Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze29.0ms (0.6%)

Memory

5.6MiB live, 48.7MiB allocated; 12ms 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)

sample2.1s (43.3%)

Memory

67.1MiB live, 1 758.1MiB allocated; 1.8s collecting garbage

Samples

1.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 744.0ms

ival-mult: 260.0ms (34.9% of total)

ival-sin: 180.0ms (24.2% of total)

ival-sinu: 141.0ms (18.9% of total)

ival-div: 101.0ms (13.6% of total)

ival-pi: 54.0ms (7.3% of total)

adjust: 3.0ms (0.4% of total)

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

const: 2.0ms (0.3% of total)

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

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

Bogosity

explain131.0ms (2.7%)

Memory

11.1MiB live, 248.6MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	255

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

61.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-pi: 13.0ms (28.6% of total)

ival-mult: 9.0ms (19.8% of total)

ival-div: 8.0ms (17.6% of total)

ival-sinu: 8.0ms (17.6% of total)

ival-sin: 6.0ms (13.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess136.0ms (2.8%)

Memory

31.1MiB live, 171.3MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	96	136
2	438	128
3	2215	128
4	3963	128
5	5859	128
6	6890	128
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7772	21
0	8015	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs x)

(abs tau)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series31.0ms (0.6%)

Memory

-35.4MiB live, 56.5MiB allocated; 5ms collecting garbage

Counts

10 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
5.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	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))))

rewrite172.0ms (3.6%)

Memory

52.7MiB live, 278.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

48 → 101

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: -27.9MiB live, 30.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 591 to 466 computations (87% saved)

prune23.0ms (0.5%)

Memory

12.0MiB live, 59.3MiB allocated; 1ms collecting garbage

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	104	26	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	26	131

Accuracy

99.8%

Counts

131 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x)) (.f32 (PI.f32) tau))
	81.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32)))) (.f32 (PI.f32) (neg.f32 (.f32 (.f32 tau x) (PI.f32)))))
	97.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 tau x) (PI.f32))))
▶	76.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
▶	98.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 tau x) (PI.f32)))
▶	97.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	92.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 #s(approx (sin ( x (PI))) (.f32 (fma.f32 (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)) (.f32 x (PI.f32))))
	95.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) tau))
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) tau)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.9%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (pow.f32 (.f32 (.f32 tau x) (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	86.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	80.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
▶	65.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 402 to 802 computations (42.8% saved)

series59.0ms (1.2%)

Memory

-35.9MiB live, 110.6MiB allocated; 16ms collecting garbage

Counts

28 → 135

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite224.0ms (4.6%)

Memory

27.2MiB live, 293.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	760	5872
0	818	5364
1	4929	5279
0	8245	5063

Stop Event

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

Counts

163 → 325

Calls

Call 1

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

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

eval37.0ms (0.8%)

Memory: 43.2MiB live, 88.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 12 703 to 1 373 computations (89.2% saved)

prune91.0ms (1.9%)

Memory

-45.0MiB live, 113.0MiB allocated; 18ms collecting garbage

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	390	27	417
Fresh	11	10	21
Picked	4	1	5
Done	0	0	0
Total	405	38	443

Accuracy

99.9%

Counts

443 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	97.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 x tau)) (PI.f32))
	76.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau) (.f32 (neg.f32 (PI.f32)) x)))
	76.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 (PI.f32) x))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
▶	61.1%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	77.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	78.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))) (*.f32 x tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	86.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 tau x) (PI.f32)))
	72.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32))) (.f32 (.f32 tau x) (PI.f32)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	77.5%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	72.9%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
▶	6.3%	(/.f32 #s(approx (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) #s(literal 0 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	66.0%	(/.f32 #s(approx (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 (.f32 tau x) (PI.f32)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.9%	(.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)))
▶	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
	72.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (PI.f32)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	81.2%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
▶	97.8%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (PI.f32))))
	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	86.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	80.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	65.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 051 to 1 218 computations (40.6% saved)

series51.0ms (1.1%)

