Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze59.0ms (1.5%)

Memory

-22.9MiB live, 39.1MiB 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 (29.5%)

Memory

56.5MiB live, 1 464.0MiB allocated; 238ms collecting garbage

Samples

901.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-div: 197.0ms (29.6% of total)

ival-mult: 175.0ms (26.3% of total)

ival-sin: 124.0ms (18.6% of total)

ival-sinu: 117.0ms (17.6% of total)

ival-pi: 45.0ms (6.8% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

const: 2.0ms (0.3% of total)

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

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

Bogosity

explain165.0ms (4.2%)

Memory

-41.3MiB live, 113.7MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9840288758277893 1.9077208042144775)	`(sin.f32 (*.f32 x (PI.f32)))`
1	-	1	(0.5644249320030212 3.485048294067383)	`(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	-	`(.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	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0.0

Recall?

0.0

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

70.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 30.0ms (53.2% of total)

ival-sinu: 10.0ms (17.7% of total)

ival-sin: 7.0ms (12.4% of total)

ival-div: 6.0ms (10.6% of total)

ival-pi: 2.0ms (3.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess153.0ms (3.9%)

Memory

23.8MiB live, 116.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (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
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7772	21
0	8015	21

Stop Event

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

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))))

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))))

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

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

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))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series40.0ms (1%)

Memory

7.4MiB live, 56.2MiB allocated; 7ms 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
16.0ms	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))))
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
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))))
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))))

rewrite167.0ms (4.2%)

Memory

-28.8MiB live, 249.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1283
1	1583	1261
0	8094	1208

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 101

Calls

Call 1

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

eval11.0ms (0.3%)

Memory: 24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 591 to 466 computations (87% saved)

prune23.0ms (0.6%)

Memory

-4.4MiB live, 42.9MiB allocated; 2ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	106	24	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	24	131

Accuracy

99.5%

Counts

131 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 tau (*.f32 (PI.f32) x))))
	79.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	77.2%	(/.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 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x))))
	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
▶	79.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
▶	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	84.0%	(.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))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	83.4%	(.f32 #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))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.6%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.6%	#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 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	64.7%	#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)))
▶	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 188 to 666 computations (43.9% saved)

series50.0ms (1.3%)

Memory

-19.8MiB live, 81.7MiB allocated; 6ms collecting garbage

Counts

27 → 133

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
14.0ms	tau	@	-inf	((/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (* (PI) x) (* tau (* (PI) x)))) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (* (PI) x) (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (* (neg (* (PI) x)) (* tau (* (PI) x)))) (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* tau (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (* (PI) x))) (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* tau (* (PI) x))) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
8.0ms	x	@	inf	((/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (* (PI) x) (* tau (* (PI) x)))) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (* (PI) x) (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (* (neg (* (PI) x)) (* tau (* (PI) x)))) (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* tau (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (* (PI) x))) (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* tau (* (PI) x))) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
7.0ms	x	@	-inf	((/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (* (PI) x) (* tau (* (PI) x)))) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (* (PI) x) (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (* (neg (* (PI) x)) (* tau (* (PI) x)))) (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* tau (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (* (PI) x))) (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* tau (* (PI) x))) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
6.0ms	x	@	0	((/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (* (PI) x) (* tau (* (PI) x)))) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (* (PI) x) (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (* (neg (* (PI) x)) (* tau (* (PI) x)))) (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* tau (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (* (PI) x))) (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* tau (* (PI) x))) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))
6.0ms	tau	@	inf	((/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (* (PI) x) (* tau (* (PI) x)))) (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (* (PI) x) (* tau (* (PI) x))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (/ (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (* (neg (* (PI) x)) (* tau (* (PI) x)))) (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (neg (* (PI) x)) (* tau (* (PI) x))) (neg (* (PI) x)) (/ (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (* tau (* (PI) x))) (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* tau (* (PI) x))) tau) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)))

rewrite188.0ms (4.8%)

