Metrics for Lanczos kernel

start0.0ms (0%)

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

analyze47.0ms (0.6%)

Memory

-8.0MiB live, 43.2MiB allocated; 31ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
50%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
87.5%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
93.7%	0%	0%	100%	0%	0%	0%	8
93.7%	0%	0%	100%	0%	0%	0%	9
96.9%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
98.4%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.7s (20.3%)

Memory

75.5MiB live, 2 615.6MiB allocated; 445ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 988.0ms

ival-sinu: 193.0ms (19.5% of total)

ival-mult: 188.0ms (19% of total)

ival-div: 162.0ms (16.4% of total)

const: 131.0ms (13.3% of total)

ival-sin: 125.0ms (12.6% of total)

ival-<=: 97.0ms (9.8% of total)

ival-pi: 55.0ms (5.6% of total)

ival-and: 23.0ms (2.3% of total)

exact: 9.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain144.0ms (1.7%)

Memory

-13.1MiB live, 239.5MiB allocated; 43ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
3	-	3	(0.5234708786010742 3.7845046520233154)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	4
-	0	252

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	3
-	0	0	252

Precision?

1.0

Recall?

0.25

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 149 to 34 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 10.0ms (27.3% of total)

ival-mult: 9.0ms (24.5% of total)

ival-sinu: 8.0ms (21.8% of total)

ival-sin: 7.0ms (19.1% of total)

ival-pi: 2.0ms (5.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess174.0ms (2.1%)

Memory

-18.3MiB live, 222.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	78	123
2	362	107
3	1859	107
4	4136	107
5	6122	107
6	7086	107
0	10	21
0	18	21
1	31	21
2	88	21
3	295	21
4	692	21
5	1137	21
6	1748	21
7	3844	21
8	7458	21
9	7574	21
10	7772	21
0	8015	21

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series59.0ms (0.7%)

Memory

-12.7MiB live, 80.7MiB allocated; 4ms collecting garbage

Counts

10 → 33

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
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* x (PI))
x
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
tau

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
7.0ms	tau	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
6.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))
4.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* x (PI)) x (PI) tau (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))))

simplify235.0ms (2.8%)

Memory

-3.9MiB live, 286.7MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	213	818
1	797	794
2	3852	792
0	8262	735

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* x (PI))
x
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 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))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
tau

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

rewrite109.0ms (1.3%)

Memory

25.8MiB live, 119.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

10 → 336

Calls

Call 1

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

Outputs
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (sqrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (.f32 (cbrt.f32 (PI.f32)) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) tau))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (neg.f32 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 tau x)))
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(cos.f32 (+.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (fma.f32 (*.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (fma.f32 (*.f32 tau (PI.f32)) x (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 tau x)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) x) tau))
(.f32 (.f32 (*.f32 tau x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 tau x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 tau (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(.f32 (.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (neg.f32 (neg.f32 tau)) (.f32 (PI.f32) x))
(.f32 (neg.f32 (neg.f32 x)) (.f32 tau (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) tau))
(.f32 (.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))
(.f32 (.f32 tau x) (PI.f32))
(.f32 (neg.f32 tau) (.f32 (neg.f32 x) (PI.f32)))
(.f32 (neg.f32 x) (.f32 (neg.f32 tau) (PI.f32)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 tau x)))
(.f32 (.f32 tau (PI.f32)) x)
(.f32 (.f32 (neg.f32 x) (PI.f32)) (neg.f32 tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) tau))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) tau) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) x) tau))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 tau x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 tau x)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) x) (neg.f32 (neg.f32 tau)))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 (PI.f32) (.f32 tau x))
(.f32 x (neg.f32 (.f32 (neg.f32 tau) (PI.f32))))
(.f32 x (.f32 tau (PI.f32)))
(fma.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 tau x)))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 tau x)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 tau x)))
(+.f32 (.f32 (.f32 tau x) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 tau x) (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (.f32 (.f32 tau (neg.f32 x)) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(.f32 (.f32 x (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(.f32 (neg.f32 (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) x))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) x))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) x)))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) x (*.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(fma.f32 x (cosh.f32 (log.f32 (PI.f32))) (*.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) x) (.f32 (sinh.f32 (log.f32 (PI.f32))) x))
(+.f32 (.f32 x (cosh.f32 (log.f32 (PI.f32)))) (.f32 x (sinh.f32 (log.f32 (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 x) (PI.f32)))
x
(PI.f32)
tau
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 (cbrt.f32 (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32))
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)))
(sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32))))
(sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))
(cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (fma.f32 (neg.f32 x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(neg.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))

eval53.0ms (0.6%)

Memory: -30.0MiB live, 66.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 12 829 to 1 510 computations (88.2% saved)

prune39.0ms (0.5%)

Memory

33.3MiB live, 76.1MiB allocated; 7ms collecting garbage

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	469	30	499
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	469	31	500

Accuracy

99.8%

Counts

500 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	76.9%	(/.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (.f32 (PI.f32) x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (.f32 tau (*.f32 (PI.f32) x)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
▶	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	97.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	77.4%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	81.4%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))))
	80.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.f32 (PI.f32)) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	74.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
✓	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))
▶	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	82.6%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	65.8%	(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	81.0%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
▶	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 547 to 850 computations (45.1% saved)

series55.0ms (0.6%)