Memory

19.2MiB live, 116.4MiB allocated; 10ms collecting garbage

Counts

44 → 150

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	tau	@	inf	((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau))
10.0ms	x	@	inf	((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau))
8.0ms	tau	@	-inf	((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau))
7.0ms	x	@	-inf	((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau))
6.0ms	x	@	0	((* (sin (* (* x tau) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) x tau (PI) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (PI) x) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) 0 (* (neg (* (* tau x) (PI))) (neg (* (PI) x))) (neg (* (* tau x) (PI))) (* (* tau x) (PI)) (* tau x) (neg (* (PI) x)) (/ (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (* (neg (* (* tau x) (PI))) (neg (* (PI) x)))) (* (sin (+ (* (* tau x) (PI)) (PI))) (sin (+ (* (PI) x) (PI)))) (sin (+ (* (* tau x) (PI)) (PI))) (+ (* (* tau x) (PI)) (PI)) (sin (+ (* (PI) x) (PI))) (+ (* (neg (PI)) x) 0) (neg (PI)) (* (/ (sin (* (* tau x) (PI))) (* tau x)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI))) (/ (sin (* (* tau x) (PI))) (* tau x)) (sin (* (* tau x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/ (sin (* (PI) x)) (* (PI) x)) (+ (* (pow (* (PI) x) 2) -1/6) 1) (pow (* (PI) x) 2) 2 -1/6 1 (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (sin (+ (* (* x tau) (PI)) (PI))) (+ (* (* x tau) (PI)) (PI)) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (sin (* (neg (PI)) x)) (* (neg (PI)) x) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)) (* (* (neg (PI)) x) tau))

rewrite225.0ms (4.7%)

Memory

-22.2MiB live, 305.9MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	790	5765
0	867	5198
1	5006	5028
0	8384	4838

Stop Event

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

Counts

194 → 412

Calls

Call 1

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

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

eval43.0ms (0.9%)

Memory: 18.8MiB live, 121.6MiB allocated; 11ms collecting garbage
Compiler: Compiled 14 828 to 1 525 computations (89.7% saved)

prune44.0ms (0.9%)

Memory

-27.6MiB live, 118.7MiB allocated; 8ms collecting garbage

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	426	19	445
Fresh	6	26	32
Picked	3	2	5
Done	0	1	1
Total	435	48	483

Accuracy

99.9%

Counts

483 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	76.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 (PI.f32) x))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	77.9%	(/.f32 (.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (neg.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 tau x) (PI.f32))))
	61.1%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	60.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	78.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32))) (.f32 tau x))
	86.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (PI.f32)))) (*.f32 x tau))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x))))
▶	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	86.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 tau x) (PI.f32)))
▶	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x tau) (PI.f32)) (PI.f32)) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	77.5%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	65.3%	(/.f32 (.f32 #s(approx (sin (+ ( (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 #s(literal 0 binary32) x) (.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	65.2%	(/.f32 (.f32 #s(approx (sin (+ ( (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
▶	72.9%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.9%	(.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)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) (PI.f32)))
	72.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (PI.f32)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (*.f32 (PI.f32) (PI.f32)) x))))
	76.3%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))))
✓	81.2%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (.f32 (neg.f32 (PI.f32)) x)) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (*.f32 (neg.f32 (PI.f32)) x) tau))))
	70.9%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (/.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
	61.1%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
✓	97.8%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))))
	72.8%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 x tau) (PI.f32))))
	86.2%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
	72.6%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
▶	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	66.6%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
	86.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	80.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	65.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
▶	6.3%	#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/.f32 #s(literal 0 binary32) (.f32 (.f32 (PI.f32) x) tau)))

Compiler

Compiled 2 803 to 1 686 computations (39.9% saved)

series32.0ms (0.7%)