Memory

13.0MiB live, 246.9MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	5366
1	4188	5229
0	8375	5013

Stop Event

1×	iter limit
1×	node limit

Counts

160 → 462

Calls

Call 1

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

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

eval42.0ms (1.1%)

Memory: 28.5MiB live, 103.6MiB allocated; 16ms collecting garbage
Compiler: Compiled 12 183 to 1 289 computations (89.4% saved)

prune69.0ms (1.8%)

Memory

7.0MiB live, 137.1MiB allocated; 26ms collecting garbage

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	385	30	415
Fresh	12	7	19
Picked	2	3	5
Done	0	0	0
Total	399	40	439

Accuracy

99.6%

Counts

439 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 x (PI.f32) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (.f32 x (PI.f32)) tau)))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 tau (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (.f32 (*.f32 x (PI.f32)) tau)))
	79.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
▶	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
	77.2%	(/.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 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x))))
▶	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	79.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
✓	79.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	53.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau (PI.f32)) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
✓	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau (PI.f32)) x))
	83.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
	71.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	71.0%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	63.6%	(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	64.7%	(/.f32 #s(approx (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 tau (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.0%	(.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))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
▶	98.0%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
	97.7%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))))
▶	78.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.6%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	77.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
	64.7%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 983 to 1 144 computations (42.3% saved)

series79.0ms (2%)

Memory

-5.3MiB live, 146.1MiB allocated; 39ms collecting garbage

Counts

34 → 121

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((* (sin (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* x (PI))) 0 (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (+ (* (pow (* (* x (PI)) tau) 2) -1/6) 1) (pow (* (* x (PI)) tau) 2) 2 -1/6 1 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* tau (* (PI) x))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (neg (* tau (* (PI) x))) (* (PI) x)) (neg (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI))) (neg tau))
11.0ms	x	@	-inf	((* (sin (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* x (PI))) 0 (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (+ (* (pow (* (* x (PI)) tau) 2) -1/6) 1) (pow (* (* x (PI)) tau) 2) 2 -1/6 1 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* tau (* (PI) x))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (neg (* tau (* (PI) x))) (* (PI) x)) (neg (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI))) (neg tau))
9.0ms	tau	@	inf	((* (sin (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* x (PI))) 0 (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (+ (* (pow (* (* x (PI)) tau) 2) -1/6) 1) (pow (* (* x (PI)) tau) 2) 2 -1/6 1 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* tau (* (PI) x))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (neg (* tau (* (PI) x))) (* (PI) x)) (neg (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI))) (neg tau))
7.0ms	tau	@	-inf	((* (sin (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* x (PI))) 0 (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (+ (* (pow (* (* x (PI)) tau) 2) -1/6) 1) (pow (* (* x (PI)) tau) 2) 2 -1/6 1 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* tau (* (PI) x))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (neg (* tau (* (PI) x))) (* (PI) x)) (neg (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI))) (neg tau))
6.0ms	tau	@	0	((* (sin (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (/ (sin (* x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ 0 (* x (PI))) 0 (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (+ (* (pow (* (* x (PI)) tau) 2) -1/6) 1) (pow (* (* x (PI)) tau) 2) 2 -1/6 1 (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* tau (* (PI) x))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* tau x) (sin (* (PI) x)) (* (PI) x) (* (neg (* tau (* (PI) x))) (* (PI) x)) (neg (* tau (* (PI) x))) (* tau (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (/ (sin (* x (PI))) (* x (PI)))) (* (neg tau) (* x (PI))) (neg tau))

rewrite189.0ms (4.8%)

Memory

36.1MiB live, 265.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	4407
1	3803	4293
0	8716	4121

Stop Event

1×	iter limit
1×	node limit

Counts

155 → 361

Calls

Call 1

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

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

eval82.0ms (2.1%)

