
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sin (* x (PI))) (*.f32 (PI.f32) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (sin (* x (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))))
#s(approx (sin (* (* x (PI)) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (sin (* x (PI))) (sin.f32 (*.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval11.0ms (0.3%)

Memory: -26.4MiB live, 23.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 213 to 465 computations (85.5% saved)

prune15.0ms (0.4%)

Memory

-13.4MiB live, 34.0MiB allocated; 1ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	87	25	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	26	113

Accuracy

99.7%

Counts

113 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	78.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (neg.f32 (.f32 (PI.f32) x))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
▶	76.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
▶	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
	78.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 247 to 716 computations (42.6% saved)

series57.0ms (1.3%)

Memory

2.3MiB live, 98.9MiB allocated; 8ms collecting garbage

Counts

30 → 144

Calls

Call 1

Inputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x)))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(*.f32 (PI.f32) tau)

Outputs
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (* (* (* tau x) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (pow (sin (PI)) 2)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (* (PI) (* (cos (PI)) (sin (PI)))))) (pow (sin (PI)) 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (pow (sin (PI)) 2)))) (+ (* -1/2 (* (pow (PI) 2) (pow (sin (PI)) 2))) (* tau (* (pow (PI) 2) (pow (cos (PI)) 2)))))) (* (PI) (* (cos (PI)) (sin (PI))))))) (pow (sin (PI)) 2))))
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Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
9.0ms	tau	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
8.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
7.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))
7.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))

rewrite304.0ms (7%)

Memory

11.5MiB live, 253.3MiB allocated; 176ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	6205
0	853	5679
1	5105	5598
0	8210	5370

Stop Event

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

Counts

174 → 339

Calls

Call 1

Inputs
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32)))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x)))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(*.f32 (PI.f32) tau)
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 1))
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#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 1))
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#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
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#s(approx (* (* (* tau x) (PI)) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* tau (+ (* -1/2 (* tau (* (sin (PI)) (sin (+ (PI) (* x (PI))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (PI)) (sin (+ (PI) (* x (PI)))))) (* -1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
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#s(approx (sin (+ (* (* tau x) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
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#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
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#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
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#s(approx (+ (* (* tau x) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (*.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) tau) (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)) tau)
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))
(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 x tau)))
(.f32 (.f32 x tau) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 (PI.f32) x))
(*.f32 x tau)
(*.f32 tau x)
tau
x
(PI.f32)
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (*.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) (PI.f32)))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (*.f32 x tau) (PI.f32))))) #s(literal 2 binary32))
(.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x)
(.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(.f32 (.f32 (PI.f32) x) (.f32 (.f32 x tau) (PI.f32)))
(.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (*.f32 x tau) (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))))
(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32) (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32))
(-.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (*.f32 x tau) (PI.f32)))))
(fma.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal -1 binary32) (.f32 (cos.f32 (.f32 (*.f32 x tau) (PI.f32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))
(sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))
(+.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 (.f32 x tau) (PI.f32))) #s(literal 0 binary32)))
(cos.f32 (fma.f32 (*.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (fma.f32 x tau #s(literal 1 binary32))))
(*.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))
(-.f32 (PI.f32) (.f32 (neg.f32 tau) (.f32 (PI.f32) x)))
(/.f32 (-.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))) (-.f32 (PI.f32) (.f32 (*.f32 x tau) (PI.f32))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (-.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32)))
(/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (*.f32 x tau) (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)))))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(fma.f32 (PI.f32) (*.f32 x tau) (PI.f32))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 tau (*.f32 (PI.f32) x) (PI.f32))
(+.f32 (PI.f32) (.f32 (.f32 x tau) (PI.f32)))
(+.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32))
(-.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (neg.f32 x) (PI.f32)))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (neg.f32 x) (PI.f32)))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (.f32 (PI.f32) x)) (.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (PI.f32) x))))
(fma.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32) (.f32 (cos.f32 (*.f32 (PI.f32) x)) #s(literal 0 binary32)))
(sin.f32 (*.f32 (neg.f32 (PI.f32)) x))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))
(+.f32 (.f32 #s(literal 0 binary32) (cos.f32 (.f32 (PI.f32) x))) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x))))
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (*.f32 (PI.f32) x)))
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#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (sin (* (* tau x) (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* tau x) (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 tau #s(literal -1 binary32)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (PI.f32) x))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) #s(literal -1/2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (PI.f32) x)))) tau (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 x tau) (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x)))) #s(literal -1/6 binary32) (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))) tau)) tau (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32) (.f32 (.f32 x tau) (.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) x))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)) (.f32 x x)) (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) x)) tau (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32)))) tau (.f32 (.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) x)) tau (.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) x)) #s(literal 0 binary32))))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32) (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) #s(literal -1/2 binary32))) tau (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (.f32 (pow.f32 (*.f32 x tau) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal -1/6 binary32) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 tau tau) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 tau tau))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* tau x) (PI)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval32.0ms (0.7%)

