Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze69.0ms (1.1%)

Memory

-2.2MiB live, 43.3MiB allocated; 5ms 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)

sample2.3s (35.9%)

Memory

-91.5MiB live, 2 993.0MiB allocated; 1.3s collecting garbage

Samples

1.7s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-<=: 588.0ms (39.3% of total)

ival-mult: 250.0ms (16.7% of total)

ival-sinu: 186.0ms (12.4% of total)

ival-sin: 130.0ms (8.7% of total)

const: 124.0ms (8.3% of total)

ival-div: 111.0ms (7.4% of total)

ival-pi: 66.0ms (4.4% of total)

ival-and: 25.0ms (1.7% of total)

exact: 9.0ms (0.6% of total)

adjust: 3.0ms (0.2% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain137.0ms (2.2%)

Memory

9.6MiB live, 308.4MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	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

50.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 10.0ms (28.7% of total)

ival-sinu: 8.0ms (23% of total)

ival-sin: 7.0ms (20.1% of total)

ival-div: 6.0ms (17.2% of total)

ival-pi: 2.0ms (5.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess138.0ms (2.2%)

Memory

2.1MiB live, 188.2MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	78	123
2	362	107
3	1859	107
4	4136	107
5	6122	107
6	7086	107
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 tau)

(abs x)

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

1.0MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.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)

series34.0ms (0.5%)

Memory

7.2MiB live, 52.3MiB allocated; 6ms collecting garbage

Counts

10 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	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))))
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
5.0ms	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))))

simplify209.0ms (3.3%)

Memory

12.1MiB live, 283.6MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	1265
1	858	1241
2	3980	1239
0	8427	1182

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 38

Calls

Call 1

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

rewrite152.0ms (2.4%)

Memory

-16.1MiB live, 212.9MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	62
0	18	62
1	54	62
2	349	60
0	3634	60

Stop Event

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

Counts

10 → 336

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

eval40.0ms (0.6%)

Memory: 36.7MiB live, 82.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 13 122 to 1 540 computations (88.3% saved)

prune54.0ms (0.9%)

Memory

-13.5MiB live, 82.2MiB allocated; 19ms collecting garbage

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	476	35	511
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	35	512

Accuracy

99.9%

Counts

512 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
	70.9%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	82.8%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (.f32 (neg.f32 tau) (cbrt.f32 (PI.f32))))
▶	79.1%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	80.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 x) (PI.f32))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
	83.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 tau (PI.f32))))
▶	97.0%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	83.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))) (.f32 x (PI.f32))))
	78.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	67.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	84.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	83.1%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
▶	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
▶	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	76.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.9%	(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	75.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	76.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	60.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 780 to 986 computations (44.6% saved)

series58.0ms (0.9%)

Memory

-9.7MiB live, 81.9MiB allocated; 7ms collecting garbage

Counts

27 → 149

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (* tau x) (/ (sin (* (PI) x)) (PI)))
11.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (* tau x) (/ (sin (* (PI) x)) (PI)))
10.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (* tau x) (/ (sin (* (PI) x)) (PI)))
8.0ms	x	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (* tau x) (/ (sin (* (PI) x)) (PI)))
7.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x)))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (* tau (* (PI) x))) (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (PI) x) (PI)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (* tau x) (/ (sin (* (PI) x)) (PI)))

simplify134.0ms (2.1%)

Memory

26.7MiB live, 164.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	738	5501
1	2552	5050
2	6377	4997
0	8394	4794

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 149

Calls

Call 1

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

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

rewrite341.0ms (5.4%)

Memory

-8.3MiB live, 462.5MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	261
0	59	259
1	224	243
2	1275	243
0	9690	243

Stop Event

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

Counts

27 → 3 407

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) tau))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (neg.f32 tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
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(-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 0 binary32) (PI.f32)))
(+.f32 (/.f32 #s(literal 0 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 0 binary32) (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))

eval198.0ms (3.1%)

Memory: 22.6MiB live, 443.4MiB allocated; 34ms collecting garbage
Compiler: Compiled 70 425 to 5 779 computations (91.8% saved)

prune122.0ms (1.9%)

Memory

-37.4MiB live, 215.5MiB allocated; 22ms collecting garbage

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	2 154	34	2 188
Fresh	14	16	30
Picked	3	2	5
Done	0	0	0
Total	2 171	52	2 223