Memory: -25.7MiB live, 121.0MiB allocated; 58ms collecting garbage
Compiler: Compiled 16 574 to 1 597 computations (90.4% saved)

prune56.0ms (1.4%)

Memory

12.1MiB live, 156.2MiB allocated; 8ms collecting garbage

Pruning

50 alts after pruning (47 fresh and 3 done)

	Pruned	Kept	Total
New	501	26	527
Fresh	11	21	32
Picked	4	1	5
Done	1	2	3
Total	517	50	567

Accuracy

99.8%

Counts

567 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.1%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	81.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (PI.f32))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 tau (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (.f32 (*.f32 x (PI.f32)) tau)))
	79.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
▶	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (*.f32 (neg.f32 tau) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	81.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (PI.f32)) x))
	59.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
✓	79.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	53.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	80.3%	(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	80.3%	(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
▶	97.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau (PI.f32)) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau (PI.f32)) x))
	83.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
	71.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x)))
	83.3%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	78.3%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	71.0%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	63.6%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (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 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	63.6%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	64.7%	(/.f32 #s(approx (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 tau (.f32 (PI.f32) x)))
	81.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.0%	(.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))))
✓	98.0%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
	79.6%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))))
	83.8%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.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))) (.f32 (*.f32 x (PI.f32)) tau)))
	83.4%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
	70.8%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32)))))
	97.7%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))))
	78.3%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	62.0%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	69.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	78.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.6%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	64.7%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* x (PI))) #s(literal 0 binary32)))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 663 to 1 578 computations (40.7% saved)

series40.0ms (1%)

Memory

-10.9MiB live, 82.8MiB allocated; 4ms collecting garbage

Counts

38 → 153

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite197.0ms (5%)

Memory

13.5MiB live, 293.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	736	5777
1	4569	5646
0	8419	5414

Stop Event

1×	iter limit
1×	node limit

Counts

191 → 340

Calls

Call 1

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

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

eval32.0ms (0.8%)

Memory: 9.5MiB live, 54.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 10 862 to 1 251 computations (88.5% saved)

prune150.0ms (3.8%)

Memory

10.4MiB live, 108.8MiB allocated; 130ms collecting garbage

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	328	18	346
Fresh	11	31	42
Picked	3	2	5
Done	0	3	3
Total	342	54	396

Accuracy

99.8%

Counts

396 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
	81.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (PI.f32))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (.f32 (*.f32 x (PI.f32)) tau)))
	79.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (neg.f32 (.f32 (PI.f32) x))))
	81.2%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	81.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) x) (PI.f32)))
	59.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
	79.8%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (*.f32 (neg.f32 tau) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
	81.0%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (PI.f32)) x))
	59.5%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
✓	79.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	53.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) tau) x))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	80.3%	(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
	80.3%	(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	71.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
✓	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) #s(approx ( x (* (* x (PI)) tau)) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau))))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau (PI.f32)) x))
	83.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
	71.1%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x)))
	52.7%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	4.4%	(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (PI.f32) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	83.3%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	78.3%	(/.f32 (.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	64.9%	(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)))) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	71.0%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
	63.6%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (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 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	63.6%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	64.7%	(/.f32 #s(approx (* (sin (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 tau (.f32 (PI.f32) x)))
	81.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.0%	(.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))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (*.f32 (PI.f32) x)) tau)))
	97.2%	(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)) x)))
✓	98.0%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
	79.6%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (.f32 (PI.f32) x) (.f32 (*.f32 tau x) (PI.f32))))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))))
	83.8%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.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))) (.f32 (*.f32 x (PI.f32)) tau)))
	83.4%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
	70.8%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32)))))
	97.7%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))))
	78.3%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
	62.0%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	69.7%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	78.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	77.6%	#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (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)))
	64.7%	#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* x (PI))) #s(literal 0 binary32)))
✓	63.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 261 to 1 344 computations (68.5% saved)

regimes114.0ms (2.9%)