Memory: 24.5MiB live, 70.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 10 973 to 1 438 computations (86.9% saved)

prune30.0ms (0.7%)

Memory

-33.1MiB live, 65.2MiB allocated; 7ms collecting garbage

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	306	29	335
Fresh	12	8	20
Picked	4	1	5
Done	0	1	1
Total	322	39	361

Accuracy

99.8%

Counts

361 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	72.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	84.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	75.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	60.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	78.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	76.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	76.5%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	76.6%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.4%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	72.5%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	66.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	6.3%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))))
▶	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	81.3%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
▶	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 914 to 1 166 computations (39.1% saved)

series60.0ms (1.4%)

Memory

20.4MiB live, 112.5MiB allocated; 6ms collecting garbage

Counts

45 → 179

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 x tau) (PI.f32))
(*.f32 x tau)
tau
(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x)))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(neg.f32 (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x)
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(*.f32 (PI.f32) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))

Outputs
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (pow (sin (PI)) 2)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (* (PI) (* (cos (PI)) (sin (PI)))))) (pow (sin (PI)) 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (pow (sin (PI)) 2)))) (+ (* -1/2 (* (pow (PI) 2) (pow (sin (PI)) 2))) (* tau (* (pow (PI) 2) (pow (cos (PI)) 2)))))) (* (PI) (* (cos (PI)) (sin (PI))))))) (pow (sin (PI)) 2))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* x (+ (* tau (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (pow (sin (PI)) 2)))) (+ (* -1/2 (* (pow (PI) 2) (pow (sin (PI)) 2))) (+ (* tau (* (pow (PI) 2) (pow (cos (PI)) 2))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (* (cos (PI)) (sin (PI)))))) (* -1/6 (* (pow (PI) 3) (* (cos (PI)) (sin (PI))))))))))))) (* (PI) (* (cos (PI)) (sin (PI))))))) (pow (sin (PI)) 2))))
#s(approx (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (neg (* (* tau x) (PI))) #s(hole binary32 (* -1 (* tau (* x (PI))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx (neg (* (PI) x)) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (pow (* (* tau x) (PI)) 2) #s(hole binary32 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* x (PI)) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
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#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* x (PI)))))))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* tau (* (cos (PI)) (sin (* x (PI)))))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* 1/2 (* tau (* x (* (PI) (* (sin (PI)) (sin (* x (PI))))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* x (* (PI) (* (sin (PI)) (sin (* x (PI)))))))))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* x tau) (PI)) (* x tau) tau (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) (* (PI) tau) (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
11.0ms	tau	@	-inf	((* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* x tau) (PI)) (* x tau) tau (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) (* (PI) tau) (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
10.0ms	x	@	inf	((* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* x tau) (PI)) (* x tau) tau (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) (* (PI) tau) (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
9.0ms	tau	@	inf	((* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* x tau) (PI)) (* x tau) tau (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) (* (PI) tau) (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
7.0ms	x	@	0	((* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* x tau) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* x tau) (PI)) (* x tau) tau (/ (sin (* (* x tau) (PI))) (* (PI) x)) (sin (* (* x tau) (PI))) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) (/ (sin (* (* tau x) (PI))) x) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) (* (PI) tau) (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))

rewrite183.0ms (4.2%)

Memory

-8.6MiB live, 219.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	924	7251
0	1004	6495
1	5824	6374
0	8268	6136

