Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze25.0ms (0.4%)

Memory

-22.9MiB live, 23.1MiB allocated; 11ms 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)

sample1.0s (18.4%)

Memory

65.8MiB live, 1 494.0MiB allocated; 361ms collecting garbage

Samples

759.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-mult!: 192.0ms (33.7% of total)

ival-sinu: 144.0ms (25.2% of total)

ival-sin: 134.0ms (23.5% of total)

ival-div!: 98.0ms (17.2% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

ival-<=: 0.0ms (0% of total)

Bogosity

explain160.0ms (2.8%)

Memory

-2.5MiB live, 190.9MiB allocated; 9ms 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

38.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sinu: 8.0ms (32.2% of total)

ival-sin: 7.0ms (28.2% of total)

ival-mult!: 6.0ms (24.1% of total)

ival-div!: 4.0ms (16.1% of total)

adjust: 0.0ms (0% of total)

preprocess42.0ms (0.7%)

Memory

-20.3MiB live, 24.8MiB allocated; 5ms 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)

series31.0ms (0.5%)

Memory

4.5MiB live, 49.6MiB allocated; 5ms 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	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))))
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	x	@	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))))

rewrite235.0ms (4.1%)

Memory

22.6MiB live, 253.7MiB allocated; 91ms 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)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.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))) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)))
(/.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (fma.f32 (.f32 #s(literal -1/720 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal -1/5040 binary32) (fma.f32 (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.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 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.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 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 x x))) #s(literal -1/5040 binary32))) (.f32 x x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (*.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) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.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 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (.f32 (PI.f32) tau)) x))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.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 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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.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)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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)) (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #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 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
#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 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x x) 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 1/120 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.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 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 -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau tau) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1/120 binary32))) (.f32 tau tau))) (*.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)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 5 binary32)))) (.f32 tau tau) (.f32 (PI.f32) x)) tau))
#s(approx (sin (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.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 tau tau) (*.f32 (PI.f32) x)) tau))
#s(approx tau tau)

eval9.0ms (0.2%)

Memory: 28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 541 to 466 computations (86.8% saved)

prune18.0ms (0.3%)

Memory

-21.7MiB live, 39.2MiB allocated; 4ms collecting garbage

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	90	26	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	27	117

Accuracy

99.7%

Counts

117 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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))))
	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)))
	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))))
▶	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.7%	(.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
	91.9%	(.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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)))
	85.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	85.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.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)))
	97.0%	#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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
▶	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 631 to 858 computations (47.4% saved)

series56.0ms (1%)

Memory

5.7MiB live, 97.7MiB allocated; 6ms collecting garbage

Counts

35 → 131

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	tau	@	0	((* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* tau x) (PI)) (* tau x) tau (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) x) (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) (* -1/6 (* x x)) -1/6 (* x x) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))))
9.0ms	x	@	0	((* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* tau x) (PI)) (* tau x) tau (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) x) (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) (* -1/6 (* x x)) -1/6 (* x x) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))))
9.0ms	x	@	-inf	((* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* tau x) (PI)) (* tau x) tau (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) x) (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) (* -1/6 (* x x)) -1/6 (* x x) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))))
8.0ms	x	@	inf	((* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* tau x) (PI)) (* tau x) tau (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) x) (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) (* -1/6 (* x x)) -1/6 (* x x) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))))
6.0ms	tau	@	inf	((* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (PI) x)) (* (PI) x) (PI) x (* (* tau x) (PI)) (* tau x) tau (/ (sin (* (* tau x) (PI))) (* (PI) x)) (sin (* (* tau x) (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (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)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) x) (+ (* (* -1/6 (* x x)) (* (* (PI) (PI)) (PI))) (PI)) (* -1/6 (* x x)) -1/6 (* x x) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))))

rewrite242.0ms (4.2%)

Memory

16.5MiB live, 147.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	622	5022
0	689	4581
1	3675	4438
0	8402	4278

Stop Event

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

Counts

166 → 612

Calls

Call 1

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

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

eval63.0ms (1.1%)

Memory: -6.9MiB live, 79.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 810 to 1 857 computations (89% saved)

prune63.0ms (1.1%)

Memory

-11.1MiB live, 99.0MiB allocated; 9ms collecting garbage

Pruning

54 alts after pruning (51 fresh and 3 done)