Accuracy

99.9%

Counts

2 223 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	70.9%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
▶	80.1%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	58.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (+ ( (PI) x) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
▶	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (neg.f32 (.f32 (.f32 (PI.f32) (*.f32 (neg.f32 tau) (PI.f32))) x)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	80.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 x) (PI.f32))))
	78.0%	(/.f32 (.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	80.3%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))) x)
	62.2%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	51.5%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	59.6%	(/.f32 #s(approx (* (/ (sin (+ (* (* tau (PI)) x) (PI))) (* (PI) x)) (sin (+ (* (PI) x) (PI)))) (/.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) x) x)) (.f32 tau (*.f32 (PI.f32) x)))
	80.6%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	83.3%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
	79.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (PI.f32)))
	82.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
	67.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) x))
	80.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	67.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.7%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	95.7%	(.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	80.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	83.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
✓	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	84.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
▶	97.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x)))
	60.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	76.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
▶	76.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	78.1%	(.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	96.8%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
	60.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
	76.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	75.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
▶	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(literal 0 binary32))
	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 736 to 1 598 computations (41.6% saved)

series52.0ms (0.8%)

Memory

30.6MiB live, 76.8MiB allocated; 4ms collecting garbage

Counts

40 → 159

Calls

Call 1

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

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

Calls

6 calls:

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

simplify132.0ms (2.1%)

Memory

-24.5MiB live, 114.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	803	5554
1	2800	5090
2	7249	5090
0	8272	4892

Stop Event

1×	iter limit
1×	node limit

Counts

159 → 159

Calls

Call 1

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

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

rewrite118.0ms (1.9%)

Memory

31.5MiB live, 77.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	411
0	92	411
1	293	401
0	1718	401

Stop Event

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

Counts

40 → 418

Calls

Call 1

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

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

eval63.0ms (1%)

Memory: 9.5MiB live, 104.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 22 579 to 2 534 computations (88.8% saved)

prune71.0ms (1.1%)

Memory

-42.4MiB live, 148.2MiB allocated; 19ms collecting garbage

Pruning

62 alts after pruning (57 fresh and 5 done)

	Pruned	Kept	Total
New	619	27	646
Fresh	15	30	45
Picked	2	3	5
Done	0	2	2
Total	636	62	698

Accuracy

100.0%

Counts

698 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
	97.5%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	70.9%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	80.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (neg.f32 (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
✓	80.1%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	58.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (- ( x (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	95.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
	80.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau x) (PI.f32)) x)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau))
✓	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))) x)
	80.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (PI.f32) x) (.f32 (neg.f32 x) (PI.f32))))
	80.3%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	80.3%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) x)))
	79.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 tau x) (PI.f32))))
	62.2%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	51.5%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	83.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	67.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (PI)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	59.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
	83.3%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
	79.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (PI.f32)))
	82.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
	67.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) x))
	80.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	79.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	67.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.7%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	76.5%	(.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	80.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	83.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
✓	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	60.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	76.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	76.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	76.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau tau))) x)))
▶	97.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))))
	60.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 #s(approx (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
▶	76.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
	4.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) x)))))
	76.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (neg.f32 x) (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau tau) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (PI.f32))))))))
	78.1%	(.f32 (cos.f32 (fma.f32 (-.f32 x #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	60.6%	(.f32 #s(approx (/ (/ (sin ( tau (* (PI) x))) (* (PI) x)) (* tau x)) (/.f32 #s(literal 1 binary32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
	76.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	67.5%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (PI.f32) tau) x))) (*.f32 (PI.f32) x)))
	66.0%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	75.9%	#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.6%	#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (*.f32 (PI.f32) tau) x))))
▶	75.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(literal 0 binary32))
▶	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 3 520 to 2 039 computations (42.1% saved)

series73.0ms (1.2%)