Stop Event

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

Counts

224 → 392

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(.f32 (.f32 x tau) (PI.f32))
(*.f32 x tau)
tau
(/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x))
(sin.f32 (.f32 (.f32 x tau) (PI.f32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x)))
(neg.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(neg.f32 (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x)
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau))
#s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))
(*.f32 (PI.f32) tau)
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(sin.f32 (fma.f32 (*.f32 x tau) (PI.f32) (PI.f32)))
(fma.f32 (*.f32 x tau) (PI.f32) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (* x tau) (PI))) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (/ 1 tau)))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))))
#s(approx (/ (sin (* (PI) x)) (* (* x tau) (PI))) #s(hole binary32 (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (* (* x tau) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* x tau) #s(hole binary32 (* tau x)))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (* x (PI)))))
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#s(approx tau #s(hole binary32 tau))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) #s(hole binary32 (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* x tau) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (/ (* tau (* (cos (PI)) (sin (+ (PI) (* x (PI)))))) (* x (PI))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* tau (+ (* -1/2 (* tau (* (sin (PI)) (sin (+ (PI) (* x (PI))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (PI)) (sin (+ (PI) (* x (PI)))))) (* -1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (/ (* (cos (PI)) (sin (+ (PI) (* x (PI))))) (* x (PI))))) (/ (* (sin (PI)) (sin (+ (PI) (* x (PI))))) (* (pow x 2) (pow (PI) 2)))) tau)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (* (sin (PI)) (sin (+ (PI) (* x (PI)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI)))))))) (* (sin (PI)) (sin (+ (PI) (* x (PI))))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (+ (PI) (* x (PI))))))))) (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))) (* (sin (PI)) (sin (+ (PI) (* x (PI))))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(hole binary32 (+ (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (* (sin (PI)) (sin (+ (PI) (* x (PI)))))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))))) (* x (* (PI) (* (cos (PI)) (sin (+ (PI) (* x (PI))))))))) (* (sin (PI)) (sin (+ (PI) (* x (PI))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) x) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) x) #s(hole binary32 (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* x (PI)))))))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* tau (* (cos (PI)) (sin (* x (PI)))))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* 1/2 (* tau (* x (* (PI) (* (sin (PI)) (sin (* x (PI))))))))))) tau)))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* x (* (PI) (* (sin (PI)) (sin (* x (PI)))))))))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* (* x tau) (PI)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 tau x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 tau x))
(.f32 (.f32 tau x) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
tau
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x)
(/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(/.f32 (/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (neg.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32))) (neg.f32 (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 tau x) (neg.f32 (PI.f32))))
(neg.f32 (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (PI.f32) x)))
(neg.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (neg.f32 (*.f32 tau x))))
(.f32 (.f32 #s(literal -1 binary32) tau) (*.f32 (PI.f32) x))
(.f32 (neg.f32 (.f32 tau x)) (PI.f32))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal -1 binary32))
(.f32 (.f32 tau x) (neg.f32 (PI.f32)))
(neg.f32 (.f32 (.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 tau x))
(.f32 (.f32 tau x) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 tau x)
(*.f32 x tau)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) x)))
(.f32 (.f32 #s(literal -1 binary32) x) (PI.f32))
(.f32 (.f32 #s(literal -1 binary32) (PI.f32)) x)
(.f32 #s(literal -1 binary32) (.f32 (PI.f32) x))
(*.f32 (neg.f32 (PI.f32)) x)
(.f32 (.f32 (PI.f32) x) #s(literal -1 binary32))
(*.f32 (PI.f32) (neg.f32 x))
(.f32 x (.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
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#s(approx tau tau)
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#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) #s(literal -1/6 binary32) (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))) tau)) tau (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32) (.f32 (.f32 tau x) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)) (.f32 x x)) (.f32 (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))))
#s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32)))) tau (.f32 (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) x)) tau (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (.f32 (pow.f32 (*.f32 tau x) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal -1/6 binary32) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 tau tau) (PI.f32)) tau))
#s(approx (/ (sin (* (* tau x) (PI))) x) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 tau tau))) (*.f32 tau tau) (PI.f32)) tau))
#s(approx (sin (* (* x tau) (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x tau) (PI))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (neg.f32 (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32)) (PI.f32)) (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32))) tau (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (neg.f32 (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1 binary32) tau) (sin.f32 (.f32 (PI.f32) x)) (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) x) (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (+ (* (* x tau) (PI)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal -1 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))) tau (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x)))) tau))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) tau) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32) (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) tau) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)))) tau (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) (pow.f32 tau #s(literal -2 binary32))) (*.f32 tau tau)))
#s(approx (+ (* (* x tau) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* (* x tau) (PI)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval35.0ms (0.8%)

