Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze45.0ms (1.1%)

Memory

-32.8MiB live, 30.7MiB allocated; 38ms 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)

sample1.2s (29.3%)

Memory

26.7MiB live, 1 617.7MiB allocated; 246ms collecting garbage

Samples

859.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 504.0ms

ival-sin: 156.0ms (30.9% of total)

ival-mult!: 148.0ms (29.3% of total)

ival-sinu: 133.0ms (26.4% of total)

ival-div!: 65.0ms (12.9% of total)

adjust: 1.0ms (0.2% of total)

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

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

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

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

Bogosity

explain163.0ms (4.1%)

Memory

10.8MiB live, 200.7MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.8902539610862732 2.238614559173584)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.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))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	2
-	0	0	253

Precision?

1.0

Recall?

0.3333333333333333

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

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 (32.5% of total)

ival-sin: 6.0ms (24.3% of total)

ival-mult!: 6.0ms (24.3% of total)

ival-div!: 4.0ms (16.2% of total)

adjust: 0.0ms (0% of total)

preprocess41.0ms (1%)

Memory

-4.3MiB live, 41.5MiB allocated; 4ms 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
▶	98.1%	(.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))))

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series35.0ms (0.9%)

Memory

16.5MiB live, 65.3MiB allocated; 9ms 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
13.0ms	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	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))))
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))))

rewrite165.0ms (4.2%)

Memory

-1.9MiB live, 230.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

48 → 101

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 297 to 465 computations (85.9% saved)

prune16.0ms (0.4%)

Memory

-12.5MiB live, 34.1MiB allocated; 1ms collecting garbage

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	93	23	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	24	117

Accuracy

99.8%

Counts

117 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.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))
	97.4%	(/.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))
	98.0%	(/.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)))
	97.5%	(/.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)))
	97.7%	(/.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))))
	82.4%	(/.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)))
	79.7%	(/.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))))
	98.0%	(/.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)))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.7%	(.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)))
▶	79.7%	(.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))))
✓	98.1%	(.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))))
▶	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.0%	(.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)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.3%	(.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))))
	98.0%	(.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)))
	80.4%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	86.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	63.3%	#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)))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
▶	62.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 257 to 704 computations (44% saved)

series117.0ms (2.9%)

Memory

-30.9MiB live, 83.2MiB allocated; 93ms collecting garbage

Counts

32 → 125

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 1))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 1))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))))
#s(approx (sin (* (* tau x) (PI))) #s(hole binary32 (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))))
#s(approx (* (* tau x) (PI)) #s(hole binary32 (* tau (* x (PI)))))
#s(approx (* tau x) #s(hole binary32 (* tau x)))
#s(approx x #s(hole binary32 x))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (PI))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))))
#s(approx (sin (* (PI) x)) #s(hole binary32 (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))))
#s(approx (* (PI) x) #s(hole binary32 (* x (PI))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))))
#s(approx (/ (sin (* (* 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 (/ (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 (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
#s(approx (pow (* (PI) x) 2) #s(hole binary32 (* (pow x 2) (pow (PI) 2))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 1))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* x (PI)) tau)) #s(hole binary32 1))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) #s(hole binary32 (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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))) #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 (+ (* (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) (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)) #s(hole binary32 (* -1 (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))))
#s(approx (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* (* tau x) (PI))) #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 (* (* 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 (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
#s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(hole binary32 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* x (PI)) tau)) #s(hole binary32 (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))))
#s(approx (sin (* x (PI))) #s(hole binary32 (sin (* x (PI)))))
#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 (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 (+ (* (PI) x) (PI)) #s(hole binary32 (* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) #s(hole binary32 (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))))
#s(approx (/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) 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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) 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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (sin (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #s(hole binary32 (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #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 (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) #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 (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) #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 (* (* tau x) (PI))) (* (* tau x) (PI))) #s(hole binary32 (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))
#s(approx (sin (* (* tau x) (PI))) #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 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 (* (* 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 (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(hole binary32 (/ (sin (* x (PI))) (* x (PI)))))
#s(approx (* (/ (sin (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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 (* (* tau x) (PI))) (* (* 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)) (* (* 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
77.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* 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))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
13.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* 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))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
8.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* 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))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
6.0ms	x	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* 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))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))
5.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* 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))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (neg (* (PI) x)))

rewrite173.0ms (4.4%)