Memory

10.3MiB live, 99.1MiB allocated; 8ms collecting garbage

Counts

45 → 176

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	tau	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* (* (PI) tau) x)) (* (* (* (PI) tau) x) (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) tau (* (* (* (PI) tau) x) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6) -1/6 (* tau tau) (* x x) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (* (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) x) (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (* (* tau tau) (PI)) (/ 1 (* (* x x) (PI))) (* (* x x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (* tau (* (PI) (PI))) (/ (sin (* (* (PI) x) tau)) (* x x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI))) (sin (+ (* (neg x) (PI)) (PI))) (+ (* (neg x) (PI)) (PI)) (neg x))
9.0ms	tau	@	-inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* (* (PI) tau) x)) (* (* (* (PI) tau) x) (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) tau (* (* (* (PI) tau) x) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6) -1/6 (* tau tau) (* x x) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (* (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) x) (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (* (* tau tau) (PI)) (/ 1 (* (* x x) (PI))) (* (* x x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (* tau (* (PI) (PI))) (/ (sin (* (* (PI) x) tau)) (* x x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI))) (sin (+ (* (neg x) (PI)) (PI))) (+ (* (neg x) (PI)) (PI)) (neg x))
9.0ms	tau	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* (* (PI) tau) x)) (* (* (* (PI) tau) x) (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) tau (* (* (* (PI) tau) x) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6) -1/6 (* tau tau) (* x x) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (* (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) x) (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (* (* tau tau) (PI)) (/ 1 (* (* x x) (PI))) (* (* x x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (* tau (* (PI) (PI))) (/ (sin (* (* (PI) x) tau)) (* x x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI))) (sin (+ (* (neg x) (PI)) (PI))) (+ (* (neg x) (PI)) (PI)) (neg x))
8.0ms	x	@	inf	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* (* (PI) tau) x)) (* (* (* (PI) tau) x) (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) tau (* (* (* (PI) tau) x) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6) -1/6 (* tau tau) (* x x) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (* (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) x) (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (* (* tau tau) (PI)) (/ 1 (* (* x x) (PI))) (* (* x x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (* tau (* (PI) (PI))) (/ (sin (* (* (PI) x) tau)) (* x x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI))) (sin (+ (* (neg x) (PI)) (PI))) (+ (* (neg x) (PI)) (PI)) (neg x))
8.0ms	x	@	0	((* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (sin (* (PI) x)) (* (PI) x) (PI) x (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* (* (PI) tau) x)) (* (* (* (PI) tau) x) (* (PI) x))) (sin (* (* (PI) tau) x)) (* (* (PI) tau) x) (* (PI) tau) tau (* (* (* (PI) tau) x) (* (PI) x)) (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6) -1/6 (* tau tau) (* x x) 1 (* (sin (* (PI) x)) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x))) (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (* (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) x) (+ (* (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (* (* tau tau) (PI)) (/ 1 (* (* x x) (PI))) (* (* x x) (PI)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (* tau (* (PI) (PI))) (/ (sin (* (* (PI) x) tau)) (* x x)) (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) (/ (sin (+ (* (neg x) (PI)) (PI))) (* x (PI))) (sin (+ (* (neg x) (PI)) (PI))) (+ (* (neg x) (PI)) (PI)) (neg x))

simplify189.0ms (3%)

Memory

21.4MiB live, 127.2MiB allocated; 92ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	6071
1	2095	5898
2	6780	5896
0	8621	5635

Stop Event

1×	iter limit
1×	node limit

Counts

176 → 176

Calls

Call 1

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

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

rewrite173.0ms (2.7%)

Memory

-9.2MiB live, 212.1MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	559
0	121	557
1	417	530
2	2681	509
0	8486	504

Stop Event

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

Counts

45 → 911

Calls

Call 1

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

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

eval119.0ms (1.9%)

Memory: 18.7MiB live, 201.6MiB allocated; 38ms collecting garbage
Compiler: Compiled 53 490 to 4 924 computations (90.8% saved)

prune174.0ms (2.7%)

Memory

-4.2MiB live, 282.4MiB allocated; 58ms collecting garbage

Pruning

77 alts after pruning (69 fresh and 8 done)

	Pruned	Kept	Total
New	1 116	31	1 147
Fresh	14	38	52
Picked	2	3	5
Done	0	5	5
Total	1 132	77	1 209