Memory

-12.8MiB live, 78.5MiB allocated; 8ms collecting garbage

Counts

28 → 102

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* 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)))))))))))
(* 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))))))))))))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* x (PI))
x
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(/ (sin (* 2 (PI))) (* tau (* x (PI))))
(/ (+ (* x (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (* 2 (PI)))))) (* -1/6 (* (pow (PI) 2) (cos (* 2 (PI)))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(sin (* 2 (PI)))
(+ (sin (* 2 (PI))) (* tau (* x (* (PI) (cos (* 2 (PI)))))))
(+ (sin (* 2 (PI))) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* 2 (PI))))))) (* tau (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* x (+ (* tau (* (PI) (cos (* 2 (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (* 2 (PI))))))))))))
(* 2 (PI))
(+ (* 2 (PI)) (* tau (* x (PI))))
(+ 1 (* tau x))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* x (pow (PI) 2))
(* x (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (* -1/6 (pow (PI) 4)))) (pow (PI) 2)))
(* x (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (* 1/36 (* (pow tau 2) (pow (PI) 6))))))))) (pow (PI) 2)))
(* x (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/6 (pow (PI) 4)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 6))) (+ (* 1/120 (pow (PI) 6)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 8))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 8))) (* -1/5040 (pow (PI) 8))))))))))))) (pow (PI) 2)))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+ (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)))))))
(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(sin (* tau (* x (PI))))
(sin (* x (PI)))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* (PI) (+ 1 (* tau x)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* (PI) (+ 1 (* tau x))))) (* tau (* x (PI))))
(sin (+ (PI) (* (PI) (+ 1 (* tau x)))))
(* x (+ (* 2 (/ (PI) x)) (* tau (PI))))
(* tau x)
(* x (+ tau (/ 1 x)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau x))
(/ (sin (* x (PI))) x)
(/ (sin (* tau (* x (PI)))) tau)
(* -1 (* x (+ (* -2 (/ (PI) x)) (* -1 (* tau (PI))))))
(* -1 (* x (- (* -1 tau) (/ 1 x))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
(/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(+ (sin (* 2 (PI))) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (* 2 (PI))))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(* (PI) (sin (* x (PI))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI)))))
(+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))
(+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))
(+ (* 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))))))))
(* tau (+ (* 2 (/ (PI) tau)) (* x (PI))))
(* tau (+ x (/ 1 tau)))
(* -1 (* tau (+ (* -2 (/ (PI) tau)) (* -1 (* x (PI))))))
(* -1 (* tau (- (* -1 x) (/ 1 tau))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau) (* (PI) (* (PI) x)))
10.0ms	tau	@	-inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau) (* (PI) (* (PI) x)))
9.0ms	x	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau) (* (PI) (* (PI) x)))
6.0ms	x	@	0	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau) (* (PI) (* (PI) x)))
6.0ms	tau	@	inf	((/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* tau (* (PI) x))) (* tau (* (PI) x)) tau (* (PI) x) (PI) x (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) 1 (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) (* (* x (PI)) tau) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (/ (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (* (PI) (* (PI) x))) (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau) (* (PI) (* (PI) x)))

simplify181.0ms (2.1%)

Memory

4.5MiB live, 245.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	2642
1	2181	2502
2	6677	2356
0	8597	2190

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

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

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

rewrite65.0ms (0.8%)

Memory

-6.7MiB live, 87.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	253
0	65	253
1	230	253
0	1329	249

Stop Event

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

Counts

28 → 527

Calls

Call 1

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

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

eval82.0ms (1%)

Memory: -2.9MiB live, 90.8MiB allocated; 54ms collecting garbage
Compiler: Compiled 17 037 to 1 824 computations (89.3% saved)

prune43.0ms (0.5%)

Memory

34.6MiB live, 83.9MiB allocated; 4ms collecting garbage

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	568	31	599
Fresh	14	11	25
Picked	3	2	5
Done	1	0	1
Total	586	44	630

Accuracy

99.8%

Counts

630 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))) tau)
▶	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	66.0%	(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
	76.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (PI.f32))))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
▶	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	76.8%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x tau) (.f32 (.f32 x (PI.f32)) (PI.f32))))
	72.3%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	65.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	65.8%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	65.8%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
▶	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.8%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	74.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
✓	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	82.6%	(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	81.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	76.8%	(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.2%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	80.8%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	86.3%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
	72.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.4%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.5%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	80.2%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x))
▶	6.3%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 2 374 to 1 376 computations (42% saved)

series71.0ms (0.8%)