Memory

29.5MiB live, 76.0MiB allocated; 2ms collecting garbage

Counts

29 → 126

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	tau	@	-inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/ 0 (* (* (PI) x) tau)) 0 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (sin (* (* tau x) (PI))) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
5.0ms	x	@	-inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/ 0 (* (* (PI) x) tau)) 0 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (sin (* (* tau x) (PI))) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
5.0ms	x	@	inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/ 0 (* (* (PI) x) tau)) 0 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (sin (* (* tau x) (PI))) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
5.0ms	tau	@	inf	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/ 0 (* (* (PI) x) tau)) 0 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (sin (* (* tau x) (PI))) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))
4.0ms	tau	@	0	((/ (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* (PI) x) tau))) (sin (* (PI) x)) (* (PI) x) (PI) x (sin (* (* (PI) x) tau)) (* (* (PI) x) tau) tau (* (* (* tau x) (PI)) (* (PI) x)) (* (* tau x) (PI)) (* tau x) (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) (/ 0 (* (* (PI) x) tau)) 0 (/ (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (* (* (* tau x) (PI)) (* (PI) x))) (* (sin (* (PI) x)) (sin (* (* tau x) (PI)))) (sin (* (PI) x)) (sin (* (* tau x) (PI))) (* (sin (* (PI) x)) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x))))) (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (sin (* (* x tau) (PI))) (* (* x tau) (PI)) (* x tau) (* (* x tau) (* (PI) (* (PI) x))) (* (PI) (* (PI) x)) (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (/ (sin (* (PI) x)) (* (PI) x)))

rewrite266.0ms (5.5%)

Memory

-44.0MiB live, 327.0MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	5825
0	668	5477
1	3606	5417
0	8429	5206

Stop Event

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

Counts

155 → 237

Calls

Call 1

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

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

eval27.0ms (0.6%)

Memory: -18.5MiB live, 73.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 9 154 to 895 computations (90.2% saved)

prune54.0ms (1.1%)

Memory

16.3MiB live, 162.8MiB allocated; 6ms collecting garbage

Pruning

53 alts after pruning (48 fresh and 5 done)

	Pruned	Kept	Total
New	284	17	301
Fresh	9	31	40
Picked	2	3	5
Done	1	2	3
Total	296	53	349