Accuracy

100.0%

Counts

1 209 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) x) (*.f32 (neg.f32 tau) (PI.f32)))
	70.9%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	80.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (neg.f32 (PI.f32))))) (.f32 tau (*.f32 (PI.f32) x)))
✓	80.1%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	58.2%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) #s(approx (sin (- ( x (PI)) (PI))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 tau (*.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 tau x) (PI.f32)) x)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (neg.f32 (PI.f32)))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau))
✓	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (PI.f32))) (sin.f32 (.f32 (*.f32 tau x) (PI.f32)))) x)
	80.3%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	80.3%	(/.f32 (.f32 (/.f32 (cos.f32 (fma.f32 (.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	79.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (.f32 x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (*.f32 tau x) (PI.f32)) x)))
	79.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (-.f32 (.f32 x (PI.f32)) (PI.f32)))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 tau x) (PI.f32))))
	62.2%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal -1 binary32)) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	51.5%	(/.f32 (.f32 #s(approx (/ (sin (+ ( (* tau (PI)) x) (PI))) (* (PI) x)) (neg.f32 tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
	83.1%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	67.5%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) (PI)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	59.6%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))
	83.3%	(.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))
	82.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x)))
	67.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau x)) #s(approx (/ (sin ( (PI) x)) (PI)) x))
	80.6%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.1%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
✓	79.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	76.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (-.f32 (neg.f32 x) #s(literal -1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	77.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	83.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))))
	67.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	79.7%	(.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
	76.2%	(.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
	76.5%	(.f32 (sin.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	80.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (*.f32 (PI.f32) x))))
	83.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (.f32 tau (PI.f32)) (PI.f32))) (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))))
✓	97.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	60.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (* (PI) tau) x)) (* (* (PI) tau) x)) #s(literal 1 binary32)) (*.f32 (PI.f32) x)))
	76.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (PI.f32) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))
	76.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (.f32 tau tau) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	76.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 tau tau))) x)))
	83.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (.f32 tau x) (PI.f32))) (.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) tau))))
	97.0%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) x) x))))
✓	97.7%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) (.f32 tau x)))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 tau (PI.f32))))))
	97.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))))
	97.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))))
	97.3%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))))
	76.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (fma.f32 (.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)) x (/.f32 x (.f32 (*.f32 x x) (PI.f32)))))))
	76.5%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (fma.f32 (.f32 (.f32 (*.f32 tau tau) x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x)))))
	76.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x (PI.f32)) x))) x))))
	4.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 #s(approx (+ ( (* (* tau tau) (PI)) -1/6) (/ 1 (* (* x x) (PI)))) (.f32 (.f32 (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) x))))
	76.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	51.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) #s(literal 1 binary32)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (*.f32 x (PI.f32))))
	67.5%	(.f32 #s(approx (sin (+ ( (neg x) (PI)) (PI))) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 (.f32 (PI.f32) tau) x) (.f32 (PI.f32) x)))))
	65.9%	(.f32 #s(approx (sin (+ ( (neg x) (PI)) (PI))) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) #s(approx (/ (+ (* (* -1/6 (* tau tau)) (* (* x x) (PI))) (/ 1 (PI))) x) (.f32 (fma.f32 (.f32 (.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) (PI.f32)))) x))))
	66.0%	(.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) #s(approx (/ (/ (sin ( tau (* (PI) x))) (* tau (* (PI) x))) (* (PI) x)) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) x)))
	75.9%	#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	60.7%	#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	75.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) tau)) tau (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	64.1%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (-.f32 (.f32 (pow.f32 (.f32 tau (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	75.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
	60.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	75.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x))))
	60.9%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	75.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 tau tau))) (*.f32 tau tau))))
	4.5%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
✓	6.3%	#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(literal 0 binary32))
	97.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) x))
	79.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) tau) (.f32 (neg.f32 x) (PI.f32)))))
	94.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x x))))
	83.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (.f32 tau x) (PI.f32))) (.f32 x x))))
✓	96.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
	67.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x x))))
	82.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) (PI)))) (.f32 (/.f32 (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 x x))))
✓	59.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 6 871 to 2 131 computations (69% saved)

regimes133.0ms (2.1%)

Memory

29.3MiB live, 260.9MiB allocated; 20ms collecting garbage

Counts

128 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	(*.f32 x (PI.f32))
33.0ms	tau
31.0ms	x
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))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes95.0ms (1.5%)

Memory

-2.3MiB live, 139.9MiB allocated; 10ms collecting garbage

Counts

72 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

37.0ms	(*.f32 x (PI.f32))
19.0ms	tau
18.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes103.0ms (1.6%)

Memory

-6.9MiB live, 129.4MiB allocated; 7ms collecting garbage

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

35.0ms	x
28.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
18.0ms	tau
17.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes64.0ms (1%)

Memory

29.6MiB live, 78.4MiB allocated; 6ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	tau
14.0ms	x
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))))
14.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
97.3%	1	`(*.f32 x (PI.f32))`
97.3%	1	`x`
97.3%	1	`tau`
97.3%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (0.9%)