Memory

-4.6MiB live, 89.0MiB allocated; 3ms collecting garbage

Counts

44 → 141

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* 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)))))))))))
(* 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))))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (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) (+ (* 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) (+ (* 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))))))))))))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
x
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ (sin (* 2 (PI))) (* tau (* x (PI))))
(/ (+ (* x (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (* 2 (PI)))))) (* -1/6 (* (pow (PI) 2) (cos (* 2 (PI)))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
0
(/ (+ (* x (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(sin (* 2 (PI)))
(+ (sin (* 2 (PI))) (* tau (* x (* (PI) (cos (* 2 (PI)))))))
(+ (sin (* 2 (PI))) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* 2 (PI))))))) (* tau (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* x (+ (* tau (* (PI) (cos (* 2 (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (* 2 (PI))))))))))))
(* 2 (PI))
(+ (* 2 (PI)) (* tau (* x (PI))))
(+ 1 (* tau x))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* -1/6 (pow x 2))
(pow x 2)
(* -1 (/ (sin (PI)) (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)
(* tau (* x (* (PI) (sin (PI)))))
(* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* tau (* (PI) (sin (PI))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))
(sin (PI))
(+ (sin (PI)) (* x (* (PI) (cos (PI)))))
(+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))
(PI)
(+ (PI) (* x (PI)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* x (PI)))
(* -1 x)
(* -1 (/ (sin (PI)) (* tau (* x (PI)))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)
(+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))
(+ (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)))))))))))
(+ (PI) (* tau (* x (PI))))
(/ -1 (* tau (* x (PI))))
(/ (- (* 1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (- (* (pow x 2) (+ (* -1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)) (* 1/6 (/ (PI) tau)))) (/ 1 (* tau (PI)))) x)
(/ (- (* (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)
(* -1 (* tau (* x (PI))))
(* -1 (* tau x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* x (PI)))
(sin (* tau (* x (PI))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* (PI) (+ 1 (* tau x)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* (PI) (+ 1 (* tau x))))) (* tau (* x (PI))))
(sin (+ (PI) (* (PI) (+ 1 (* tau x)))))
(* x (+ (* 2 (/ (PI) x)) (* tau (PI))))
(* tau x)
(* x (+ tau (/ 1 x)))
(/ (sin (* x (PI))) (* x (PI)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI)))))
(sin (+ (PI) (* x (PI))))
(* x (+ (PI) (/ (PI) x)))
(* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(sin (+ (PI) (* tau (* x (PI)))))
(* x (+ (* tau (PI)) (/ (PI) x)))
(* -1 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (* x (+ (* -2 (/ (PI) x)) (* -1 (* tau (PI))))))
(* -1 (* x (- (* -1 tau) (/ 1 x))))
(* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
tau
(/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(+ (sin (* 2 (PI))) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (* 2 (PI))))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))
(* tau (* x (* (PI) (sin (+ (PI) (* x (PI)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* x (* (PI) (sin (+ (PI) (* x (PI))))))))
(* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))
(* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))
(* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)
(+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))
(+ (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)))))))
(* tau (PI))
(* tau (+ (* 2 (/ (PI) tau)) (* x (PI))))
(* tau (+ x (/ 1 tau)))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(* -1 (* tau (+ (* -2 (/ (PI) tau)) (* -1 (* x (PI))))))
(* -1 (* tau (- (* -1 x) (/ 1 tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	tau	@	-inf	((/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* tau (* (PI) x)) (* (PI) x) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 (* (PI) x)) tau) (/ 0 (* (PI) x)) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (sin (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)) (neg x) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* tau (neg x)) (PI)) (* tau (neg x)))
12.0ms	tau	@	inf	((/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* tau (* (PI) x)) (* (PI) x) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 (* (PI) x)) tau) (/ 0 (* (PI) x)) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (sin (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)) (neg x) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* tau (neg x)) (PI)) (* tau (neg x)))
9.0ms	x	@	0	((/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* tau (* (PI) x)) (* (PI) x) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 (* (PI) x)) tau) (/ 0 (* (PI) x)) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (sin (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)) (neg x) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* tau (neg x)) (PI)) (* tau (neg x)))
9.0ms	x	@	-inf	((/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* tau (* (PI) x)) (* (PI) x) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 (* (PI) x)) tau) (/ 0 (* (PI) x)) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (sin (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)) (neg x) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* tau (neg x)) (PI)) (* tau (neg x)))
9.0ms	x	@	inf	((/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* tau (* (PI) x)) (* (PI) x) (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (/ 0 (* (PI) x)) tau) (/ 0 (* (PI) x)) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (sin (+ (* x (PI)) (PI))) (+ (* x (PI)) (PI)) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)) (neg x) (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (sin (+ (* (* tau (PI)) x) (PI))) (+ (* (* tau (PI)) x) (PI)) (* tau (PI)) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (* tau (neg x)) (PI)) (* tau (neg x)))

simplify130.0ms (1.5%)

Memory

7.9MiB live, 150.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	773	3086
1	3109	2457
0	9267	2314

Stop Event

1×	iter limit
1×	node limit

Counts

141 → 139

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* 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)))))))))))
(* 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))))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (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) (+ (* 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) (+ (* 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))))))))))))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
x
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(/ (sin (* 2 (PI))) (* tau (* x (PI))))
(/ (+ (* x (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (* 2 (PI)))))) (* -1/6 (* (pow (PI) 2) (cos (* 2 (PI)))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
0
(/ (+ (* x (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(sin (* 2 (PI)))
(+ (sin (* 2 (PI))) (* tau (* x (* (PI) (cos (* 2 (PI)))))))
(+ (sin (* 2 (PI))) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* 2 (PI))))))) (* tau (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* x (+ (* tau (* (PI) (cos (* 2 (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (* 2 (PI))))))))))))
(* 2 (PI))
(+ (* 2 (PI)) (* tau (* x (PI))))
(+ 1 (* tau x))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 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)))))))
(* -1/6 (pow x 2))
(pow x 2)
(* -1 (/ (sin (PI)) (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)
(* tau (* x (* (PI) (sin (PI)))))
(* x (+ (* tau (* x (* (pow (PI) 2) (cos (PI))))) (* tau (* (PI) (sin (PI))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI)))))))))))
(* x (+ (* tau (* (PI) (sin (PI)))) (* x (+ (* tau (* (pow (PI) 2) (cos (PI)))) (* x (+ (* -1/2 (* tau (* (pow (PI) 3) (sin (PI))))) (+ (* -1/6 (* (pow tau 3) (* (pow (PI) 3) (sin (PI))))) (* x (+ (* -1/6 (* tau (* (pow (PI) 4) (cos (PI))))) (* -1/6 (* (pow tau 3) (* (pow (PI) 4) (cos (PI))))))))))))))
(sin (PI))
(+ (sin (PI)) (* x (* (PI) (cos (PI)))))
(+ (sin (PI)) (* x (+ (* -1/2 (* x (* (pow (PI) 2) (sin (PI))))) (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* x (+ (* -1/2 (* (pow (PI) 2) (sin (PI)))) (* -1/6 (* x (* (pow (PI) 3) (cos (PI))))))) (* (PI) (cos (PI))))))
(PI)
(+ (PI) (* x (PI)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* x (PI)))
(* -1 x)
(* -1 (/ (sin (PI)) (* tau (* x (PI)))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (* tau (PI))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (* tau (PI)))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau))))))))) x)
(+ (sin (PI)) (* tau (* x (* (PI) (cos (PI))))))
(+ (sin (PI)) (* x (+ (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI)))))) (* tau (* (PI) (cos (PI)))))))
(+ (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)))))))))))
(+ (PI) (* tau (* x (PI))))
(/ -1 (* tau (* x (PI))))
(/ (- (* 1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (- (* (pow x 2) (+ (* -1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)) (* 1/6 (/ (PI) tau)))) (/ 1 (* tau (PI)))) x)
(/ (- (* (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)
(* -1 (* tau (* x (PI))))
(* -1 (* tau x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(sin (* x (PI)))
(sin (* tau (* x (PI))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* (PI) (+ 1 (* tau x)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* (PI) (+ 1 (* tau x))))) (* tau (* x (PI))))
(sin (+ (PI) (* (PI) (+ 1 (* tau x)))))
(* x (+ (* 2 (/ (PI) x)) (* tau (PI))))
(* tau x)
(* x (+ tau (/ 1 x)))
(/ (sin (* x (PI))) (* x (PI)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI)))))
(sin (+ (PI) (* x (PI))))
(* x (+ (PI) (/ (PI) x)))
(* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (* tau (* x (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(sin (+ (PI) (* tau (* x (PI)))))
(* x (+ (* tau (PI)) (/ (PI) x)))
(* -1 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* -1 (* x (+ (* -2 (/ (PI) x)) (* -1 (* tau (PI))))))
(* -1 (* x (- (* -1 tau) (/ 1 x))))
(* -1 (* x (+ (* -1 (PI)) (* -1 (/ (PI) x)))))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x)))))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (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))))
(+ (* (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))))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* 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))))))))
(* 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)))))))))
tau
(/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(+ (sin (* 2 (PI))) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (* 2 (PI))))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* 1/6 (* (pow tau 2) (* x (* (PI) (sin (+ (PI) (* x (PI)))))))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))
(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))
(* tau (* x (* (PI) (sin (+ (PI) (* x (PI)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* x (* (PI) (sin (+ (PI) (* x (PI))))))))
(* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI))))))))))))
(* tau (+ (* x (* (PI) (sin (+ (PI) (* x (PI)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (+ (PI) (* x (PI)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (+ (PI) (* x (PI)))))))))))))
(* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* 1/2 (* tau (* (sin (PI)) (sin (* x (PI))))))))) tau)
(/ (+ (* -1 (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))) (* 1/2 (* (sin (PI)) (sin (* x (PI)))))))))) tau)
(+ (sin (PI)) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI)))))) (* x (* (PI) (cos (PI)))))))
(+ (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)))))))
(* tau (PI))
(* tau (+ (* 2 (/ (PI) tau)) (* x (PI))))
(* tau (+ x (/ 1 tau)))
(* tau (+ (* x (PI)) (/ (PI) tau)))
(* -1 (* tau (+ (* -2 (/ (PI) tau)) (* -1 (* x (PI))))))
(* -1 (* tau (- (* -1 x) (/ 1 tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau)))))