Memory: 28.6MiB live, 82.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 11 653 to 1 541 computations (86.8% saved)

prune41.0ms (0.9%)

Memory

-6.8MiB live, 85.6MiB allocated; 8ms collecting garbage

Pruning

50 alts after pruning (48 fresh and 2 done)

	Pruned	Kept	Total
New	299	26	325
Fresh	10	22	32
Picked	5	0	5
Done	0	2	2
Total	314	50	364

Accuracy

99.9%

Counts

364 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	80.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))
	60.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	81.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	72.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	79.8%	(/.f32 (.f32 (/.f32 (sin.f32 #s(approx (+ ( (* x tau) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	75.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	60.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	76.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
	85.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
▶	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	76.5%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	76.6%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.4%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	72.5%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	66.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	65.0%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	81.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	66.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
	81.3%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	63.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
	71.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
▶	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	66.3%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	72.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	80.4%	#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
▶	6.3%	#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
	81.3%	#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 770 to 1 698 computations (38.7% saved)

series53.0ms (1.2%)

Memory

-11.1MiB live, 87.6MiB allocated; 23ms collecting garbage

Counts

38 → 152

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
tau
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau))
#s(literal 0 binary32)
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32)))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))

Outputs
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (* (* (PI) x) tau) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ 0 (* (* (PI) x) tau)) #s(hole binary32 0))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (* (* (* (PI) x) tau) (* (* (PI) x) tau)) #s(hole binary32 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))))
#s(approx (/ (sin (* x (PI))) (* x (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (* x (PI))))
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#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* x (PI)))))))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* tau (* (cos (PI)) (sin (* x (PI)))))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* 1/2 (* tau (* x (* (PI) (* (sin (PI)) (sin (* x (PI))))))))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* x (* (PI) (* (sin (PI)) (sin (* x (PI)))))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	tau	@	-inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (* (PI) x) tau)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (PI) tau) (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
10.0ms	x	@	inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (* (PI) x) tau)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (PI) tau) (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
6.0ms	x	@	-inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (* (PI) x) tau)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (PI) tau) (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
6.0ms	tau	@	inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (* (PI) x) tau)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (PI) tau) (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))
4.0ms	x	@	0	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* (PI) x) tau) (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/ 0 (* (* (PI) x) tau)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6 1 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (sin (* x (* (PI) tau))) (* x (* (PI) tau)) (* (PI) tau) (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (+ (* x (* (PI) tau)) (PI))) (+ (* x (* (PI) tau)) (PI)) (* (* (neg (PI)) x) tau) (* (neg (PI)) x) (neg (PI)))

rewrite627.0ms (14.4%)

Memory

-110.2MiB live, 278.0MiB allocated; 837ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	809	6602
0	878	5937
1	5127	5861
0	8323	5642

