Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze43.0ms (0.9%)

Memory

-10.1MiB live, 49.7MiB allocated; 24ms 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)

sample1.3s (29.1%)

Memory

55.1MiB live, 2 085.3MiB allocated; 188ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 738.0ms

ival-mult: 242.0ms (32.8% of total)

ival-sin: 169.0ms (22.9% of total)

ival-div: 153.0ms (20.7% of total)

ival-sinu: 115.0ms (15.6% of total)

ival-pi: 51.0ms (6.9% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

const: 2.0ms (0.3% of total)

ival-<=: 1.0ms (0.1% of total)

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

Bogosity

explain134.0ms (2.9%)

Memory

-31.5MiB live, 359.3MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9872276186943054 4.92069149017334)	`(sin.f32 (*.f32 x (PI.f32)))`
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	-	`(sin.f32 (.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	0	254

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

48.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (28% of total)

ival-sinu: 8.0ms (24.9% of total)

ival-sin: 7.0ms (21.8% of total)

ival-div: 6.0ms (18.7% of total)

ival-pi: 2.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess141.0ms (3.1%)

Memory

27.8MiB live, 173.0MiB allocated; 10ms 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)

series60.0ms (1.3%)

Memory

3.5MiB live, 97.8MiB allocated; 9ms collecting garbage

Counts

10 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	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))))
19.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
5.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

rewrite208.0ms (4.6%)

Memory

-13.0MiB live, 364.9MiB allocated; 100ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

48 → 101

Calls

Call 1

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

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

eval13.0ms (0.3%)

Memory: 0.5MiB live, 45.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 591 to 466 computations (87% saved)

prune23.0ms (0.5%)

Memory

25.0MiB live, 66.1MiB allocated; 6ms collecting garbage

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	111	19	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	20	131

Accuracy

99.9%

Counts

131 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	79.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (neg.f32 (.f32 (PI.f32) x))))
	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	81.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
▶	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	77.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
▶	81.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
✓	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))))
	82.2%	(.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))))
	85.5%	(.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)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	64.9%	#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)))
▶	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 947 to 542 computations (42.8% saved)

series92.0ms (2%)

Memory

10.3MiB live, 195.3MiB allocated; 45ms collecting garbage

Counts

32 → 134

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	tau	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
19.0ms	x	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
18.0ms	x	@	0	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
13.0ms	tau	@	inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))
8.0ms	tau	@	-inf	((/ (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (* (PI) x)) (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) tau x (PI) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (pow (* (* tau x) (PI)) 2) -1/6) 1) (pow (* (* tau x) (PI)) 2) 2 -1/6 (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* x (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (/ (sin (* (PI) x)) x) (* (PI) (* (* tau x) (PI))))

rewrite455.0ms (10%)

Memory

27.6MiB live, 464.2MiB allocated; 233ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	721	5508
0	778	5162
1	4392	5108
0	8322	4909

Stop Event

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

Counts

166 → 310

Calls

Call 1

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

eval40.0ms (0.9%)

Memory: 36.6MiB live, 128.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 13 288 to 1 500 computations (88.7% saved)

prune47.0ms (1%)

Memory

-7.0MiB live, 139.5MiB allocated; 8ms collecting garbage

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	402	30	432
Fresh	8	6	14
Picked	3	2	5
Done	0	1	1
Total	413	39	452

Accuracy

99.9%

Counts

452 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	71.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (sin ( x (PI))) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
✓	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	71.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	77.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (PI.f32)) x))
	81.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)))
	81.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
	59.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (* x (PI))) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
▶	80.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
▶	71.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	64.7%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (neg.f32 (.f32 (PI.f32) tau))) x #s(literal 0 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	64.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	63.8%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	63.7%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
✓	98.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.5%	(.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)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (PI.f32) (.f32 (*.f32 x tau) (PI.f32)))))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) 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))))
	62.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	80.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (.f32 x tau) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	78.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	78.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #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) tau) #s(literal -1/2 binary32) (/.f32 #s(literal 0 binary32) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) tau) (*.f32 (PI.f32) x)))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 165 to 1 288 computations (40.5% saved)

series48.0ms (1.1%)

Memory

-25.5MiB live, 116.2MiB allocated; 11ms collecting garbage

Counts

38 → 146

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite299.0ms (6.6%)