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

rewrite190.0ms (2.2%)

Memory

1.3MiB live, 141.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	365
0	98	347
1	346	330
2	2224	324
0	9418	319

Stop Event

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

Counts

44 → 869

Calls

Call 1

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

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

eval123.0ms (1.5%)

Memory: -36.8MiB live, 107.9MiB allocated; 17ms collecting garbage
Compiler: Compiled 30 569 to 3 357 computations (89% saved)

prune87.0ms (1%)

Memory

27.8MiB live, 169.2MiB allocated; 7ms collecting garbage

Pruning

84 alts after pruning (81 fresh and 3 done)

	Pruned	Kept	Total
New	869	55	924
Fresh	11	26	37
Picked	3	2	5
Done	1	1	2
Total	884	84	968

Accuracy

99.9%

Counts

968 → 84

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 (PI.f32) x)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
	76.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))) tau)
✓	97.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	96.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) tau) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (*.f32 x (PI.f32)) (PI.f32))))
	76.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (PI.f32))))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32)) tau) (neg.f32 x)))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 tau (*.f32 (PI.f32) x)) (neg.f32 x)) (PI.f32)))
	78.1%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	77.2%	(/.f32 (.f32 (sin.f32 (-.f32 (.f32 (PI.f32) x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	78.0%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	76.8%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
▶	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	86.6%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32)))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)))
▶	97.4%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x tau) (.f32 (.f32 x (PI.f32)) (PI.f32))))
	72.3%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	72.3%	(/.f32 (.f32 #s(approx (sin (+ ( x (PI)) (PI))) (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	65.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	67.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
▶	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.0%	(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 1 binary32) x)))) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	3.6%	(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	69.7%	(.f32 (/.f32 (sin.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.1%	(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	77.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	74.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #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))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.9%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	70.0%	(.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) x) #s(literal 2 binary32) (.f32 (PI.f32) tau)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.4%	(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32) (.f32 (PI.f32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.1%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
▶	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.5%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.1%	(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.8%	(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.2%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) tau)))))
✓	81.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	71.3%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
	60.8%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
	80.0%	(.f32 (sin.f32 (-.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	76.8%	(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.2%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	80.8%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal 0 binary32)) x #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.0%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.9%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	72.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.4%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.5%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	80.4%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) #s(literal 1 binary32)))
	65.8%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
▶	6.3%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
	80.2%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x))
	76.9%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))))
	96.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (*.f32 x x))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	79.9%	#s(approx (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 x x)) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))

Compiler

Compiled 5 319 to 3 242 computations (39% saved)

series64.0ms (0.8%)