Stop Event

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

Counts

190 → 324

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(PI.f32)
x
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
tau
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau))
#s(literal 0 binary32)
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(.f32 x (.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) (PI.f32)))
(fma.f32 x (*.f32 (PI.f32) tau) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) tau)
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 1))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) #s(hole binary32 (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* (PI) x) tau)) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* (PI) x) tau) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* (* (* (PI) x) tau) (* (PI) x)) #s(hole binary32 (* tau (* (pow x 2) (pow (PI) 2)))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (pow (sin (PI)) 2) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (pow (cos (PI)) 2)))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) #s(hole binary32 (/ (+ (* x (+ (* x (+ (* -1/2 (* tau (pow (sin (PI)) 2))) (+ (* -1/2 (/ (pow (sin (PI)) 2) tau)) (+ (* x (+ (* -1/2 (* tau (* (PI) (* (cos (PI)) (sin (PI)))))) (+ (* -1/2 (* (PI) (* (cos (PI)) (sin (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (* (cos (PI)) (sin (PI)))))) (* -1/6 (/ (* (PI) (* (cos (PI)) (sin (PI)))) tau)))))) (pow (cos (PI)) 2))))) (+ (/ (* (cos (PI)) (sin (PI))) (PI)) (/ (* (cos (PI)) (sin (PI))) (* tau (PI)))))) (/ (pow (sin (PI)) 2) (* tau (pow (PI) 2)))) (pow x 2))))
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#s(approx (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) (* (* (* tau x) (PI)) (* (PI) x))) #s(hole binary32 (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) #s(hole binary32 (* tau (* x (* (PI) (sin (* x (PI))))))))
#s(approx (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))))
#s(approx (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))))
#s(approx (* (sin (* (PI) x)) (sin (* x (* (PI) tau)))) #s(hole binary32 (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))))
#s(approx (sin (* x (* (PI) tau))) #s(hole binary32 (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))))
#s(approx (* (PI) tau) #s(hole binary32 (* tau (PI))))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* x (PI)))))))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (* tau (* (cos (PI)) (sin (* x (PI)))))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* 1/2 (* tau (* x (* (PI) (* (sin (PI)) (sin (* x (PI))))))))))) tau)))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) #s(hole binary32 (/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1 (* (cos (PI)) (sin (* x (PI))))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* x (* (PI) (* (sin (PI)) (sin (* x (PI)))))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (* tau (cos (PI)))) (* -1 (/ (sin (PI)) (* x (PI))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* 1/2 (* tau (* x (* (PI) (sin (PI))))))))) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) #s(hole binary32 (/ (+ (* -1 (/ (sin (PI)) (* x (PI)))) (* tau (+ (* -1 (cos (PI))) (* tau (+ (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))) (* 1/2 (* x (* (PI) (sin (PI)))))))))) tau)))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) #s(hole binary32 (+ (sin (PI)) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI)))))))) (* x (* (PI) (cos (PI)))))))))
#s(approx (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) #s(hole binary32 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* tau (+ (* x (PI)) (/ (PI) tau)))))
#s(approx (+ (* x (* (PI) tau)) (PI)) #s(hole binary32 (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32)))) (.f32 (.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (neg.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32)))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (cos.f32 (fma.f32 (PI.f32) x (.f32 (*.f32 (PI.f32) x) tau)))) #s(literal 2 binary32))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 tau x))
(.f32 (.f32 tau x) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 x (.f32 (PI.f32) tau))
tau
(.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) #s(literal 0 binary32))
#s(literal 0 binary32)
#s(literal 0 binary32)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (pow.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 3 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))
(+.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal 2 binary32))))
(.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 1 binary32)) (pow.f32 (.f32 (*.f32 (PI.f32) x) tau) #s(literal 1 binary32)))
(.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 x x))
(.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (*.f32 tau x) (neg.f32 (PI.f32))))
(.f32 (fabs.f32 (.f32 (.f32 (PI.f32) x) tau)) (fabs.f32 (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (*.f32 tau tau))
(.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (*.f32 tau x) #s(literal 2 binary32)))
(.f32 (.f32 tau tau) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))
(.f32 (.f32 x x) (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (*.f32 (PI.f32) x) tau)))
(.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x) tau)
(pow.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (PI.f32) x) tau)) #s(literal 2 binary32)))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32)))) (.f32 (.f32 tau x) (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))))) (neg.f32 (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))) (neg.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32)))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (*.f32 (PI.f32) x)))) #s(literal 2 binary32))
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#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (/.f32 (fma.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 #s(literal -1 binary32) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (PI.f32) x))) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) #s(literal -1/2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)))) tau (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) #s(literal -1/6 binary32) (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(literal 0 binary32))) tau)) tau (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))))) tau))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 6 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
#s(approx (/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* (PI) x) tau) (* (PI) x))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) tau))
#s(approx (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* (PI) x) tau)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 7 binary32)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 tau tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx (* (PI) tau) (*.f32 (PI.f32) tau))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (neg.f32 (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 tau x) (/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau x) (.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32))) tau (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))))) tau))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (neg.f32 (.f32 (/.f32 #s(literal 0 binary32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1 binary32) tau) (sin.f32 (.f32 (PI.f32) x)) (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) tau) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)) x) (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))) tau))
#s(approx (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 #s(literal 1/2 binary32) x) (.f32 (sin.f32 (.f32 (PI.f32) x)) #s(literal 0 binary32)))) tau (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))) tau (neg.f32 (.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))) tau))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (+.f32 (/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) tau)) tau) #s(literal 0 binary32)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (.f32 (*.f32 #s(literal 0 binary32) x) tau) #s(literal 1/2 binary32) #s(literal 1 binary32)) tau) tau)))
#s(approx (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (+.f32 #s(literal 0 binary32) (/.f32 (.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1 binary32)) tau) #s(literal 1/6 binary32) (.f32 (.f32 #s(literal 0 binary32) x) #s(literal 1/2 binary32))) tau #s(literal 1 binary32)) tau) tau)))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32) (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (sin (+ (* x (* (PI) tau)) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) tau) (pow.f32 (.f32 (neg.f32 (PI.f32)) x) #s(literal 3 binary32)))) tau (.f32 (neg.f32 (PI.f32)) x)) tau #s(literal 0 binary32)))
#s(approx (+ (* (* (* (* (PI) x) tau) (* (* (PI) x) tau)) -1/6) 1) (fma.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (*.f32 tau tau) #s(literal 1 binary32)))
#s(approx (+ (* x (* (PI) tau)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))
#s(approx (+ (* x (* (PI) tau)) (PI)) (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) tau)))