	Pruned	Kept	Total
New	449	38	487
Fresh	8	13	21
Picked	3	2	5
Done	0	1	1
Total	460	54	514

Accuracy

99.8%

Counts

514 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	85.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	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))))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	69.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
▶	76.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x))))
	69.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (neg.f32 (.f32 (PI.f32) (.f32 tau x))) (*.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 (PI.f32) x) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	78.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
	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 (PI.f32) x) tau)))
	76.8%	(/.f32 (.f32 (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	76.9%	(/.f32 (.f32 (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (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) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	76.8%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
▶	72.5%	(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	65.1%	(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	69.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.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)))
✓	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))))
	76.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (.f32 (PI.f32) x))))
	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
✓	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.7%	(.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
	91.9%	(.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	54.5%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	66.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
▶	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	84.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	72.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	85.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.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)))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
	97.0%	#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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
	78.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 664 to 2 024 computations (44.8% saved)

series55.0ms (1%)

Memory

-0.2MiB live, 92.4MiB allocated; 9ms collecting garbage

Counts

47 → 164

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (PI.f32) (.f32 tau x))
(PI.f32)
(*.f32 tau x)
tau
x
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))
#s(literal 0 binary32)
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32))))
#s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))
(fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))
(neg.f32 (PI.f32))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau)))
(fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))
(/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau)
(fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(.f32 #s(literal 1/120 binary32) (.f32 x x))
#s(literal 1/120 binary32)
(*.f32 x x)
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(/.f32 #s(literal 1 binary32) tau)
#s(literal 1 binary32)
(/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)))
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x))))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (.f32 (PI.f32) (.f32 tau x)))

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	tau	@	inf	((/ (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (* (* (PI) (* tau x)) (* (PI) x))) (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (sin (* (PI) (* tau x))) (* (PI) (* tau x)) (PI) (* tau x) tau x (sin (* (PI) x)) (* (PI) x) (* (* (PI) (* tau x)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ 1 tau) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* (PI) x) tau) (PI))) (+ (* (* (PI) x) tau) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (neg (PI)) x) (neg (* (PI) (* tau x)))) (* (neg (PI)) x) (neg (* (PI) (* tau x))))
9.0ms	tau	@	-inf	((/ (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (* (* (PI) (* tau x)) (* (PI) x))) (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (sin (* (PI) (* tau x))) (* (PI) (* tau x)) (PI) (* tau x) tau x (sin (* (PI) x)) (* (PI) x) (* (* (PI) (* tau x)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ 1 tau) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* (PI) x) tau) (PI))) (+ (* (* (PI) x) tau) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (neg (PI)) x) (neg (* (PI) (* tau x)))) (* (neg (PI)) x) (neg (* (PI) (* tau x))))
8.0ms	x	@	inf	((/ (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (* (* (PI) (* tau x)) (* (PI) x))) (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (sin (* (PI) (* tau x))) (* (PI) (* tau x)) (PI) (* tau x) tau x (sin (* (PI) x)) (* (PI) x) (* (* (PI) (* tau x)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ 1 tau) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* (PI) x) tau) (PI))) (+ (* (* (PI) x) tau) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (neg (PI)) x) (neg (* (PI) (* tau x)))) (* (neg (PI)) x) (neg (* (PI) (* tau x))))
7.0ms	x	@	-inf	((/ (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (* (* (PI) (* tau x)) (* (PI) x))) (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (sin (* (PI) (* tau x))) (* (PI) (* tau x)) (PI) (* tau x) tau x (sin (* (PI) x)) (* (PI) x) (* (* (PI) (* tau x)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ 1 tau) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* (PI) x) tau) (PI))) (+ (* (* (PI) x) tau) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (neg (PI)) x) (neg (* (PI) (* tau x)))) (* (neg (PI)) x) (neg (* (PI) (* tau x))))
7.0ms	x	@	0	((/ (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (* (* (PI) (* tau x)) (* (PI) x))) (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (sin (* (PI) (* tau x))) (* (PI) (* tau x)) (PI) (* tau x) tau x (sin (* (PI) x)) (* (PI) x) (* (* (PI) (* tau x)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* (PI) x)) 0 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (* tau x) (PI))) (* (PI) x))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (* 1/120 (* x x)) 1/120 (* x x) (* (* (PI) (PI)) (* (PI) (PI))) (* (PI) (PI)) (* (* (PI) (PI)) -1/6) -1/6 (/ 1 tau) 1 (/ (sin (* (* tau x) (PI))) (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* (PI) x) tau) (PI))) (+ (* (* (PI) x) tau) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (* (neg (PI)) x) (neg (* (PI) (* tau x)))) (* (neg (PI)) x) (neg (* (PI) (* tau x))))

rewrite342.0ms (6%)