Memory

6.6MiB live, 107.3MiB allocated; 13ms collecting garbage

Counts

45 → 149

Calls

Call 1

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

Outputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 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))))))))))
(+ 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))))))))))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (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) (+ (* 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) (+ (* 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))))))))))))))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* 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))))))))
x
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* 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))))))))
(* 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)))))))))
(* tau (* (pow x 2) (PI)))
(* -1 (/ (sin (PI)) (* x (PI))))
(/ (+ (* -1 (* x (cos (PI)))) (* -1 (/ (sin (PI)) (PI)))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* -1 (* x (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI))))))))))) x)
(/ (+ (* -1 (/ (sin (PI)) (PI))) (* x (+ (* -1 (cos (PI))) (* x (+ (* -1 (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* -1/6 (* (pow (PI) 2) (cos (PI))))))) (* -1 (+ (* -1/2 (* (PI) (sin (PI)))) (* -1/6 (* (pow tau 2) (* (PI) (sin (PI)))))))))))) x)
(/ (sin (* 2 (PI))) (* tau (* x (PI))))
(/ (+ (* x (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (* 2 (PI)))) tau)) (* x (+ (* -1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (* 2 (PI)))))) (* -1/6 (* (pow (PI) 2) (cos (* 2 (PI)))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(/ (+ (* x (+ (cos (* 2 (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* tau (PI)))) x)
(sin (* 2 (PI)))
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(* 2 (PI))
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(* -1/6 (pow x 2))
(pow x 2)
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(/ (+ (* -1 (* x (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* x (+ (* -1/2 (* tau (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* -1/6 (/ (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) tau)))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* x (+ (* -1/2 (* tau (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (+ (* -1/6 (/ (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/6 (* (pow (PI) 2) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* -1/2 (* tau (* x (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (PI)))) x)
(/ (+ (* x (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* x (+ (* -1/2 (* tau (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (PI)))) x)
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(+ 1 (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 2) (pow (PI) 4))) (+ (* -1/120 (* (pow tau 4) (pow (PI) 4))) (* -1/120 (pow (PI) 4)))))) (* -1 (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))))))
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(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1 (* 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 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 4))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/120 (* tau (pow (PI) 6))) (* -1/120 (* (pow tau 5) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* 1/6 (* tau (pow (PI) 4))) (+ (* 1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/120 (* tau (pow (PI) 6))) (+ (* -1/120 (* (pow tau 5) (pow (PI) 6))) (* (pow x 2) (+ (* 1/5040 (* tau (pow (PI) 8))) (+ (* 1/5040 (* (pow tau 7) (pow (PI) 8))) (+ (* 1/720 (* (pow tau 3) (pow (PI) 8))) (* 1/720 (* (pow tau 5) (pow (PI) 8))))))))))))))))
(* -1 (* tau (* x (PI))))
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(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))) (* 1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* 1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7))))))))))
(* -1 (* tau x))
(* -1 x)
(* -1 (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(sin (* tau (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (+ (PI) (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (* (sin (* x (PI))) (sin (+ (PI) (* (PI) (+ 1 (* tau x)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (+ (PI) (* (PI) (+ 1 (* tau x))))) (* tau (* x (PI))))
(sin (+ (PI) (* (PI) (+ 1 (* tau x)))))
(* x (+ (* 2 (/ (PI) x)) (* tau (PI))))
(* tau x)
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(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
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(* (sin (* -1 (* tau (* x (PI))))) (sin (* x (PI))))
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(* -1 (* x (+ (* -2 (/ (PI) x)) (* -1 (* tau (PI))))))
(* -1 (* x (- (* -1 tau) (/ 1 x))))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))) x)))))
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (+ (* 1/2 (PI)) (* 2 (PI))) x)))))
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(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* 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)))))))))))
(* 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))))))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
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(* 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)))))))))
tau
(* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI))))
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(+ (* -1 (/ (sin (+ (PI) (* x (PI)))) (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (+ (PI) (* x (PI))))))))))
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(/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (/ (* tau (* (cos (* 2 (PI))) (sin (* x (PI))))) (* x (PI))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1/2 (* tau (* (sin (* 2 (PI))) (sin (* x (PI)))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* tau (+ (* -1/2 (* (sin (* 2 (PI))) (sin (* x (PI))))) (* -1/6 (* tau (* x (* (PI) (* (cos (* 2 (PI))) (sin (* x (PI)))))))))) (/ (* (cos (* 2 (PI))) (sin (* x (PI)))) (* x (PI))))) (/ (* (sin (* 2 (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (cos (* 2 (PI)))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* -1/2 (* tau (* x (* (PI) (sin (* 2 (PI))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(/ (+ (* tau (+ (cos (* 2 (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* 2 (PI))))))))))) (/ (sin (* 2 (PI))) (* x (PI)))) tau)
(+ (sin (* 2 (PI))) (* tau (+ (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(+ (sin (* 2 (PI))) (* tau (+ (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (* 2 (PI)))))) (* -1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (* 2 (PI))))))))) (* x (* (PI) (cos (* 2 (PI))))))))
(* tau (PI))
(/ (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (+ (* -1 (/ (* tau (* (sin (* x (PI))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))) (* x (PI)))) (/ (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* x (PI)))) (* -1/2 (* tau (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI)))))))) (/ (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* tau (+ (* -1 (/ (* (sin (* x (PI))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* x (PI)))) (* tau (+ (* -1/2 (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (sin (* x (PI))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))))))))) (/ (* (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (+ (* -1 (* tau (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* -1/2 (* tau (* x (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* x (PI)))) tau)
(/ (+ (* tau (+ (* -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))) (* tau (+ (* -1/2 (* x (* (PI) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))))) (/ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* x (PI)))) tau)
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(+ (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))) (* x (* (PI) (sin (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI))))))))))
(* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI)))))))))))))
(* tau (+ (* -1 (* x (PI))) (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))))
(* tau (+ (* -1 (* x (PI))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/6 (* (pow x 3) (pow (PI) 3)))))))
(* tau (+ (* -1 (* x (PI))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (pow (PI) 5))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7))))))))))
(* tau (+ (* 2 (/ (PI) tau)) (* x (PI))))
(* tau (+ x (/ 1 tau)))
(* tau (+ (* 1/2 (/ (PI) tau)) (+ (* 2 (/ (PI) tau)) (+ (* x (PI)) (/ (PI) tau)))))
(* tau (+ (* 1/2 (/ (PI) tau)) (+ (* 2 (/ (PI) tau)) (* x (PI)))))
(* tau (+ x (* 2 (/ 1 tau))))
(* -1 (* tau (+ (* -2 (/ (PI) tau)) (* -1 (* x (PI))))))
(* -1 (* tau (- (* -1 x) (/ 1 tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (+ (PI) (+ (* 1/2 (PI)) (* 2 (PI)))) tau)))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (+ (* 1/2 (PI)) (* 2 (PI))) tau)))))
(* -1 (* tau (- (* -1 x) (* 2 (/ 1 tau)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	((/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* (* x (PI)) tau) x) (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* (* (* (* x (PI)) tau) x) (PI)) (* (* (* x (PI)) tau) x) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (* (* tau (PI)) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (+ (* tau x) 2) 2 (/ (PI) 2) (/ (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (sin (* (* (neg x) tau) (PI))) (* (* (neg x) tau) (PI)) (* (neg x) tau) (neg x) (sin (* (PI) x)) (* (PI) x) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)))
10.0ms	tau	@	inf	((/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* (* x (PI)) tau) x) (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* (* (* (* x (PI)) tau) x) (PI)) (* (* (* x (PI)) tau) x) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (* (* tau (PI)) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (+ (* tau x) 2) 2 (/ (PI) 2) (/ (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (sin (* (* (neg x) tau) (PI))) (* (* (neg x) tau) (PI)) (* (neg x) tau) (neg x) (sin (* (PI) x)) (* (PI) x) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)))
10.0ms	x	@	-inf	((/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* (* x (PI)) tau) x) (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* (* (* (* x (PI)) tau) x) (PI)) (* (* (* x (PI)) tau) x) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (* (* tau (PI)) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (+ (* tau x) 2) 2 (/ (PI) 2) (/ (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (sin (* (* (neg x) tau) (PI))) (* (* (neg x) tau) (PI)) (* (neg x) tau) (neg x) (sin (* (PI) x)) (* (PI) x) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)))
9.0ms	tau	@	-inf	((/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* (* x (PI)) tau) x) (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* (* (* (* x (PI)) tau) x) (PI)) (* (* (* x (PI)) tau) x) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (* (* tau (PI)) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (+ (* tau x) 2) 2 (/ (PI) 2) (/ (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (sin (* (* (neg x) tau) (PI))) (* (* (neg x) tau) (PI)) (* (neg x) tau) (neg x) (sin (* (PI) x)) (* (PI) x) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)))
8.0ms	x	@	0	((/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* (* (* (* x (PI)) tau) x) (PI))) (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (sin (* x (PI))) (* x (PI)) x (PI) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) tau (* (* (* (* x (PI)) tau) x) (PI)) (* (* (* x (PI)) tau) x) (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) 0 (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (+ (* (+ (* tau x) 1) (PI)) (PI)) (+ (* tau x) 1) 1 (* (* tau (PI)) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) -1/6 (* x x) (* (PI) (PI)) (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (+ (* tau x) 2) 2 (/ (PI) 2) (/ (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (* (sin (* (* (neg x) tau) (PI))) (sin (* (PI) x))) (sin (* (* (neg x) tau) (PI))) (* (* (neg x) tau) (PI)) (* (neg x) tau) (neg x) (sin (* (PI) x)) (* (PI) x) (* (* (neg x) (PI)) (* (* x (PI)) tau)) (* (neg x) (PI)))