Accuracy

99.9%

Counts

349 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) x (PI.f32)) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32)))) (cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))))) #s(literal 2 binary32)) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	66.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 (PI.f32) x))) (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	97.7%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x))
	76.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 (PI.f32) x))))
	81.3%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)))
	61.1%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32))) #s(approx (sin (+ ( (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	60.3%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	78.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 (PI.f32)) x) tau)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (*.f32 (PI.f32) x))))
	86.4%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32))) (.f32 tau x))
	86.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	72.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))
	72.7%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	77.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (.f32 (neg.f32 (PI.f32)) x)))) (.f32 (.f32 (PI.f32) x) tau))
	77.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (neg.f32 (PI.f32)) x))) (.f32 (.f32 (PI.f32) x) tau))
✓	97.3%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) tau))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (PI.f32) x) tau))
	86.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 tau x) (PI.f32)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) tau) (.f32 (PI.f32) x)))
	97.5%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (.f32 (PI.f32) x)))
	77.5%	(/.f32 (.f32 (cos.f32 (fma.f32 (.f32 x tau) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	65.3%	(/.f32 (.f32 #s(approx (sin (+ ( (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 tau tau)) (.f32 #s(literal 0 binary32) x) (.f32 (neg.f32 (PI.f32)) tau)) x #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
	65.2%	(/.f32 (.f32 #s(approx (sin (+ ( (* x tau) (PI)) (PI))) (fma.f32 (fma.f32 (neg.f32 (PI.f32)) x (.f32 (.f32 (.f32 #s(literal 0 binary32) (.f32 x x)) tau) #s(literal -1/2 binary32))) tau #s(literal 0 binary32))) #s(approx (sin (+ (* (PI) x) (PI))) (fma.f32 (neg.f32 (PI.f32)) x #s(literal 0 binary32)))) (.f32 (neg.f32 (.f32 (.f32 tau x) (PI.f32))) (neg.f32 (.f32 (PI.f32) x))))
✓	72.9%	(/.f32 (.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 tau x) (PI.f32)) (*.f32 (PI.f32) x)))
	97.5%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (PI.f32)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau)))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	87.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
	72.9%	(.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)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 (PI.f32) x) (*.f32 (PI.f32) x)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) (PI.f32)))
	72.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) #s(approx (+ (* (pow (* (PI) x) 2) -1/6) 1) #s(literal 1 binary32))) (PI.f32)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 tau x)) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (PI)) (fma.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	72.8%	(.f32 (/.f32 #s(approx (sin ( (PI) x)) (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (PI.f32) x)))
	76.3%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (.f32 (.f32 (neg.f32 (PI.f32)) x) (.f32 (.f32 (neg.f32 (PI.f32)) x) tau))))
	70.9%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (/.f32 (-.f32 (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 x x) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
	61.1%	(.f32 (sin.f32 (fma.f32 (.f32 x tau) (PI.f32) (PI.f32))) #s(approx (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
✓	97.8%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 x tau) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 (PI.f32) x) (.f32 (.f32 (PI.f32) x) tau))))
	72.8%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (/.f32 #s(approx (/ (sin ( (PI) x)) (* (PI) x)) #s(literal 1 binary32)) (.f32 (.f32 x tau) (PI.f32))))
	86.2%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x)))
	72.6%	(.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) #s(approx (/ (/ (sin ( (PI) x)) (* (PI) x)) (* (* x tau) (PI))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
	81.2%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) x) tau (PI.f32))) (neg.f32 (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) tau) (PI.f32)) x))))
	97.6%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 (.f32 (.f32 (PI.f32) x) tau) (PI.f32)) x)))
✓	97.4%	(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x tau) (.f32 (PI.f32) (.f32 (PI.f32) x)))))
	80.8%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (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)))))
	66.1%	(.f32 (sin.f32 (.f32 (PI.f32) x)) #s(approx (/ (sin (* (* x tau) (PI))) (* (* x tau) (* (PI) (* (PI) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
	66.6%	(.f32 #s(approx (/ (sin ( (* tau x) (PI))) (* tau x)) (PI.f32)) (/.f32 #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) (PI.f32)))
	86.5%	#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 4 binary32)) #s(literal 1/120 binary32) (fma.f32 (.f32 #s(literal 1/36 binary32) (.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))
	80.6%	#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (fma.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (pow.f32 (.f32 (PI.f32) tau) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x x) #s(literal 1 binary32)))
	66.1%	#s(approx (/ (* (sin (* (* tau x) (PI))) (/ (sin (* (PI) x)) (* (PI) x))) (* (* (PI) x) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
✓	65.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	6.3%	#s(approx (* (sin (+ (* (* x tau) (PI)) (PI))) (/ (sin (* (neg (PI)) x)) (* (* (neg (PI)) x) (* (* (neg (PI)) x) tau)))) #s(approx (/ 0 (* (* (PI) x) tau)) #s(literal 0 binary32)))

Compiler

Compiled 4 082 to 1 326 computations (67.5% saved)

regimes148.0ms (3.1%)

Memory

-14.3MiB live, 175.5MiB allocated; 9ms collecting garbage

Counts

90 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	x
23.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
23.0ms	tau
21.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes69.0ms (1.4%)

Memory

25.2MiB live, 117.3MiB allocated; 4ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	(*.f32 x (PI.f32))
17.0ms	x
15.0ms	tau
14.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (1%)

Memory

13.4MiB live, 107.8MiB allocated; 7ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	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))))
11.0ms	x
11.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes50.0ms (1%)

Memory

-27.6MiB live, 118.5MiB allocated; 14ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(*.f32 x (PI.f32))
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

Results

Accuracy	Segments	Branch
97.4%	1	`(*.f32 x (PI.f32))`
97.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.4%	1	`x`
97.4%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes58.0ms (1.2%)