Memory

-11.4MiB live, 80.6MiB allocated; 4ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.2%	1	`(*.f32 x (PI.f32))`
83.2%	1	`x`
83.2%	1	`tau`
83.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes45.0ms (0.7%)

Memory

20.0MiB live, 65.8MiB allocated; 2ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

12.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
11.0ms	tau
10.0ms	x
10.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
76.9%	1	`(*.f32 x (PI.f32))`
76.9%	1	`x`
76.9%	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))))`
76.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes57.0ms (0.9%)

Memory

-39.5MiB live, 64.9MiB allocated; 17ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	(*.f32 x (PI.f32))
10.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
10.0ms	x

Results

Accuracy	Segments	Branch
76.8%	1	`(*.f32 x (PI.f32))`
76.8%	1	`x`
76.8%	1	`tau`
76.8%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes35.0ms (0.5%)

Memory

4.4MiB live, 50.4MiB allocated; 1ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	1	`x`
75.9%	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))))`
75.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms 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 (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(literal 0 binary32))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (* (* tau (* (PI) x)) x)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x))))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) (PI)) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.9%	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))))`
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	1	`x`
75.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes14.0ms (0.2%)

Memory

-23.8MiB live, 22.7MiB allocated; 2ms 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 (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(literal 0 binary32))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) (fma.f32 (.f32 (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) x #s(literal 1 binary32)))

Outputs

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

Calls

4 calls:

4.0ms	tau
3.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms	x
3.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	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))))`
75.9%	1	`x`
75.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes11.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
75.9%	1	`(*.f32 x (PI.f32))`
75.9%	1	`x`
75.9%	1	`tau`
75.9%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.2%)

Memory

-31.1MiB live, 18.3MiB allocated; 4ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.1%	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))))`
66.1%	1	`(*.f32 x (PI.f32))`
66.1%	1	`x`
66.1%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

#s(approx (* (/ (/ (sin (* tau (* (PI) x))) (* (PI) x)) (* tau x)) (/ (sin (* (PI) x)) (PI))) #s(approx (+ (* (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (* x x)) 1) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #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	tau
2.0ms	(*.f32 x (PI.f32))
2.0ms	x

Results

Accuracy	Segments	Branch
60.9%	1	`tau`
60.9%	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))))`
60.9%	1	`(*.f32 x (PI.f32))`
60.9%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Accuracy

Total -17.2b remaining (-133.6%)

Threshold costs -17.2b (-133.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.8%	1	`(*.f32 x (PI.f32))`
59.8%	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))))`
59.8%	1	`x`
59.8%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify58.0ms (0.9%)

Memory

-23.8MiB live, 68.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	112	504
1	203	504
2	568	504
3	2313	504

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations435.0ms (6.8%)

Memory

7.9MiB live, 237.8MiB allocated; 16ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 504 to 105 computations (79.2% saved)

preprocess78.0ms (1.2%)

Memory

20.9MiB live, 67.4MiB allocated; 11ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 638 to 510 computations (68.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze69.0ms (1.1%)

sample2.3s (35.9%)

explain137.0ms (2.2%)

preprocess138.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series34.0ms (0.5%)

simplify209.0ms (3.3%)

rewrite152.0ms (2.4%)

eval40.0ms (0.6%)

prune54.0ms (0.9%)

series58.0ms (0.9%)

simplify134.0ms (2.1%)

rewrite341.0ms (5.4%)

eval198.0ms (3.1%)

prune122.0ms (1.9%)

series52.0ms (0.8%)

simplify132.0ms (2.1%)

rewrite118.0ms (1.9%)

eval63.0ms (1%)

prune71.0ms (1.1%)

series73.0ms (1.2%)

simplify189.0ms (3%)

rewrite173.0ms (2.7%)

eval119.0ms (1.9%)

prune174.0ms (2.7%)

regimes133.0ms (2.1%)

regimes95.0ms (1.5%)

regimes103.0ms (1.6%)

regimes64.0ms (1%)

regimes57.0ms (0.9%)

regimes45.0ms (0.7%)

regimes57.0ms (0.9%)

regimes35.0ms (0.5%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

simplify58.0ms (0.9%)

derivations435.0ms (6.8%)

preprocess78.0ms (1.2%)

end0.0ms (0%)

Profiling