simplify173.0ms (2%)

Memory

-8.1MiB live, 220.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	818	3888
1	3224	3393
0	8604	3192

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 147

Calls

Call 1

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

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

rewrite734.0ms (8.7%)

Memory

-93.1MiB live, 288.2MiB allocated; 934ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	384
0	104	369
1	359	348
0	2590	344

Stop Event

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

Counts

45 → 547

Calls

Call 1

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

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

eval87.0ms (1%)

Memory: 24.1MiB live, 163.1MiB allocated; 13ms collecting garbage
Compiler: Compiled 30 028 to 2 976 computations (90.1% saved)

prune143.0ms (1.7%)

Memory

-6.0MiB live, 325.2MiB allocated; 58ms collecting garbage

Pruning

102 alts after pruning (99 fresh and 3 done)

	Pruned	Kept	Total
New	754	40	794
Fresh	17	59	76
Picked	4	1	5
Done	1	2	3
Total	776	102	878

Accuracy

99.9%

Counts

878 → 102

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.0%	(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	65.8%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 (neg.f32 tau) x x))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
	65.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 (neg.f32 x) tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 (neg.f32 tau) x x)))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	76.8%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))) tau)
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
	76.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau))
	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	81.4%	(/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) tau) x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (PI.f32))))
	78.0%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 tau (*.f32 (PI.f32) x)) (neg.f32 x)) (PI.f32)))
	78.1%	(/.f32 (.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	77.2%	(/.f32 (.f32 (sin.f32 (-.f32 (.f32 (PI.f32) x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	78.0%	(/.f32 (.f32 (sin.f32 (+.f32 (.f32 (PI.f32) x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 x (PI.f32)) tau)))
	76.8%	(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
	95.7%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 tau (PI.f32))) x))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (.f32 tau x)))
	96.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x x) (.f32 tau (PI.f32))) (PI.f32)))
	97.7%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (PI.f32) x) (.f32 tau (.f32 (PI.f32) x))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 (PI.f32) x))))
	96.5%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 #s(approx ( (* (* x (PI)) tau) x) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau)) (PI.f32)))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
	72.3%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	80.8%	(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	72.3%	(/.f32 (.f32 #s(approx (sin (+ ( x (PI)) (PI))) (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
	72.1%	(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
	65.0%	(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
	67.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.0%	(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau x) (neg.f32 (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	3.6%	(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	69.7%	(.f32 (/.f32 (sin.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.1%	(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	64.5%	(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.2%	(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	70.0%	(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	77.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (.f32 x (PI.f32))))
	74.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (.f32 x (PI.f32))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 (PI.f32) x)))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x)))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #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))))
	86.6%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.9%	(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	70.0%	(.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.7%	(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) x) #s(literal 2 binary32) (.f32 (PI.f32) tau)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.4%	(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32) (.f32 (PI.f32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	86.1%	(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.8%	(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.5%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	48.5%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (fma.f32 tau x #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 (fma.f32 tau x #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.8%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 2 binary32) x)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.7%	(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 tau) (-.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) tau)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.8%	(.f32 (/.f32 (cos.f32 (+.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	68.1%	(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.0%	(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) #s(literal 5/2 binary32)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	66.8%	(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (fma.f32 (PI.f32) #s(literal 5/2 binary32) (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	64.3%	(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) tau)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	64.8%	(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) x)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.8%	(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (fma.f32 (.f32 (PI.f32) x) tau #s(literal 0 binary32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.8%	(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
✓	81.4%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (.f32 tau (neg.f32 x)) (PI.f32))))
	71.3%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
	60.8%	(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
	80.0%	(.f32 (sin.f32 (-.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (*.f32 tau (neg.f32 x)) (PI.f32))))
	76.8%	(.f32 (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	97.2%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
	80.8%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	81.0%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal 0 binary32)) x #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.0%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	65.9%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.9%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) (.f32 (.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	80.7%	(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau #s(literal 0 binary32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	81.0%	(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	72.2%	(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
	80.4%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.5%	#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	80.2%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
	54.0%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
	80.4%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	6.3%	#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
	76.9%	#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 tau x #s(literal 2 binary32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))))
✓	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
	75.8%	#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))))
	79.9%	#s(approx (* (sin (+ (* (* tau (PI)) x) (PI))) (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI)))) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 x x)) (neg.f32 (*.f32 (PI.f32) (PI.f32))))))