Memory

5.7MiB live, 346.5MiB allocated; 214ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	903	7018
0	988	6250
1	5816	6139
0	8429	5913

Stop Event

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

Counts

211 → 474

Calls

Call 1

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

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

eval76.0ms (1.3%)

Memory: -9.2MiB live, 86.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 19 733 to 2 223 computations (88.7% saved)

prune91.0ms (1.6%)

Memory

5.2MiB live, 143.3MiB allocated; 8ms collecting garbage

Pruning

74 alts after pruning (71 fresh and 3 done)

	Pruned	Kept	Total
New	414	40	454
Fresh	15	31	46
Picked	4	1	5
Done	1	2	3
Total	434	74	508

Accuracy

99.9%

Counts

508 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	85.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	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)))))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	69.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x))))
	78.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
	69.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (neg.f32 (.f32 (PI.f32) (.f32 tau x))) (*.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 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
	76.8%	(/.f32 (.f32 (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	76.9%	(/.f32 (.f32 (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
✓	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) #s(approx (* (* (PI) (* tau x)) (* (PI) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	72.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	76.5%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	76.6%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	77.4%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
▶	91.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	72.2%	(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	97.9%	(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
	79.0%	(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	65.0%	(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
	69.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
▶	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
	91.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)))
	76.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (.f32 (PI.f32) x))))
✓	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.7%	(.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
	91.9%	(.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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)))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	66.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
	91.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
	75.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	80.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	85.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
	80.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
	66.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.8%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) x) x (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	84.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	72.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	13.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) #s(literal 1 binary32)) tau)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
▶	72.4%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
	85.2%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.4%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	76.8%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau 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 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	97.1%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	54.5%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
▶	6.3%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
	78.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 106 to 3 407 computations (44.2% saved)

series59.0ms (1%)

Memory

-15.0MiB live, 127.8MiB allocated; 12ms collecting garbage

Counts

42 → 149

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.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))
(sin.f32 (.f32 (.f32 (PI.f32) x) tau))
(.f32 (.f32 (PI.f32) x) tau)
(*.f32 (PI.f32) x)
(PI.f32)
x
tau
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau))
(sin.f32 (*.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(literal 0 binary32)
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
#s(approx (sin (+ (* (PI) x) (PI))) (*.f32 (neg.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) x)
(neg.f32 (PI.f32))
(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
#s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau))
(/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (*.f32 x x))
(.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 x x)
#s(literal 1/120 binary32)
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (*.f32 tau x) (PI.f32))))
(sin.f32 (fma.f32 (PI.f32) x (PI.f32)))
(fma.f32 (PI.f32) x (PI.f32))
(sin.f32 (.f32 (.f32 tau x) (PI.f32)))
(.f32 (.f32 tau x) (PI.f32))
(*.f32 tau x)
(.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 tau x)) (PI.f32))
(.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x))