Memory

21.7MiB live, 260.9MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	4918
0	621	4569
1	3354	4462
0	8315	4287

Stop Event

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

Counts

157 → 572

Calls

Call 1

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

eval33.0ms (0.8%)

Memory: -22.7MiB live, 68.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 002 to 1 391 computations (87.4% saved)

prune27.0ms (0.7%)

Memory

4.6MiB live, 59.3MiB allocated; 3ms collecting garbage

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	334	27	361
Fresh	16	2	18
Picked	2	3	5
Done	1	0	1
Total	353	32	385

Accuracy

99.9%

Counts

385 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	79.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (.f32 (*.f32 x tau) (PI.f32)))
	98.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) x))
	85.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (.f32 (PI.f32) x))
	70.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	82.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
▶	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 x tau) (PI.f32)))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 x tau) (PI.f32)))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	80.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.3%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
✓	79.7%	(.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))))
	79.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (neg.f32 (.f32 (PI.f32) x))))
	78.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))))) (neg.f32 (*.f32 (PI.f32) x))))
▶	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	70.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) #s(literal 1 binary32)))
	86.1%	(.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) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
▶	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
	85.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (.f32 (PI.f32) x)))
✓	97.3%	(.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))))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
	97.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau))))
✓	62.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 831 to 1 057 computations (42.3% saved)

series41.0ms (1%)

Memory

36.8MiB live, 83.7MiB allocated; 2ms collecting garbage

Counts

46 → 151

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau)) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x))
7.0ms	x	@	inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau)) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x))
6.0ms	x	@	0	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau)) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x))
5.0ms	tau	@	-inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau)) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x))
5.0ms	tau	@	inf	((/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ 0 (* (PI) x)) 0 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (* (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau)) (/ (sin (* (* x tau) (PI))) (* (PI) x)) (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (* tau x) (PI)) (* tau x))

rewrite222.0ms (5.6%)

Memory

11.9MiB live, 331.8MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	702	6255
0	777	5599
1	4158	5475
0	8615	5277

Stop Event

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

Counts

197 → 595

Calls

Call 1

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

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

eval51.0ms (1.3%)

Memory: -38.4MiB live, 101.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 19 313 to 2 169 computations (88.8% saved)

prune46.0ms (1.2%)

Memory

45.4MiB live, 95.5MiB allocated; 9ms collecting garbage

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	468	31	499
Fresh	9	15	24
Picked	4	1	5
Done	1	2	3
Total	482	49	531

Accuracy

99.9%

Counts

531 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	85.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (.f32 (PI.f32) x))
▶	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	79.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (.f32 (*.f32 x tau) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) x))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 tau (.f32 (neg.f32 (PI.f32)) x)))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 x (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
▶	82.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	71.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))
	79.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	79.7%	(/.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) tau) (*.f32 (PI.f32) x)))
	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 x tau) (PI.f32)))
	92.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (*.f32 x tau) (PI.f32)))
	70.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 x tau) (PI.f32)))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	80.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.3%	(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.1%	(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (PI.f32)))
	85.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)))
▶	85.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	71.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
✓	79.7%	(.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))))
	79.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (neg.f32 (.f32 (PI.f32) x))))
	78.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))))) (neg.f32 (*.f32 (PI.f32) x))))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 #s(approx (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1/6 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) (.f32 (PI.f32) x) (.f32 #s(literal 0 binary32) x)) (.f32 x (.f32 (PI.f32) x)))))
	85.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) (PI.f32) (.f32 #s(literal 0 binary32) x)) (.f32 (PI.f32) x))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) x (.f32 #s(literal 0 binary32) x)) (.f32 x x))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	70.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) #s(literal 1 binary32))))
	86.1%	(.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) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	69.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) tau))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau)) #s(literal 1/6 binary32) (/.f32 #s(literal 0 binary32) tau)) x (/.f32 #s(literal 1 binary32) tau)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
▶	98.1%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	80.3%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) (* (* tau x) (PI))) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	63.7%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	63.6%	(.f32 #s(approx (/ (sin ( (* x tau) (PI))) (* (PI) x)) tau) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
	79.8%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
▶	6.3%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) #s(literal 0 binary32))
✓	62.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 313 to 1 991 computations (39.9% saved)