Memory

-12.2MiB live, 180.5MiB allocated; 28ms collecting garbage

Counts

99 → 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 (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* x (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (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 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (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 (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (PI.f32) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) tau) x))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)))) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #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 ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.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))) (.f32 (*.f32 x (PI.f32)) tau)))
(.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 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) #s(approx ( x (* (* x (PI)) tau)) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.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 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (*.f32 (PI.f32) x)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.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 tau (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau (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 tau (*.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 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 tau) x) (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 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 x (PI.f32)) tau)) tau) (sin.f32 (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) tau) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (PI.f32))))
(/.f32 (.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (PI.f32))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (PI.f32))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x) (PI.f32)) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 x (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 (PI.f32) tau) x (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 x (PI.f32) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (.f32 (.f32 x (PI.f32)) tau)))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (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))) (/.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))) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (*.f32 (neg.f32 tau) (log.f32 (pow.f32 (exp.f32 (PI.f32)) x))))
(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (/.f32 (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) tau) x) #s(literal 2 binary32)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 (neg.f32 tau) (*.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:

26.0ms	x
26.0ms	(*.f32 x (PI.f32))
26.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
23.0ms	tau

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)

regimes71.0ms (1.8%)

Memory

9.1MiB live, 198.1MiB allocated; 10ms collecting garbage

Counts

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

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

Calls

4 calls:

17.0ms	(*.f32 x (PI.f32))
17.0ms	tau
17.0ms	x
17.0ms	(.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
98.0%	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

-13.2MiB live, 126.0MiB allocated; 6ms 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 (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* x (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (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 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (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 (* tau (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau x) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32))) (.f32 (neg.f32 tau) (.f32 x (PI.f32))))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (PI.f32) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 (PI.f32) tau) x))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (.f32 tau x) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( (PI) x) (PI)) (.f32 (+.f32 (/.f32 (PI.f32) x) (PI.f32)) x))) #s(approx (sin ( tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (/ (sin ( x (PI))) (* x (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) x (fma.f32 (.f32 #s(literal 0 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
(/.f32 (.f32 #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) x) (pow.f32 (neg.f32 (PI.f32)) #s(literal 3 binary32)))) x (neg.f32 (PI.f32))) x #s(literal 0 binary32))) #s(approx (sin (* tau (* (PI) x))) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #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 ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.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))) (.f32 (*.f32 x (PI.f32)) tau)))
(.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 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 x (PI.f32)) tau) (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) #s(approx ( x (* (* x (PI)) tau)) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 tau (PI.f32)) x)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.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 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 (neg.f32 tau) x) (PI.f32)) (PI.f32)) x))
(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))

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

Calls

4 calls:

17.0ms	tau
15.0ms	(*.f32 x (PI.f32))
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))))
14.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes49.0ms (1.3%)

Memory

-11.3MiB live, 83.6MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

4 calls:

14.0ms	x
12.0ms	(*.f32 x (PI.f32))
11.0ms	tau
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (1.1%)

Memory

19.5MiB live, 64.9MiB allocated; 3ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
10.0ms	(*.f32 x (PI.f32))
9.0ms	x

Results

Accuracy	Segments	Branch
84.0%	1	`(*.f32 x (PI.f32))`
84.0%	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))))`
84.0%	1	`x`
84.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes42.0ms (1.1%)

Memory

12.3MiB live, 56.6MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.8%	1	`tau`
83.8%	1	`(*.f32 x (PI.f32))`
83.8%	1	`x`
83.8%	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))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes52.0ms (1.3%)

Memory

-30.3MiB live, 63.8MiB allocated; 28ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

18.0ms	(.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))
9.0ms	tau
9.0ms	x

Results

Accuracy	Segments	Branch
83.4%	1	`(*.f32 x (PI.f32))`
83.4%	1	`x`
83.4%	1	`tau`
83.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes36.0ms (0.9%)