eval30.0ms (0.7%)

Memory: 26.5MiB live, 72.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 10 621 to 1 436 computations (86.5% saved)

prune49.0ms (1.1%)

Memory

-31.5MiB live, 115.3MiB allocated; 6ms collecting garbage

Pruning

56 alts after pruning (50 fresh and 6 done)

	Pruned	Kept	Total
New	290	15	305
Fresh	8	35	43
Picked	1	4	5
Done	0	2	2
Total	299	56	355

Accuracy

99.9%

Counts

355 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.3%	(/.f32 (/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
	77.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
✓	81.4%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	60.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	72.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	79.8%	(/.f32 (.f32 (/.f32 (sin.f32 #s(approx (+ ( (* x tau) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	75.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	78.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	60.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
	85.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
✓	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
✓	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	76.5%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	76.6%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	77.4%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	72.5%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	72.3%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	66.1%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	65.0%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
	84.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
	72.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	81.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	66.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
	76.8%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
	81.3%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	71.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
	63.3%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
✓	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	71.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	81.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	66.3%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
	72.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	81.3%	#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
	6.3%	#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
	80.4%	#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 231 to 1 360 computations (67.9% saved)

regimes229.0ms (5.3%)

Memory

53.1MiB live, 251.1MiB allocated; 61ms collecting garbage

Counts

96 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* tau x) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 #s(approx (+ ( (* x tau) (PI)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (PI.f32)) x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (*.f32 (PI.f32) x))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x)))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Calls

4 calls:

86.0ms	(*.f32 x (PI.f32))
73.0ms	x
42.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
24.0ms	tau

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f32 x (PI.f32))`
97.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.9%	1	`x`
97.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes119.0ms (2.7%)

Memory

15.6MiB live, 127.7MiB allocated; 53ms collecting garbage

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))

Calls

4 calls:

66.0ms	tau
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	x
15.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.9%	1	`(*.f32 x (PI.f32))`
97.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.9%	1	`x`
97.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes53.0ms (1.2%)

Memory

-4.7MiB live, 87.7MiB allocated; 6ms collecting garbage

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))

Outputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))

Calls

4 calls:

14.0ms	tau
13.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
12.0ms	x
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.7%	1	`(*.f32 x (PI.f32))`
97.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.7%	1	`x`
97.7%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1.3%)

Memory

-25.1MiB live, 71.1MiB allocated; 17ms collecting garbage

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))

Outputs
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))

Calls

4 calls:

21.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms	(*.f32 x (PI.f32))
11.0ms	tau
11.0ms	x

Results

Accuracy	Segments	Branch
97.6%	1	`(*.f32 x (PI.f32))`
97.6%	1	`x`
97.6%	1	`tau`
97.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes43.0ms (1%)

Memory

21.2MiB live, 66.3MiB allocated; 3ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))

Outputs
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))

Calls

4 calls:

12.0ms	x
10.0ms	tau
10.0ms	(*.f32 x (PI.f32))
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.4%	1	`(*.f32 x (PI.f32))`
97.4%	1	`x`
97.4%	1	`tau`
97.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes87.0ms (2%)

Memory

3.1MiB live, 49.1MiB allocated; 2ms collecting garbage

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))

Calls

4 calls:

56.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
9.0ms	x
9.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
85.4%	1	`(*.f32 x (PI.f32))`
85.4%	1	`x`
85.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
85.4%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1.3%)

Memory

-24.2MiB live, 67.6MiB allocated; 16ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32)))))

Calls

4 calls:

24.0ms	tau
9.0ms	x
9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
84.9%	1	`(*.f32 x (PI.f32))`
84.9%	1	`x`
84.9%	1	`tau`
84.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes39.0ms (0.9%)