series49.0ms (1.2%)

Memory

0.0MiB live, 94.8MiB allocated; 3ms collecting garbage

Counts

42 → 160

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	((* (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (* (* tau x) (PI))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* x tau) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))) (* (* x tau) (PI)))
8.0ms	x	@	inf	((* (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (* (* tau x) (PI))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* x tau) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))) (* (* x tau) (PI)))
7.0ms	tau	@	-inf	((* (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (* (* tau x) (PI))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* x tau) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))) (* (* x tau) (PI)))
7.0ms	tau	@	inf	((* (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (* (* tau x) (PI))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* x tau) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))) (* (* x tau) (PI)))
6.0ms	x	@	0	((* (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI)))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) 0 (/ (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (sin (* (PI) x)) (* (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x)))) (/ (/ (sin (* (* tau x) (PI))) tau) (* (PI) x)) (/ (sin (* (* tau x) (PI))) tau) (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (* (* -1 (* (PI) (PI))) x) (* -1 (* (PI) (PI))) -1 (* (PI) (PI)) 1/6 1 (/ 0 (PI)) (/ (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* x tau) (PI))) (* (PI) x))) (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (* x tau) (* (neg (* (* x tau) (PI))) (* (PI) x)) (neg (* (* x tau) (PI))) (* (* x tau) (PI)))

rewrite190.0ms (4.8%)

Memory

-1.2MiB live, 176.0MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	6605
0	894	5998
1	5089	5931
0	8237	5715

Stop Event

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

Counts

202 → 352

Calls

Call 1

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

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

eval44.0ms (1.1%)

Memory: -15.7MiB live, 87.1MiB allocated; 19ms collecting garbage
Compiler: Compiled 14 394 to 1 698 computations (88.2% saved)

prune61.0ms (1.5%)

Memory

-11.2MiB live, 126.1MiB allocated; 16ms collecting garbage

Pruning

62 alts after pruning (56 fresh and 6 done)

	Pruned	Kept	Total
New	348	20	368
Fresh	5	36	41
Picked	2	3	5
Done	0	3	3
Total	355	62	417