Compiler

Compiled 8 559 to 2 875 computations (66.4% saved)

regimes165.0ms (2%)

Memory

0.9MiB live, 374.1MiB allocated; 23ms collecting garbage

Counts

157 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 x (.f32 (PI.f32) x)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
#s(approx (* (/ (cos (+ (+ (* (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (cos.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (fma.f32 x tau #s(literal 2 binary32)) (PI.f32)))) (*.f32 x (PI.f32))) tau)
(.f32 (/.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (*.f32 (neg.f32 tau) (PI.f32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (.f32 (neg.f32 tau) (PI.f32)) x (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (PI.f32) (.f32 tau (PI.f32))))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 (PI.f32) x)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 (neg.f32 tau) x x))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 (PI.f32) x)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 (neg.f32 x) tau) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 (neg.f32 tau) x x)))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (.f32 (sqrt.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 (.f32 (.f32 (sqrt.f32 (PI.f32)) x) (sqrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 (neg.f32 x) (PI.f32)))) (cos.f32 (fma.f32 (.f32 tau (PI.f32)) x (.f32 (neg.f32 x) (PI.f32))))) #s(literal 2 binary32)) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 tau x) x))) (cos.f32 (.f32 (PI.f32) (fma.f32 tau x x)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (.f32 (PI.f32) x) #s(literal 2 binary32)) tau)))
(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (neg.f32 x) tau)))) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 tau x)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 (neg.f32 x) tau)))))

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

Calls

4 calls:

42.0ms	(*.f32 x (PI.f32))
41.0ms	tau
39.0ms	x
36.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes119.0ms (1.4%)

Memory

24.3MiB live, 216.5MiB allocated; 63ms collecting garbage

Counts

90 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (fma.f32 (.f32 (PI.f32) x) tau #s(literal 0 binary32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal 0 binary32)) x #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau #s(literal 0 binary32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) (.f32 (.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
(/.f32 (.f32 #s(approx (sin (+ ( x (PI)) (PI))) (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) 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 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (fma.f32 (PI.f32) #s(literal 5/2 binary32) (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) #s(literal 5/2 binary32)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32) (.f32 (PI.f32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) x) #s(literal 2 binary32) (.f32 (PI.f32) tau)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) x)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) tau)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 1 binary32) x)))) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 tau) (-.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) tau)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 2 binary32) x)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (fma.f32 tau x #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 (fma.f32 tau x #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau x) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 tau (PI.f32)) x))) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 #s(approx ( (* (* x (PI)) tau) x) (.f32 (.f32 (*.f32 x x) (PI.f32)) tau)) (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 tau (PI.f32)) (.f32 x (.f32 (PI.f32) x))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 x tau) (.f32 (.f32 x (PI.f32)) (PI.f32))))

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

Calls

4 calls:

48.0ms	x
23.0ms	tau
22.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes92.0ms (1.1%)

Memory

-11.4MiB live, 125.3MiB allocated; 19ms collecting garbage

Counts

84 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
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(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) tau)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 1 binary32) x)))) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 tau) (-.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) tau)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 2 binary32) x)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (fma.f32 tau x #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 (fma.f32 tau x #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (PI.f32)) tau) x) (PI.f32))))

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

Calls

4 calls:

25.0ms	x
23.0ms	(*.f32 x (PI.f32))
21.0ms	tau
19.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
97.2%	1	`(*.f32 x (PI.f32))`
97.2%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
97.2%	1	`x`
97.2%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes94.0ms (1.1%)