Memory

35.9MiB live, 79.4MiB allocated; 8ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))

Calls

4 calls:

13.0ms	x
9.0ms	tau
8.0ms	(*.f32 x (PI.f32))
8.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
84.7%	1	`(*.f32 x (PI.f32))`
84.7%	1	`x`
84.7%	1	`tau`
84.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes41.0ms (0.9%)

Memory

-31.3MiB live, 69.2MiB allocated; 13ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x) tau) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 x (.f32 (PI.f32) tau) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (PI.f32)))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Calls

4 calls:

13.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms	tau
7.0ms	x

Results

Accuracy	Segments	Branch
81.1%	1	`(*.f32 x (PI.f32))`
81.1%	1	`x`
81.1%	1	`tau`
81.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes27.0ms (0.6%)

Memory

12.7MiB live, 58.6MiB allocated; 5ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (PI) tau)) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))

Calls

4 calls:

9.0ms	x
6.0ms	tau
6.0ms	(*.f32 x (PI.f32))
6.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
80.9%	1	`(*.f32 x (PI.f32))`
80.9%	1	`x`
80.9%	1	`tau`
80.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes23.0ms (0.5%)

Memory

-4.1MiB live, 41.8MiB allocated; 5ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (* (* x tau) (PI))) (* (PI) x)) tau))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (* tau x) (PI))) x) (.f32 (PI.f32) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)))

Outputs

#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))

Calls

4 calls:

8.0ms	(*.f32 x (PI.f32))
5.0ms	tau
5.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms	x

Results

Accuracy	Segments	Branch
80.4%	1	`(*.f32 x (PI.f32))`
80.4%	1	`x`
80.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
80.4%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.3%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (fma.f32 (fma.f32 #s(literal 0 binary32) tau (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) #s(literal 0 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau #s(literal 0 binary32))) x #s(literal 0 binary32))) x #s(literal 0 binary32))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) x) tau) (*.f32 (*.f32 (PI.f32) x) tau)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))

Calls

4 calls:

3.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	tau

Results

Accuracy	Segments	Branch
71.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
71.8%	1	`tau`
71.8%	1	`(*.f32 x (PI.f32))`
71.8%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory

-28.9MiB live, 17.3MiB allocated; 4ms collecting garbage

Accuracy

Total -18.9b remaining (-170.1%)

Threshold costs -18.9b (-170.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (/ (sin (+ (* x (* (PI) tau)) (PI))) (* (* (neg (PI)) x) tau)) (sin (* (PI) x))) (* (PI) x)) #s(literal 0 binary32))
#s(approx (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))

Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Calls

4 calls:

4.0ms	(*.f32 x (PI.f32))
2.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms	tau
2.0ms	x

Results

Accuracy	Segments	Branch
65.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
65.2%	1	`(*.f32 x (PI.f32))`
65.2%	1	`x`
65.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations449.0ms (10.3%)

Memory

27.8MiB live, 370.6MiB allocated; 70ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 383 to 87 computations (77.3% saved)

preprocess197.0ms (4.5%)

Memory

16.9MiB live, 244.5MiB allocated; 30ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 2 340 to 1 042 computations (55.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze22.0ms (0.5%)

sample958.0ms (22.1%)

explain112.0ms (2.6%)

preprocess45.0ms (1%)

series32.0ms (0.7%)

rewrite201.0ms (4.6%)

eval11.0ms (0.3%)

prune15.0ms (0.4%)

series57.0ms (1.3%)

rewrite304.0ms (7%)

eval32.0ms (0.7%)

prune30.0ms (0.7%)

series60.0ms (1.4%)

rewrite183.0ms (4.2%)

eval35.0ms (0.8%)

prune41.0ms (0.9%)

series53.0ms (1.2%)

rewrite627.0ms (14.4%)

eval30.0ms (0.7%)

prune49.0ms (1.1%)

regimes229.0ms (5.3%)

regimes119.0ms (2.7%)

regimes53.0ms (1.2%)

regimes57.0ms (1.3%)

regimes43.0ms (1%)

regimes87.0ms (2%)

regimes57.0ms (1.3%)

regimes39.0ms (0.9%)

regimes41.0ms (0.9%)

regimes27.0ms (0.6%)

regimes23.0ms (0.5%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

derivations449.0ms (10.3%)

preprocess197.0ms (4.5%)

end0.0ms (0%)

Profiling