Memory

34.5MiB live, 273.3MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	5675
0	852	5308
1	4761	5251
0	8388	5050

Stop Event

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

Counts

184 → 327

Calls

Call 1

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

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

eval79.0ms (1.7%)

Memory: -8.8MiB live, 81.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 13 914 to 1 555 computations (88.8% saved)

prune78.0ms (1.7%)

Memory

-1.5MiB live, 100.6MiB allocated; 9ms collecting garbage

Pruning

47 alts after pruning (40 fresh and 7 done)

	Pruned	Kept	Total
New	430	17	447
Fresh	8	23	31
Picked	1	4	5
Done	0	3	3
Total	439	47	486

Accuracy

99.9%

Counts

486 → 47

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
	71.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32)) (.f32 (.f32 x tau) (PI.f32)))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
✓	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
✓	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
	71.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	77.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.6%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 x tau) (neg.f32 (PI.f32))) (PI.f32)) x))
	81.7%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))
▶	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
✓	80.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	58.9%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	64.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	70.9%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	71.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
✓	71.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	70.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (PI) (* (* tau x) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
	69.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* (* tau x) (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
▶	64.7%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (neg.f32 (.f32 (PI.f32) tau))) x #s(literal 0 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	64.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	63.8%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	63.7%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
✓	98.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.5%	(.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)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32))))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	80.3%	(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (neg.f32 tau) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) 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))))
	62.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	70.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	62.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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))) (*.f32 (neg.f32 x) (PI.f32))))
✓	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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))))
	80.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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)))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (.f32 x tau) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	71.0%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32))))
	78.8%	#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	78.4%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
▶	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 526 to 1 550 computations (38.6% saved)

series68.0ms (1.5%)

Memory

-0.2MiB live, 91.0MiB allocated; 8ms collecting garbage

Counts

42 → 143

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (* (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (* (* (* x tau) (PI)) (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) x) 0) (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (* -1/2 (* tau tau)) -1/2 (* tau tau) (* (* 0 (* (PI) (PI))) x) (* 0 (* (PI) (PI))) (* (PI) (PI)) (neg (* (PI) tau)) (* (PI) tau) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
11.0ms	tau	@	inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (* (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (* (* (* x tau) (PI)) (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) x) 0) (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (* -1/2 (* tau tau)) -1/2 (* tau tau) (* (* 0 (* (PI) (PI))) x) (* 0 (* (PI) (PI))) (* (PI) (PI)) (neg (* (PI) tau)) (* (PI) tau) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
8.0ms	tau	@	-inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (* (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (* (* (* x tau) (PI)) (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) x) 0) (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (* -1/2 (* tau tau)) -1/2 (* tau tau) (* (* 0 (* (PI) (PI))) x) (* 0 (* (PI) (PI))) (* (PI) (PI)) (neg (* (PI) tau)) (* (PI) tau) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
7.0ms	x	@	-inf	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (* (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (* (* (* x tau) (PI)) (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) x) 0) (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (* -1/2 (* tau tau)) -1/2 (* tau tau) (* (* 0 (* (PI) (PI))) x) (* 0 (* (PI) (PI))) (* (PI) (PI)) (neg (* (PI) tau)) (* (PI) tau) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))
6.0ms	tau	@	0	((/ (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (* (* (* x tau) (PI)) (* (PI) x))) (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (sin (* (PI) x)) (* (PI) x) (* (* (* x tau) (PI)) (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 tau) (* (PI) x)) 0 (* (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI)))) (/ (sin (* (PI) x)) x) (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (* (* (* x tau) (PI)) (PI)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (* (PI) x))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) x) 0) (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (* -1/2 (* tau tau)) -1/2 (* tau tau) (* (* 0 (* (PI) (PI))) x) (* 0 (* (PI) (PI))) (* (PI) (PI)) (neg (* (PI) tau)) (* (PI) tau) (* (neg (* (* tau x) (PI))) (* (PI) x)) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (sin (* (* tau x) (PI))) (* (neg (* (PI) x)) (* (* tau x) (PI))) (neg (* (PI) x)))

rewrite212.0ms (4.7%)

Memory

-9.1MiB live, 317.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	784	6014
0	859	5451
1	4890	5374
0	8459	5180