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	((* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (sin (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) 0 (* (sin (+ (* (PI) x) (PI))) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x)))) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (* (* (* (PI) x) tau) (* (neg (PI)) x)) (/ (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* x x) 1/120 (* (* (PI) (PI)) -1/6) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* (neg (PI)) x) (* tau x)) (PI))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* (neg (PI)) x) (* tau x)) (PI)) (* (* (neg (PI)) x) (* tau x)))
9.0ms	x	@	-inf	((* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (sin (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) 0 (* (sin (+ (* (PI) x) (PI))) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x)))) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (* (* (* (PI) x) tau) (* (neg (PI)) x)) (/ (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* x x) 1/120 (* (* (PI) (PI)) -1/6) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* (neg (PI)) x) (* tau x)) (PI))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* (neg (PI)) x) (* tau x)) (PI)) (* (* (neg (PI)) x) (* tau x)))
9.0ms	tau	@	-inf	((* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (sin (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) 0 (* (sin (+ (* (PI) x) (PI))) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x)))) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (* (* (* (PI) x) tau) (* (neg (PI)) x)) (/ (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* x x) 1/120 (* (* (PI) (PI)) -1/6) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* (neg (PI)) x) (* tau x)) (PI))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* (neg (PI)) x) (* tau x)) (PI)) (* (* (neg (PI)) x) (* tau x)))
9.0ms	tau	@	inf	((* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (sin (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) 0 (* (sin (+ (* (PI) x) (PI))) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x)))) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (* (* (* (PI) x) tau) (* (neg (PI)) x)) (/ (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* x x) 1/120 (* (* (PI) (PI)) -1/6) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* (neg (PI)) x) (* tau x)) (PI))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* (neg (PI)) x) (* tau x)) (PI)) (* (* (neg (PI)) x) (* tau x)))
7.0ms	tau	@	0	((* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (PI) x) (PI) x tau (/ (sin (* (PI) x)) (* (* (PI) x) tau)) (sin (* (PI) x)) (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) 0 (* (sin (+ (* (PI) x) (PI))) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x)))) (sin (+ (* (PI) x) (PI))) (* (neg (PI)) x) (neg (PI)) (/ (sin (* (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (* (* (* (PI) x) tau) (* (neg (PI)) x)) (/ (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (* (PI) x)) (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) (* (* (* (PI) (PI)) (PI)) (PI)) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* x x) 1/120 (* (* (PI) (PI)) -1/6) -1/6 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (* (* (neg (PI)) x) (* tau x)) (PI))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (* (* (* (neg (PI)) x) (* tau x)) (PI)) (* (* (neg (PI)) x) (* tau x)))

rewrite235.0ms (4.1%)

Memory

-6.4MiB live, 328.5MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	821	6651
0	899	6041
1	5077	5972
0	8248	5779

Stop Event

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

Counts

191 → 363

Calls

Call 1

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

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

eval50.0ms (0.9%)

Memory: 15.7MiB live, 107.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 18 283 to 2 183 computations (88.1% saved)

prune172.0ms (3%)

Memory

34.8MiB live, 180.2MiB allocated; 11ms collecting garbage

Pruning

95 alts after pruning (90 fresh and 5 done)

	Pruned	Kept	Total
New	388	32	420
Fresh	8	58	66
Picked	3	2	5
Done	0	3	3
Total	399	95	494

Accuracy

99.9%

Counts

494 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	91.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau))) (PI.f32)) x)
	85.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
	84.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	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)))))
	81.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))
	69.5%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x))))
	78.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
	69.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (neg.f32 (.f32 (PI.f32) (.f32 tau x))) (*.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 (.f32 (neg.f32 (PI.f32)) (.f32 x (*.f32 tau x))) (PI.f32)))
	76.8%	(/.f32 (.f32 (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	76.9%	(/.f32 (.f32 (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 tau x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
✓	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
	85.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	72.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
	76.5%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	76.6%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
	77.4%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
	91.2%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x))
	91.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
	66.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	91.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	91.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	91.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
	85.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
	13.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32))) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	72.4%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	91.4%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x)) tau) (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
	91.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	13.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	72.2%	(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	79.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
	66.1%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	79.0%	(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
	65.0%	(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
	69.5%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
✓	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
	91.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)))
	76.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (.f32 (PI.f32) x))))
✓	85.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.7%	(.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
	91.9%	(.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
	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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #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)))
	91.2%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	84.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	66.4%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
	94.0%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
	75.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
	80.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
	85.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
	80.9%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
	66.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.8%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) x) x (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	84.7%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	72.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	13.5%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	91.1%	(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) #s(literal 1 binary32)) tau)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	84.9%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32))) #s(literal 0 binary32)) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
	60.8%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) (.f32 tau x)))))
	72.2%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
	72.1%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (* (* (PI) x) tau) (* (neg (PI)) x)) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))))
	71.3%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
	70.8%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	71.6%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	65.2%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) x))))
	70.7%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	71.6%	(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
	85.2%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
	80.4%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	76.8%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau 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 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	97.1%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
	54.5%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
✓	6.3%	#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
	76.8%	#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.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 x x) tau) (.f32 (PI.f32) (PI.f32)))))
	97.0%	#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
	78.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))
✓	65.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 9 729 to 3 029 computations (68.9% saved)

regimes162.0ms (2.8%)

Memory

-24.1MiB live, 305.5MiB allocated; 49ms collecting garbage

Counts

137 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
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(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
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(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
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#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
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(.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)))
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#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
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(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
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(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
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(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
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(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
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(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
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(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.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 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.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 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
(/.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 (PI.f32) x) tau (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau 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 (PI.f32) x)) (.f32 tau x)) (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (.f32 (PI.f32) (*.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)) tau) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.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)) (.f32 tau x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (.f32 (neg.f32 (PI.f32)) x)))
(/.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 (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 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (* (PI) x) tau) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 tau x)) (fma.f32 (PI.f32) x (PI.f32)))) (cos.f32 (fma.f32 (.f32 (PI.f32) x) tau (fma.f32 (PI.f32) x (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (.f32 (PI.f32) (.f32 tau x)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (PI.f32) (.f32 tau x))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (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 (.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))))

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:

45.0ms	(*.f32 x (PI.f32))
37.0ms	tau
36.0ms	x
33.0ms	(.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
97.9%	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)

regimes118.0ms (2.1%)

Memory

21.3MiB live, 254.2MiB allocated; 24ms collecting garbage

Counts

111 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
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(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) #s(approx (* (* (PI) (* tau x)) (* (PI) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 x tau) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.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 x x) tau) (.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau 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 x x) tau) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 tau (.f32 x x)) (*.f32 (PI.f32) (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 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) x) tau)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) (.f32 x (*.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 (.f32 (.f32 (neg.f32 (PI.f32)) x) (*.f32 tau x)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.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 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (PI.f32) (*.f32 tau x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (+.f32 x #s(literal 1 binary32)) (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 (+.f32 x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 tau x)) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))) tau) (.f32 x x) (.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.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 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
(.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 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau)))

Calls

4 calls:

32.0ms	x
28.0ms	(.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))))
28.0ms	(*.f32 x (PI.f32))
26.0ms	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)

regimes98.0ms (1.7%)

Memory

0.8MiB live, 193.2MiB allocated; 19ms collecting garbage

Counts

88 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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)))
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(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x)) tau) (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (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)))

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:

24.0ms	x
24.0ms	tau
23.0ms	(.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))))
23.0ms	(*.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)

regimes90.0ms (1.6%)

Memory

-3.4MiB live, 190.3MiB allocated; 12ms collecting garbage

Counts

87 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
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(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))

Outputs

#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) tau) (*.f32 (PI.f32) (PI.f32))))))

Calls

4 calls:

23.0ms	(.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))))
23.0ms	tau
20.0ms	(*.f32 x (PI.f32))
20.0ms	x

Results

Accuracy	Segments	Branch
97.1%	1	`(*.f32 x (PI.f32))`
97.1%	1	`x`
97.1%	1	`tau`
97.1%	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)

regimes89.0ms (1.6%)

Memory

-7.6MiB live, 190.8MiB allocated; 12ms collecting garbage

Counts

86 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (* (* (PI) x) tau) (* (neg (PI)) x)) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) (.f32 tau x)))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (neg.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32))) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32))) #s(literal 0 binary32)) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) #s(literal 1 binary32)) tau)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau))) (PI.f32)) x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) x) x (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x)) tau) (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))))
#s(approx (* (/ (sin (* (* (PI) x) tau)) (* (PI) x)) (/ (sin (* (PI) x)) (* (* (PI) x) tau))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))

Outputs

#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 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))

Calls

4 calls:

23.0ms	x
21.0ms	tau
21.0ms	(*.f32 x (PI.f32))
20.0ms	(.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
97.0%	1	`(*.f32 x (PI.f32))`
97.0%	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))))`
97.0%	1	`x`
97.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes149.0ms (2.6%)

Memory

-10.8MiB live, 181.1MiB allocated; 9ms collecting garbage

Counts

84 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
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(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
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#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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
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(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
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(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
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(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
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(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32))) #s(literal 0 binary32)) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.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 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)) #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) x) x #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) #s(literal 1 binary32)) tau)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau))) (PI.f32)) x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) x) x (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x)) tau) (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.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 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #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))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) tau)))) (.f32 (.f32 x x) (.f32 x x))))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))

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 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #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))))

Calls

4 calls:

55.0ms	x
50.0ms	(.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))))
21.0ms	(*.f32 x (PI.f32))
20.0ms	tau

Results

Accuracy	Segments	Branch
94.7%	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))))`
94.7%	1	`tau`
94.7%	1	`(*.f32 x (PI.f32))`
94.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes126.0ms (2.2%)

Memory

22.8MiB live, 166.0MiB allocated; 6ms collecting garbage

Counts

82 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
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(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x))) #s(literal 1 binary32)) tau)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (* (PI) x) tau)) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau))) (PI.f32)) x)
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) x) x (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) x) x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (+.f32 (/.f32 (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x)) tau) (/.f32 #s(literal 1 binary32) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (PI.f32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (PI.f32)) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32))) (.f32 x x))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 #s(approx (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (.f32 (fma.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau) #s(literal 1/120 binary32))) (.f32 x x))) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))

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 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))

Calls

4 calls:

41.0ms	(*.f32 x (PI.f32))
34.0ms	tau
28.0ms	(.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))))
18.0ms	x

Results

Accuracy	Segments	Branch
91.9%	1	`(*.f32 x (PI.f32))`
91.9%	1	`x`
91.9%	1	`tau`
91.9%	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)

regimes83.0ms (1.4%)

Memory

4.9MiB live, 98.1MiB allocated; 4ms collecting garbage

Counts

59 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (* (* (PI) x) tau) (* (neg (PI)) x)) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.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 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (neg.f32 (PI.f32)) (.f32 tau x)))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 #s(approx (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 #s(approx (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (neg.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (+ (* (/ (+ (* (* 1/120 (* x x)) (* (* (PI) (PI)) (* (PI) (PI)))) (* (* (PI) (PI)) -1/6)) tau) (* x x)) (/ 1 tau)) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) #s(approx (/ (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) tau) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau)) #s(literal 1/120 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))) #s(literal 1/120 binary32))) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32))) #s(literal 0 binary32)) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (PI.f32) (.f32 tau x)))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)) x) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (PI.f32) (*.f32 tau x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (neg.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32)) (PI.f32) (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 (PI.f32)) x)))

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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))

Calls

4 calls:

38.0ms	tau
15.0ms	(*.f32 x (PI.f32))
14.0ms	x
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))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes123.0ms (2.2%)

Memory

-42.2MiB live, 56.6MiB allocated; 4ms collecting garbage

Counts

40 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (* (* (PI) x) tau) (* (neg (PI)) x)) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

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 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Calls

4 calls:

74.0ms	(.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	(*.f32 x (PI.f32))
9.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (1%)

Memory

32.8MiB live, 78.0MiB 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) #s(literal 1/120 binary32)))) (.f32 x x))) (.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 #s(approx (+ (* (+ (* (* (* (* (* (PI) (PI)) (PI)) (PI)) (* x x)) 1/120) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx ( (* (* (PI) x) tau) (* (neg (PI)) x)) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg.f32 (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))

Outputs

#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))

Calls

4 calls:

27.0ms	x
9.0ms	(*.f32 x (PI.f32))
9.0ms	tau
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))))

Results

Accuracy	Segments	Branch
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`x`
85.2%	1	`tau`
85.2%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes76.0ms (1.3%)

Memory

-51.6MiB live, 67.9MiB allocated; 39ms collecting garbage

Counts

29 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.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)))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (*.f32 x (PI.f32))))

Calls

4 calls:

34.0ms	tau
26.0ms	(.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))))
7.0ms	x
7.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
84.2%	1	`tau`
84.2%	1	`(*.f32 x (PI.f32))`
84.2%	1	`x`
84.2%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (0.9%)

Memory

16.1MiB live, 62.8MiB allocated; 3ms collecting garbage

Counts

27 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal -1/6 binary32))) (.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (*.f32 x (PI.f32))))

Calls

4 calls:

30.0ms	tau
7.0ms	(.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))))
7.0ms	(*.f32 x (PI.f32))
7.0ms	x

Results

Accuracy	Segments	Branch
84.2%	1	`tau`
84.2%	1	`(*.f32 x (PI.f32))`
84.2%	1	`x`
84.2%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes32.0ms (0.6%)

Memory

-13.7MiB live, 79.0MiB allocated; 6ms collecting garbage

Counts

26 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) tau)))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) tau (.f32 (.f32 (.f32 tau tau) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32))))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)) (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 tau 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))