Memory

6.1MiB live, 99.8MiB allocated; 3ms collecting garbage

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

26.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	tau
10.0ms	x

Results

Accuracy	Segments	Branch
87.0%	1	`(*.f32 x (PI.f32))`
87.0%	1	`x`
87.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
87.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (0.8%)

Memory

-6.0MiB live, 89.6MiB allocated; 5ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
86.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
86.6%	1	`tau`
86.6%	1	`(*.f32 x (PI.f32))`
86.6%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes34.0ms (0.7%)

Memory

-1.2MiB live, 90.8MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	x
8.0ms	(*.f32 x (PI.f32))
7.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms	tau

Results

Accuracy	Segments	Branch
86.6%	1	`tau`
86.6%	1	`(*.f32 x (PI.f32))`
86.6%	1	`x`
86.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes29.0ms (0.6%)

Memory

29.1MiB live, 75.1MiB allocated; 1ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
80.8%	1	`tau`
80.8%	1	`(*.f32 x (PI.f32))`
80.8%	1	`x`
80.8%	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)

regimes26.0ms (0.5%)

Memory

12.1MiB live, 64.3MiB allocated; 5ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms	(*.f32 x (PI.f32))
5.0ms	x
5.0ms	tau

Results

Accuracy	Segments	Branch
80.6%	1	`tau`
80.6%	1	`(*.f32 x (PI.f32))`
80.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
80.6%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes16.0ms (0.3%)

Memory

-5.2MiB live, 40.8MiB allocated; 3ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	tau

Results

Accuracy	Segments	Branch
66.6%	1	`tau`
66.6%	1	`(*.f32 x (PI.f32))`
66.6%	1	`x`
66.6%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes15.0ms (0.3%)

Memory

-9.7MiB live, 36.4MiB allocated; 2ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	tau
3.0ms	x
3.0ms	(*.f32 x (PI.f32))
3.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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)

regimes12.0ms (0.3%)

Memory

-14.5MiB live, 31.8MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.4%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
65.4%	1	`tau`
65.4%	1	`(*.f32 x (PI.f32))`
65.4%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes4.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
6.3%	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))))`
6.3%	1	`tau`
6.3%	1	`(*.f32 x (PI.f32))`
6.3%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify53.0ms (1.1%)

Memory

12.7MiB live, 62.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	376
1	184	370
2	452	364
3	1844	362
4	5762	362

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations357.0ms (7.4%)

Memory

-36.4MiB live, 493.7MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 378 to 104 computations (72.5% saved)

preprocess88.0ms (1.8%)

Memory

18.3MiB live, 112.5MiB allocated; 7ms collecting garbage

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 134 to 388 computations (65.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze29.0ms (0.6%)

sample2.1s (43.3%)

explain131.0ms (2.7%)

preprocess136.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series31.0ms (0.6%)

rewrite172.0ms (3.6%)

eval14.0ms (0.3%)

prune23.0ms (0.5%)

series59.0ms (1.2%)

rewrite224.0ms (4.6%)

eval37.0ms (0.8%)

prune91.0ms (1.9%)

series51.0ms (1.1%)

rewrite225.0ms (4.7%)

eval43.0ms (0.9%)

prune44.0ms (0.9%)

series32.0ms (0.7%)

rewrite266.0ms (5.5%)

eval27.0ms (0.6%)

prune54.0ms (1.1%)

regimes148.0ms (3.1%)

regimes69.0ms (1.4%)

regimes50.0ms (1%)

regimes50.0ms (1%)

regimes58.0ms (1.2%)

regimes40.0ms (0.8%)

regimes34.0ms (0.7%)

regimes29.0ms (0.6%)

regimes26.0ms (0.5%)

regimes16.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

simplify53.0ms (1.1%)

derivations357.0ms (7.4%)

preprocess88.0ms (1.8%)

end0.0ms (0%)

Profiling