Accuracy

99.9%

Counts

417 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	85.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x))) (.f32 (PI.f32) x))
✓	69.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	69.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x (.f32 (PI.f32) tau))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	85.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))) (.f32 (PI.f32) x))
	79.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (.f32 (*.f32 x tau) (PI.f32)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x tau))) (.f32 (PI.f32) x))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 tau (.f32 (neg.f32 (PI.f32)) x)))
	82.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 x (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
	82.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	79.7%	(/.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) tau) (*.f32 (PI.f32) x)))
	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 x tau) (PI.f32)))) (*.f32 (PI.f32) x))
	92.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))) (.f32 (*.f32 x tau) (PI.f32)))
	70.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 x tau) (PI.f32)))
	86.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))) (.f32 (*.f32 tau x) (PI.f32)))
	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau))) (*.f32 (PI.f32) x))
	82.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32)))) (.f32 (.f32 (.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (PI.f32)) x))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x tau) (PI.f32)))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)))
	69.4%	(/.f32 (.f32 #s(approx (/ (/ (sin ( (* tau x) (PI))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	80.6%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.3%	(/.f32 #s(approx (* (/ (sin (* (* (PI) x) tau)) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	62.3%	(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 0 binary32) (.f32 tau tau)) #s(literal -1/2 binary32) #s(literal 0 binary32)) x (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	62.4%	(/.f32 #s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 x tau) (neg.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	63.1%	(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 x tau) (PI.f32)))
	71.3%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 tau)) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	85.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	85.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)))
	85.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	69.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) #s(literal 1 binary32))))
	85.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	63.6%	(.f32 (/.f32 (/.f32 #s(approx (sin ( (* tau x) (PI))) (.f32 (.f32 (PI.f32) x) tau)) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	71.3%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)))
✓	79.7%	(.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))))
	79.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) x)))))) (neg.f32 (.f32 (PI.f32) x))))
	78.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))))) (neg.f32 (*.f32 (PI.f32) x))))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 #s(approx (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) #s(literal -1/6 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) (.f32 (PI.f32) x) (.f32 #s(literal 0 binary32) x)) (.f32 x (.f32 (PI.f32) x)))))
	85.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) (PI.f32) (.f32 #s(literal 0 binary32) x)) (.f32 (PI.f32) x))))
	85.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal 1/6 binary32) x) (neg.f32 (.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32)) x) x (.f32 #s(literal 0 binary32) x)) (.f32 x x))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))))
	70.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) #s(approx (/ (+ (* (+ (* (+ (* (* (* -1 (* (PI) (PI))) x) 1/6) 0) x) 1) x) (/ 0 (PI))) x) #s(literal 1 binary32))))
	86.1%	(.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) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	86.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) tau))
	69.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) tau))
	85.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) tau) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x (/.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) tau)) #s(literal 1/6 binary32) (/.f32 #s(literal 0 binary32) tau)) x (/.f32 #s(literal 1 binary32) tau)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)))
	86.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin (+ ( (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
✓	98.1%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))))
	85.3%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
	69.7%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* tau x) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
	63.7%	(.f32 #s(approx (/ (sin ( (* (PI) x) tau)) (* (* tau x) (PI))) #s(literal 1 binary32)) #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) x) #s(literal 1/6 binary32) #s(literal 0 binary32)) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x)))
	80.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	63.6%	(.f32 #s(approx (/ (sin ( (* x tau) (PI))) (* (PI) x)) tau) (/.f32 #s(approx (/ (sin (+ (* (PI) x) (PI))) (neg (* (PI) x))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) tau))
	79.8%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
✓	6.3%	#s(approx (/ (* (sin (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* x tau) (PI))) #s(literal 0 binary32))
✓	62.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 5 532 to 1 762 computations (68.1% saved)

regimes128.0ms (3.2%)

Memory

3.1MiB live, 204.4MiB allocated; 41ms collecting garbage

Counts

102 → 1

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	tau
27.0ms	x
25.0ms	(*.f32 x (PI.f32))
25.0ms	(.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
98.1%	1	`(*.f32 x (PI.f32))`
98.1%	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))))`
98.1%	1	`x`
98.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes103.0ms (2.6%)

Memory

-7.2MiB live, 135.3MiB allocated; 9ms collecting garbage

Counts

75 → 1

Calls

Call 1

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

43.0ms	(*.f32 x (PI.f32))
20.0ms	tau
19.0ms	(.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
98.1%	1	`(*.f32 x (PI.f32))`
98.1%	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))))`
98.1%	1	`x`
98.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes118.0ms (3%)

Memory

30.7MiB live, 127.1MiB allocated; 9ms collecting garbage

Counts

74 → 1

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	(.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))))
20.0ms	x
18.0ms	tau
18.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f32 x (PI.f32))`
98.1%	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))))`
98.1%	1	`x`
98.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes79.0ms (2%)