Stop Event

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

Counts

185 → 368

Calls

Call 1

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

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

eval51.0ms (1.1%)

Memory: 4.1MiB live, 107.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 16 433 to 1 683 computations (89.8% saved)

prune64.0ms (1.4%)

Memory

19.1MiB live, 158.8MiB allocated; 9ms collecting garbage

Pruning

57 alts after pruning (50 fresh and 7 done)

	Pruned	Kept	Total
New	416	20	436
Fresh	5	30	35
Picked	3	2	5
Done	2	5	7
Total	426	57	483

Accuracy

99.9%

Counts

483 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
	71.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32)) (.f32 (.f32 x tau) (PI.f32)))
	79.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
✓	98.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	71.0%	(/.f32 (.f32 (/.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	77.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	79.0%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))))
	58.9%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	97.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
✓	98.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) x)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau x) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	71.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
	79.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	64.7%	(/.f32 (.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* (PI) x)) tau) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
	70.9%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
✓	71.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
	70.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) #s(approx (* (PI) (* (* tau x) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
	69.8%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* (* tau x) (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau))) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	63.9%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 (.f32 #s(literal 0 binary32) (.f32 (PI.f32) (PI.f32))) x) (neg.f32 (.f32 (PI.f32) tau))) x #s(literal 0 binary32))) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	64.7%	(/.f32 (.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (fma.f32 #s(approx (+ (* (* -1/2 (* tau tau)) (* (* 0 (* (PI) (PI))) x)) (neg (* (PI) tau))) (.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	64.9%	(/.f32 #s(approx (* (/ (sin (* (* tau x) (PI))) (* (* tau x) (PI))) (sin (* (PI) x))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) x))
	63.7%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (.f32 (PI.f32) (.f32 (.f32 tau x) (PI.f32))))
	63.8%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	63.7%	(/.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 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)))
	64.6%	(/.f32 #s(approx (* (sin (* (* x tau) (PI))) (sin (* (PI) x))) (.f32 (.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) tau)) (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x)))
✓	98.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.5%	(.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)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32))))
	81.6%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 x tau) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	79.1%	(.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (*.f32 (PI.f32) x))))
	97.6%	(.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)) x)))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 (PI.f32) x) 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))))
	62.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	70.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
	62.7%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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))) (*.f32 (neg.f32 x) (PI.f32))))
✓	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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))))
	80.1%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	70.2%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 x (.f32 (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)))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (.f32 x tau) (PI.f32))) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.8%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 (.f32 x tau) (PI.f32)) #s(literal 2 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.8%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	59.6%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32)))))
	70.8%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (*.f32 x tau) (PI.f32)) (PI.f32))))
	69.7%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 #s(approx (sin (* (* x tau) (PI))) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (pow.f32 (.f32 (PI.f32) x) #s(literal 3 binary32)) (.f32 (PI.f32) x)) tau)) (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32))))
	70.1%	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* (* x tau) (PI)) (PI))) (fma.f32 (.f32 (pow.f32 (.f32 tau x) #s(literal 2 binary32)) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	64.6%	(.f32 #s(approx (sin (+ ( (* tau x) (PI)) (PI))) (.f32 (fma.f32 (neg.f32 (PI.f32)) tau (.f32 (.f32 #s(literal 0 binary32) x) (.f32 (.f32 #s(literal -1/2 binary32) tau) tau))) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (.f32 tau x) (neg.f32 (PI.f32))) (.f32 (PI.f32) x))))
	78.8%	#s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* (* tau x) (PI)))) (* (PI) (* (* tau x) (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	53.5%	#s(approx (/ (* (sin (+ (* (PI) x) (PI))) (sin (* (* tau x) (PI)))) (* (neg (* (PI) x)) (* (* tau x) (PI)))) (neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))))
	78.4%	#s(approx (/ (* (sin (* (+ (* x tau) 1) (PI))) (sin (* (PI) x))) (* (neg (* (* tau x) (PI))) (* (PI) x))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (*.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32) #s(literal 0 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (PI.f32))) x))
✓	6.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (/ (/ 0 tau) (* (PI) x)) #s(literal 0 binary32)))
✓	64.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 143 to 1 413 computations (65.9% saved)

regimes105.0ms (2.3%)