Outputs

(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau)))

Calls

4 calls:

9.0ms	x
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))))
6.0ms	tau

Results

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

regimes24.0ms (0.4%)

Memory

15.2MiB live, 66.2MiB allocated; 6ms collecting garbage

Counts

18 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32))) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/120 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) x))) (.f32 tau tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) tau)) #s(approx (sin (* (* (PI) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) (/.f32 #s(approx (sin ( (* (PI) x) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (PI.f32) tau)) x)) (.f32 (.f32 (.f32 (PI.f32) x) tau) (*.f32 (neg.f32 (PI.f32)) x))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 x x)) (.f32 (.f32 tau tau) (.f32 tau tau))) #s(literal -1/120 binary32) (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))

Outputs

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

Calls

4 calls:

9.0ms	(*.f32 x (PI.f32))
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
5.0ms	tau

Results

Accuracy	Segments	Branch
80.7%	1	`(*.f32 x (PI.f32))`
80.7%	1	`x`
80.7%	1	`tau`
80.7%	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)

regimes16.0ms (0.3%)

Memory

19.3MiB live, 66.4MiB allocated; 1ms collecting garbage

Counts

13 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 #s(literal -1 binary32) (*.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) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))))
(/.f32 #s(approx (* (sin (* (PI) (* tau x))) (sin (* (PI) x))) (.f32 (.f32 (.f32 x x) tau) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 #s(approx (sin (* x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (PI.f32)) x)) (.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
(.f32 #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x)) #s(approx (/ (sin ( (* (PI) x) tau)) (* (* (* (PI) x) tau) (* (neg (PI)) x))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) (.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x))
(.f32 #s(approx (/ (sin ( (PI) x)) (* (* tau x) (PI))) (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (.f32 x x) (/.f32 #s(literal 1 binary32) tau))) #s(approx (/ (sin (* (* tau x) (PI))) (* (PI) x)) tau))

Outputs

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

Calls

4 calls:

4.0ms	tau
4.0ms	(.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))))
4.0ms	x
4.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.1%)

Memory

-23.0MiB live, 24.3MiB allocated; 1ms collecting garbage

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

Outputs

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.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

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)

regimes6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Accuracy

Total -18.9b remaining (-170.1%)

Threshold costs -18.9b (-170.1%)

Counts

3 → 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 (+ (* (* (PI) x) tau) (PI))) (sin (+ (* (PI) x) (PI)))) (* (* (neg (PI)) x) (neg (* (PI) (* tau x))))) #s(literal 0 binary32))

#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.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:

1.0ms	(.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))))
1.0ms	(*.f32 x (PI.f32))
1.0ms	tau
1.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations1.1s (19.9%)

Memory

-81.4MiB live, 840.8MiB allocated; 936ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 766 to 146 computations (80.9% saved)

preprocess180.0ms (3.2%)

Memory

27.2MiB live, 410.2MiB allocated; 58ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 4 638 to 1 820 computations (60.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze25.0ms (0.4%)

sample1.0s (18.4%)

explain160.0ms (2.8%)

preprocess42.0ms (0.7%)

series31.0ms (0.5%)

rewrite235.0ms (4.1%)

eval9.0ms (0.2%)

prune18.0ms (0.3%)

series56.0ms (1%)

rewrite242.0ms (4.2%)

eval63.0ms (1.1%)

prune63.0ms (1.1%)

series55.0ms (1%)

rewrite342.0ms (6%)

eval76.0ms (1.3%)

prune91.0ms (1.6%)

series59.0ms (1%)

rewrite235.0ms (4.1%)

eval50.0ms (0.9%)

prune172.0ms (3%)

regimes162.0ms (2.8%)

regimes118.0ms (2.1%)

regimes98.0ms (1.7%)

regimes90.0ms (1.6%)

regimes89.0ms (1.6%)

regimes149.0ms (2.6%)

regimes126.0ms (2.2%)

regimes83.0ms (1.4%)

regimes123.0ms (2.2%)

regimes57.0ms (1%)

regimes76.0ms (1.3%)

regimes52.0ms (0.9%)

regimes32.0ms (0.6%)

regimes24.0ms (0.4%)

regimes16.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

derivations1.1s (19.9%)

preprocess180.0ms (3.2%)

end0.0ms (0%)

Profiling