Memory

-3.7MiB live, 136.6MiB allocated; 25ms collecting garbage

Counts

83 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) #s(literal 0 binary32))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) #s(literal 1 binary32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* x (PI))) (sin (* (* x (PI)) tau))) (* x (PI))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (fma.f32 (.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 x) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x))
(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (.f32 (fma.f32 (PI.f32) tau #s(literal 0 binary32)) x)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 #s(approx (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (fma.f32 (.f32 (PI.f32) x) tau #s(literal 0 binary32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) #s(literal 0 binary32)) x #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau #s(literal 0 binary32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (+ (* (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) tau) (.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (.f32 tau tau) #s(literal -1/6 binary32))) x (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 #s(literal 0 binary32) (PI.f32)) tau)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* tau (PI)) x)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) x) (.f32 (.f32 #s(literal 0 binary32) tau) #s(literal -1/2 binary32))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))
#s(approx (/ (* (sin (+ (* x (PI)) (PI))) (sin (* (* x (PI)) tau))) (* (* (neg x) (PI)) (* (* x (PI)) tau))) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 (sin.f32 (.f32 (PI.f32) x)) tau)) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (/ (sin (* tau (* (PI) x))) tau)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) x) tau))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau)) (.f32 (PI.f32) (.f32 (PI.f32) x)))
(/.f32 (.f32 #s(approx (sin ( x (PI))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 (*.f32 x (PI.f32)) tau) x) (PI.f32)))
(/.f32 (.f32 #s(approx (sin (+ ( x (PI)) (PI))) (.f32 (neg.f32 x) (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))
(.f32 #s(approx (/ (sin ( (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(approx (sin ( (* x (PI)) tau)) (.f32 (.f32 (PI.f32) x) 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 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 tau x)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) x) (.f32 (*.f32 (PI.f32) x) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin ( (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) x) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (fma.f32 (PI.f32) #s(literal 5/2 binary32) (.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32))))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) tau) (.f32 (PI.f32) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) x) (.f32 tau (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 #s(approx (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (fma.f32 (.f32 tau x) (PI.f32) (.f32 (PI.f32) #s(literal 5/2 binary32)))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(/.f32 (.f32 #s(approx (/ (sin ( tau (* (PI) x))) (* (PI) x)) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)) #s(literal 1 binary32)) tau)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (fma.f32 (.f32 tau (PI.f32)) x (PI.f32))) #s(approx (/ (/ (sin (* (PI) x)) (* (PI) x)) (* (* tau (neg x)) (PI))) (/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 x x) (PI.f32)) tau) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) x)))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau x) (PI.f32))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (neg.f32 (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) tau) #s(literal 2 binary32) (.f32 (PI.f32) x)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( (+ (* tau x) 1) (PI)) (PI)) (.f32 (fma.f32 (/.f32 (PI.f32) x) #s(literal 2 binary32) (.f32 (PI.f32) tau)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) tau (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) x)) x))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 #s(approx (+ (+ ( (+ (* tau x) 2) (PI)) (/ (PI) 2)) (PI)) (.f32 (fma.f32 (PI.f32) x (/.f32 (fma.f32 (PI.f32) #s(literal 5/2 binary32) (PI.f32)) tau)) tau))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 #s(approx (+ ( tau x) 1) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 1 binary32) x)))) (PI.f32) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (+.f32 (neg.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 tau) (-.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) tau)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 #s(approx (+ ( tau x) 2) (.f32 (neg.f32 x) (-.f32 (neg.f32 tau) (/.f32 #s(literal 2 binary32) x)))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 #s(approx (/ (sin (+ ( (+ (* tau x) 1) (PI)) (PI))) (* (* x (PI)) tau)) (/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) x) (.f32 #s(literal 0 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 tau x #s(literal 1 binary32)) (fma.f32 tau x #s(literal 1 binary32))) #s(literal 1 binary32)) (-.f32 (fma.f32 tau x #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) #s(approx (/ (sin ( x (PI))) (* x (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))))

Outputs

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

Calls

4 calls:

24.0ms	(*.f32 x (PI.f32))
24.0ms	tau
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))))
19.0ms	x

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes32.0ms (0.4%)

Memory

31.1MiB live, 77.5MiB allocated; 3ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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))))`
86.6%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes36.0ms (0.4%)

Memory

-14.4MiB live, 78.2MiB allocated; 4ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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))))
9.0ms	tau
9.0ms	x
7.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
81.0%	1	`(*.f32 x (PI.f32))`
81.0%	1	`x`
81.0%	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))))`
81.0%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes35.0ms (0.4%)

Memory

-17.2MiB live, 76.8MiB allocated; 10ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	tau
10.0ms	(*.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	x

Results

Accuracy	Segments	Branch
81.0%	1	`(*.f32 x (PI.f32))`
81.0%	1	`x`
81.0%	1	`tau`
81.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes17.0ms (0.2%)

Memory

2.9MiB live, 49.5MiB allocated; 2ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	(*.f32 x (PI.f32))
4.0ms	tau
4.0ms	x
4.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
81.0%	1	`(*.f32 x (PI.f32))`
81.0%	1	`x`
81.0%	1	`tau`
81.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes15.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.4%	1	`tau`
80.4%	1	`(*.f32 x (PI.f32))`
80.4%	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))))`
80.4%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes10.0ms (0.1%)

Memory

-30.4MiB live, 16.1MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.9%	1	`(*.f32 x (PI.f32))`
65.9%	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))))`
65.9%	1	`x`
65.9%	1	`tau`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Accuracy

Total -18.9b remaining (-168.8%)

Threshold costs -18.9b (-168.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.1%	1	`tau`
65.1%	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))))`
65.1%	1	`(*.f32 x (PI.f32))`
65.1%	1	`x`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify62.0ms (0.7%)

Memory

3.2MiB live, 57.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	366
1	106	366
2	207	363
3	562	363
4	1838	357
5	7820	357

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations2.9s (34.6%)

Memory

3.4MiB live, 629.3MiB allocated; 116ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 373 to 78 computations (79.1% saved)

preprocess45.0ms (0.5%)

Memory

5.4MiB live, 96.9MiB allocated; 11ms collecting garbage

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 124 to 368 computations (67.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze47.0ms (0.6%)

sample1.7s (20.3%)

explain144.0ms (1.7%)

preprocess174.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series59.0ms (0.7%)

simplify235.0ms (2.8%)

rewrite109.0ms (1.3%)

eval53.0ms (0.6%)

prune39.0ms (0.5%)

series55.0ms (0.6%)

simplify181.0ms (2.1%)

rewrite65.0ms (0.8%)

eval82.0ms (1%)

prune43.0ms (0.5%)

series71.0ms (0.8%)

simplify130.0ms (1.5%)

rewrite190.0ms (2.2%)

eval123.0ms (1.5%)

prune87.0ms (1%)

series64.0ms (0.8%)

simplify173.0ms (2%)

rewrite734.0ms (8.7%)

eval87.0ms (1%)

prune143.0ms (1.7%)

regimes165.0ms (2%)

regimes119.0ms (1.4%)

regimes92.0ms (1.1%)

regimes94.0ms (1.1%)

regimes32.0ms (0.4%)

regimes36.0ms (0.4%)

regimes35.0ms (0.4%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

simplify62.0ms (0.7%)

derivations2.9s (34.6%)

preprocess45.0ms (0.5%)

end0.0ms (0%)

Profiling