Memory

13.0MiB live, 150.5MiB allocated; 7ms collecting garbage

Counts

70 → 1

Calls

Call 1

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

22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
19.0ms	x
18.0ms	tau
17.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
98.0%	1	`(*.f32 x (PI.f32))`
98.0%	1	`x`
98.0%	1	`tau`
98.0%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes63.0ms (1.6%)

Memory

-28.4MiB live, 116.3MiB allocated; 9ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	x
15.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	(*.f32 x (PI.f32))
14.0ms	tau

Results

Accuracy	Segments	Branch
97.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.8%	1	`tau`
97.8%	1	`(*.f32 x (PI.f32))`
97.8%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes68.0ms (1.7%)

Memory

11.6MiB live, 107.7MiB allocated; 21ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(*.f32 x (PI.f32))
15.0ms	tau
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
97.2%	1	`(*.f32 x (PI.f32))`
97.2%	1	`x`
97.2%	1	`tau`
97.2%	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)

regimes87.0ms (2.2%)

Memory

-4.2MiB live, 88.9MiB allocated; 3ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

37.0ms	tau
20.0ms	(*.f32 x (PI.f32))
13.0ms	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
86.1%	1	`(*.f32 x (PI.f32))`
86.1%	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))))`
86.1%	1	`x`
86.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes59.0ms (1.5%)

Memory

17.5MiB live, 111.7MiB allocated; 10ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Calls

4 calls:

16.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
15.0ms	x
13.0ms	(*.f32 x (PI.f32))
13.0ms	tau

Results

Accuracy	Segments	Branch
86.1%	1	`(*.f32 x (PI.f32))`
86.1%	1	`x`
86.1%	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))))`
86.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes28.0ms (0.7%)

Memory

-28.8MiB live, 63.3MiB allocated; 4ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	tau
7.0ms	(*.f32 x (PI.f32))
6.0ms	x
6.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
79.8%	1	`(*.f32 x (PI.f32))`
79.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
79.8%	1	`x`
79.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.4%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.7%	1	`tau`
63.7%	1	`(*.f32 x (PI.f32))`
63.7%	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))))`
63.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory

-25.4MiB live, 20.3MiB allocated; 3ms collecting garbage

Accuracy

Total -18.0b remaining (-150.5%)

Threshold costs -18b (-150.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.5%	1	`(*.f32 x (PI.f32))`
62.5%	1	`x`
62.5%	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))))`
62.5%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

derivations418.0ms (10.6%)

Memory

7.9MiB live, 443.3MiB allocated; 123ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 309 to 92 computations (70.2% saved)

preprocess94.0ms (2.4%)

Memory

1.8MiB live, 99.6MiB allocated; 13ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 896 to 904 computations (52.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze45.0ms (1.1%)

sample1.2s (29.3%)

explain163.0ms (4.1%)

preprocess41.0ms (1%)

series35.0ms (0.9%)

rewrite165.0ms (4.2%)

eval10.0ms (0.2%)

prune16.0ms (0.4%)

series117.0ms (2.9%)

rewrite173.0ms (4.4%)

eval33.0ms (0.8%)

prune27.0ms (0.7%)

series41.0ms (1%)

rewrite222.0ms (5.6%)

eval51.0ms (1.3%)

prune46.0ms (1.2%)

series49.0ms (1.2%)

rewrite190.0ms (4.8%)

eval44.0ms (1.1%)

prune61.0ms (1.5%)

regimes128.0ms (3.2%)

regimes103.0ms (2.6%)

regimes118.0ms (3%)

regimes79.0ms (2%)

regimes63.0ms (1.6%)

regimes68.0ms (1.7%)

regimes87.0ms (2.2%)

regimes59.0ms (1.5%)

regimes28.0ms (0.7%)

regimes14.0ms (0.4%)

regimes10.0ms (0.2%)

derivations418.0ms (10.6%)

preprocess94.0ms (2.4%)

end0.0ms (0%)

Profiling