Memory

7.8MiB live, 52.1MiB allocated; 10ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	(*.f32 x (PI.f32))
7.0ms	tau
7.0ms	x
7.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
78.6%	1	`(*.f32 x (PI.f32))`
78.6%	1	`x`
78.6%	1	`tau`
78.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes33.0ms (0.9%)

Memory

10.4MiB live, 55.0MiB allocated; 9ms collecting garbage

Counts

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

Calls

4 calls:

13.0ms	(*.f32 x (PI.f32))
7.0ms	tau
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
77.6%	1	`(*.f32 x (PI.f32))`
77.6%	1	`x`
77.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
77.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes19.0ms (0.5%)

Memory

-14.4MiB live, 41.9MiB allocated; 7ms 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 (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ 0 (* x (PI))) #s(literal 0 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(approx (* (sin (+ (* (PI) x) (PI))) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (fma.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x #s(literal 0 binary32))) x)) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) x) tau #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (sin (+ (* (* tau x) (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 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))) tau)) x #s(literal 0 binary32)) x)) (.f32 (neg.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) tau) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (sin (* (PI) x)) (sin (* tau (* (PI) x)))) (* (PI) (* x (* (* x (PI)) tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) tau) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

8.0ms	tau
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	x

Results

Accuracy	Segments	Branch
69.7%	1	`tau`
69.7%	1	`(*.f32 x (PI.f32))`
69.7%	1	`x`
69.7%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes13.0ms (0.3%)

Memory

35.9MiB live, 35.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.7%	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))))`
64.7%	1	`tau`
64.7%	1	`(*.f32 x (PI.f32))`
64.7%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.3%)

Memory

-15.7MiB live, 30.8MiB allocated; 4ms collecting garbage

Accuracy

Total -18.5b remaining (-160.2%)

Threshold costs -18.5b (-160.2%)

Counts

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

5.0ms	x
2.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms	(*.f32 x (PI.f32))
2.0ms	tau

Results

Accuracy	Segments	Branch
63.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
63.9%	1	`tau`
63.9%	1	`(*.f32 x (PI.f32))`
63.9%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify48.0ms (1.2%)

Memory

5.2MiB live, 97.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	343
1	104	343
2	206	343
3	497	343
4	1091	343
5	4055	343

Stop Event

1×	node limit

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

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

derivations320.0ms (8.2%)

Memory

3.1MiB live, 337.0MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 343 to 74 computations (78.4% saved)

preprocess53.0ms (1.4%)

Memory

-18.1MiB live, 78.8MiB allocated; 30ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 896 to 248 computations (72.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze59.0ms (1.5%)

sample1.2s (29.5%)

explain165.0ms (4.2%)

preprocess153.0ms (3.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series40.0ms (1%)

rewrite167.0ms (4.2%)

eval11.0ms (0.3%)

prune23.0ms (0.6%)

series50.0ms (1.3%)

rewrite188.0ms (4.8%)

eval42.0ms (1.1%)

prune69.0ms (1.8%)

series79.0ms (2%)

rewrite189.0ms (4.8%)

eval82.0ms (2.1%)

prune56.0ms (1.4%)

series40.0ms (1%)

rewrite197.0ms (5%)

eval32.0ms (0.8%)

prune150.0ms (3.8%)

regimes114.0ms (2.9%)

regimes71.0ms (1.8%)

regimes63.0ms (1.6%)

regimes49.0ms (1.3%)

regimes42.0ms (1.1%)

regimes42.0ms (1.1%)

regimes52.0ms (1.3%)

regimes36.0ms (0.9%)

regimes33.0ms (0.9%)

regimes19.0ms (0.5%)

regimes13.0ms (0.3%)

regimes12.0ms (0.3%)

simplify48.0ms (1.2%)

derivations320.0ms (8.2%)

preprocess53.0ms (1.4%)

end0.0ms (0%)

Profiling