Memory

-32.6MiB live, 210.1MiB allocated; 25ms collecting garbage

Counts

87 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	tau
24.0ms	(*.f32 x (PI.f32))
24.0ms	x
24.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes82.0ms (1.8%)

Memory

-1.6MiB live, 236.1MiB allocated; 10ms collecting garbage

Counts

74 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(*.f32 x (PI.f32))
20.0ms	tau
19.0ms	x
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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)

regimes158.0ms (3.5%)

Memory

-5.3MiB live, 144.7MiB allocated; 143ms collecting garbage

Counts

53 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes56.0ms (1.2%)

Memory

16.9MiB live, 113.3MiB allocated; 7ms collecting garbage

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

16.0ms	x
13.0ms	(*.f32 x (PI.f32))
12.0ms	tau
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))))

Results

Accuracy	Segments	Branch
85.5%	1	`(*.f32 x (PI.f32))`
85.5%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
85.5%	1	`x`
85.5%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes60.0ms (1.3%)

Memory

27.0MiB live, 163.5MiB allocated; 13ms collecting garbage

Counts

50 → 1

Calls

Call 1

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

Outputs

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

17.0ms	(*.f32 x (PI.f32))
17.0ms	x
13.0ms	tau
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))))

Results

Accuracy	Segments	Branch
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`x`
80.1%	1	`tau`
80.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes93.0ms (2%)

Memory

-16.6MiB live, 171.2MiB allocated; 54ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

31.0ms	tau
30.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms	(*.f32 x (PI.f32))
10.0ms	x

Results

Accuracy	Segments	Branch
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`x`
80.1%	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))))`
80.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes41.0ms (0.9%)

Memory

18.6MiB live, 66.5MiB allocated; 1ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes33.0ms (0.7%)

Memory

0.4MiB live, 47.6MiB allocated; 2ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.8%	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))))`
78.8%	1	`(*.f32 x (PI.f32))`
78.8%	1	`x`
78.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes26.0ms (0.6%)

Memory

-23.8MiB live, 24.1MiB allocated; 12ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (*.f32 x (*.f32 (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:

14.0ms	x
4.0ms	(*.f32 x (PI.f32))
4.0ms	tau
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
70.2%	1	`(*.f32 x (PI.f32))`
70.2%	1	`x`
70.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
70.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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	(.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
3.0ms	tau

Results

Accuracy	Segments	Branch
64.9%	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))))`
64.9%	1	`(*.f32 x (PI.f32))`
64.9%	1	`x`
64.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Accuracy

Total -18.5b remaining (-161%)

Threshold costs -18.5b (-161%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.1%	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))))`
64.1%	1	`(*.f32 x (PI.f32))`
64.1%	1	`x`
64.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify38.0ms (0.8%)

Memory

-8.4MiB live, 40.7MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	336
1	81	336
2	142	336
3	369	336
4	910	336
5	3303	336

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

derivations317.0ms (7%)

Memory

4.0MiB live, 195.6MiB allocated; 42ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 336 to 65 computations (80.7% saved)

preprocess40.0ms (0.9%)

Memory

-32.7MiB live, 60.8MiB allocated; 6ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 882 to 230 computations (73.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze43.0ms (0.9%)

sample1.3s (29.1%)

explain134.0ms (2.9%)

preprocess141.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series60.0ms (1.3%)

rewrite208.0ms (4.6%)

eval13.0ms (0.3%)

prune23.0ms (0.5%)

series92.0ms (2%)

rewrite455.0ms (10%)

eval40.0ms (0.9%)

prune47.0ms (1%)

series48.0ms (1.1%)

rewrite299.0ms (6.6%)

eval79.0ms (1.7%)

prune78.0ms (1.7%)

series68.0ms (1.5%)

rewrite212.0ms (4.7%)

eval51.0ms (1.1%)

prune64.0ms (1.4%)

regimes105.0ms (2.3%)

regimes82.0ms (1.8%)

regimes158.0ms (3.5%)

regimes56.0ms (1.2%)

regimes60.0ms (1.3%)

regimes93.0ms (2%)

regimes41.0ms (0.9%)

regimes33.0ms (0.7%)

regimes26.0ms (0.6%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

simplify38.0ms (0.8%)

derivations317.0ms (7%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling