Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.2MiB live, 0.1MiB allocated

analyze22.0ms (0.2%)

Memory

9.7MiB live, 49.0MiB allocated

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)

sample1.9s (15.5%)

Memory

-119.0MiB live, 2 410.7MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 948.0ms

const: 212.0ms (22.4% of total)

ival-mult: 161.0ms (17% of total)

ival-sin: 137.0ms (14.4% of total)

ival-sinu: 130.0ms (13.7% of total)

ival-div: 116.0ms (12.2% of total)

ival-<=: 115.0ms (12.1% of total)

ival-pi: 42.0ms (4.4% of total)

ival-and: 23.0ms (2.4% of total)

exact: 9.0ms (0.9% of total)

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

Bogosity

explain146.0ms (1.2%)

Memory

-18.3MiB live, 219.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.8606591820716858 2.342761278152466)	`(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	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	3
-	0	0	253

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

76.0ms

512×

valid

Compiler

Compiled 211 to 78 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 36.0ms (58.1% of total)

ival-sinu: 9.0ms (14.5% of total)

ival-sin: 8.0ms (12.9% of total)

ival-div: 6.0ms (9.7% of total)

ival-pi: 2.0ms (3.2% of total)

ival-true: 1.0ms (1.6% of total)

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

preprocess79.0ms (0.6%)

Memory

-9.6MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Rules

1 192×	`neg-sub0`
1 146×	`neg-mul-1`
868×	`distribute-frac-neg`
794×	`associate-l`
772×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	88	123
2	415	107
3	2253	107
4	4724	107
5	6828	107
6	7824	107
0	10	21
0	18	21
1	31	21
2	88	21
3	296	21
4	699	21
5	1082	21
6	1115	21
7	1115	21
0	1115	21

Stop Event

1×	iter limit
1×	saturated
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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.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))))

Compiler

Compiled 21 to 10 computations (52.4% saved)

simplify20.0ms (0.2%)

Memory

32.3MiB live, 32.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
cost-diff	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))))

Rules

598×	`times-frac`
578×	`lower-*.f64`
572×	`lower-*.f32`
540×	`lower-/.f64`
536×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	62
0	18	62
1	31	62
2	88	62
3	296	62
4	699	62
5	1082	62
6	1115	62
7	1115	62
0	1115	62

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize36.0ms (0.3%)

Memory

-6.2MiB live, 69.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.30785222631900255	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.31640625	(*.f32 x (PI.f32))
accuracy	0.34117128907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.44339755861065216	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Samples

27.0ms

256×

valid

Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.4% of total)

ival-sin: 5.0ms (27.4% of total)

ival-sinu: 4.0ms (21.9% of total)

ival-div: 3.0ms (16.4% of total)

ival-pi: 1.0ms (5.5% of total)

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

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

series61.0ms (0.5%)

Memory

0.3MiB live, 46.2MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor inf tau) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor inf tau) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor inf tau) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor inf tau) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (sin (* tau (* x (PI)))) (taylor -inf x) (#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor -inf x) (#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
8.0ms	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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
5.0ms	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) (/ (sin (* x (PI))) (* x (PI))) (* 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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))
3.0ms	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) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)))

simplify235.0ms (1.9%)

Memory

-40.7MiB live, 224.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 966×	`lower-fma.f64`
16 966×	`lower-fma.f32`
6 828×	`lower-+.f64`
6 828×	`lower-+.f32`
6 246×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1582
1	620	1562
2	2407	1538
3	4137	1538
4	4871	1538
5	5550	1538
6	5940	1538
7	5971	1538
8	5971	1538
0	8816	1486

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ (sin (* x (PI))) (* 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
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 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 (* 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 (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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 (* -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)))))))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 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))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (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)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))

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

rewrite139.0ms (1.1%)

Memory

14.9MiB live, 209.4MiB allocated

Rules

4 760×	`lower-*.f64`
4 754×	`lower-*.f32`
3 316×	`lower-/.f64`
3 312×	`lower-/.f32`
1 604×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53

Stop Event

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

Counts

6 → 670

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

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

eval106.0ms (0.9%)

Memory: 20.6MiB live, 251.7MiB allocated
Compiler: Compiled 24 307 to 2 341 computations (90.4% saved)

prune173.0ms (1.4%)

Memory

-19.1MiB live, 476.0MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	980	33	1 013
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	980	34	1 014

Accuracy

99.8%

Counts

1 014 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (neg.f32 tau)) (sin.f32 (*.f32 (PI.f32) x))) x) (neg.f32 (PI.f32)))
	96.2%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (cbrt.f32 (PI.f32)))
	97.4%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (sin.f32 (.f32 (PI.f32) x))) x)
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))
	97.7%	(/.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)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.5%	(/.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)))
▶	98.0%	(/.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)))
	97.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (neg.f32 (sin.f32 (.f32 (PI.f32) x)))) (.f32 (.f32 (PI.f32) x) (*.f32 (neg.f32 (PI.f32)) x)))
	96.7%	(/.f32 (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) x)) (.f32 (PI.f32) (*.f32 tau (PI.f32))))
	97.0%	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (.f32 (neg.f32 (PI.f32)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
▶	97.1%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
	97.2%	(.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)))
	96.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) x) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))))
	97.5%	(.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))
	97.4%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
	97.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (neg.f32 (PI.f32)) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.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 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
✓	98.0%	(.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))))
	97.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
	75.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	97.3%	(.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))))
	97.5%	(.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)))
▶	97.4%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.0%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	68.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	97.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
▶	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 433 to 836 computations (41.7% saved)

simplify101.0ms (0.8%)

Memory

-23.5MiB live, 129.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
cost-diff	0	(/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
cost-diff	416	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	160	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
cost-diff	0	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
cost-diff	0	(/.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)))

Rules

4 458×	`lower-*.f64`
4 430×	`lower-*.f32`
3 414×	`lower-/.f64`
3 396×	`lower-/.f32`
2 512×	`lower-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	342
0	74	337
1	155	337
2	390	337
3	1547	337
4	3348	337
5	6991	337
0	8577	337

Stop Event

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

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

Outputs
(/.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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 x (PI.f32)) tau)
tau
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
#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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x))
(/.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 (.f32 tau (PI.f32)) x)
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
(/.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) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(PI.f32)
x
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 x (PI.f32)) tau)
tau
(/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32)))
#s(literal 1 binary32)
(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
(.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
#s(literal -1 binary32)
(.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (.f32 (/.f32 (neg.f32 x) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
(/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))
(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
(*.f32 (neg.f32 x) tau)
(neg.f32 x)
x
tau
(PI.f32)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))

localize102.0ms (0.8%)

Memory

5.2MiB live, 207.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.30785222631900255	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.31640625	(*.f32 (PI.f32) x)
accuracy	0.41015625	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
accuracy	0.4186325195368841	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
accuracy	0.3170700195368841	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.3359375	(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
accuracy	0.38119125976844204	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.5045700195368841	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
accuracy	0.31640625	(*.f32 x (PI.f32))
accuracy	0.34117128907376815	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
accuracy	0.34375	(*.f32 tau (PI.f32))
accuracy	0.44339755861065216	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x))
accuracy	10.26554122612828	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
accuracy	0.30785222631900255	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.313163769536884	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
accuracy	0.31640625	(*.f32 (PI.f32) x)
accuracy	0.43396381837909415	(/.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)))

Samples

73.0ms

256×

valid

Compiler

Compiled 342 to 36 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 28.0ms (48.5% of total)

ival-div: 16.0ms (27.7% of total)

ival-sin: 7.0ms (12.1% of total)

ival-sinu: 4.0ms (6.9% of total)

ival-pi: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory

-10.7MiB live, 109.3MiB allocated

Counts

22 → 456

Calls

Call 1

Inputs
#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (PI.f32) x)) (patch (sin.f32 (.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))) (patch (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())
#s(alt (.f32 tau (PI.f32)) (patch (.f32 tau (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) (taylor 0 tau) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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)))) (taylor 0 tau) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (* tau (sin (* x (PI)))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))))))) (taylor 0 tau) (#s(alt (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (patch (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt tau (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (PI))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (* 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))))))))) (taylor 0 tau) (#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor -inf x) (#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* x (PI)) (taylor -inf x) (#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	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))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x))))) (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (* (* (neg x) tau) (PI)) (* (PI) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau (* (PI) x)) (PI)))
8.0ms	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))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x))))) (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (* (* (neg x) tau) (PI)) (* (PI) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau (* (PI) x)) (PI)))
5.0ms	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))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x))))) (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (* (* (neg x) tau) (PI)) (* (PI) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau (* (PI) x)) (PI)))
5.0ms	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))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x))))) (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (* (* (neg x) tau) (PI)) (* (PI) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau (* (PI) x)) (PI)))
5.0ms	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))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* tau (PI)) x)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* (PI) x)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x))))) (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (* (* (neg x) tau) (PI)) (* (PI) x) (* tau (PI)) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (* (* tau (* (PI) x)) (PI)))

simplify214.0ms (1.8%)

Memory

41.1MiB live, 314.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 032×	`lower-fma.f64`
18 032×	`lower-fma.f32`
9 248×	`lower-*.f64`
9 248×	`lower-*.f32`
3 702×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	485	7793
1	1719	7534
2	7079	7534
0	8074	7275

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 454

Calls

Call 1

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

Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (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 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 (PI.f32) x)))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)
(* 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)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau)
(* 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))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (.f32 tau tau))) (.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau)
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 tau #s(literal 3 binary32)) (PI.f32)) (PI.f32)) tau)
(* tau (+ 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 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) tau)
(* 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)))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) tau)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
(* 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 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (.f32 tau tau))) (.f32 tau (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (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 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 tau tau) #s(literal 1/120 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)) (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 x #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (.f32 tau tau))) (.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+ 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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))))) (.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 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x (.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
(* 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 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.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 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (.f32 tau tau))) (.f32 tau (.f32 (PI.f32) x)))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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))))
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1
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(+ 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 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32))) (*.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 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) 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)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 x tau) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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 x tau) (PI.f32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 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 x tau) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) 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))) (pow.f32 x #s(literal 3 binary32))))
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#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 #s(literal -1/6 binary32) 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 (.f32 #s(literal -1/6 binary32) 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 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
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#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 #s(literal -1/6 binary32) 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 (.f32 #s(literal -1/6 binary32) 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))))))))))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 tau tau) #s(literal -1/6 binary32)) (.f32 (.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #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 (.f32 (.f32 #s(literal -1/6 binary32) tau) tau) (PI.f32)) (PI.f32) (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (.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 #s(literal -1/6 binary32) tau) tau) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal -1/5040 binary32)) (.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 x x))) (*.f32 x x) #s(literal 1 binary32))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(fma.f32 (.f32 x tau) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.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 x tau) (PI.f32) (.f32 (fma.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (pow.f32 tau #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 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 x tau) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 tau #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) 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))) (pow.f32 x #s(literal 3 binary32))))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
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 #s(literal -1/6 binary32) 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 (.f32 #s(literal -1/6 binary32) 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 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (.f32 x x) #s(literal 1 binary32))
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* x (+ (* 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 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau (.f32 (pow.f32 (PI.f32) #s(literal 6 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 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)
(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) tau (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 8 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 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 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 4 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))))) (.f32 x x) (.f32 (.f32 tau (PI.f32)) (PI.f32))) x)
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(fma.f32 (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 x x) (PI.f32))
(+ (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 (fma.f32 (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))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (.f32 x x) (PI.f32))
(* 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)))))))
(fma.f32 (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))) (pow.f32 x #s(literal 3 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 (fma.f32 (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))) (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (.f32 (PI.f32) x))
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 #s(literal -1/6 binary32) 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))))))))))
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(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (PI.f32) x))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (* x (PI)))
(.f32 tau (.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))))
(.f32 (/.f32 (neg.f32 (.f32 tau (.f32 x x))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (/ (* tau (* x (PI))) (sin (* tau (* x (PI))))))
(/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* -1 (* tau (* x (PI))))
(.f32 (.f32 (neg.f32 tau) (PI.f32)) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)

rewrite202.0ms (1.7%)

Memory

-22.9MiB live, 324.2MiB allocated

Rules

3 824×	`lower-*.f64`
3 796×	`lower-*.f32`
3 224×	`lower-/.f64`
3 206×	`lower-/.f32`
1 404×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	254
0	74	249
1	258	249
2	1444	237
3	6822	237
0	8104	237

Stop Event

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

Counts

22 → 1 566

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

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

eval222.0ms (1.8%)

Memory: 64.9MiB live, 430.5MiB allocated
Compiler: Compiled 61 041 to 3 828 computations (93.7% saved)

prune256.0ms (2.1%)

Memory

-21.4MiB live, 462.5MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	2 466	32	2 498
Fresh	20	8	28
Picked	3	2	5
Done	0	1	1
Total	2 489	43	2 532

Accuracy

99.8%

Counts

2 532 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x x)) (PI.f32))
	96.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau)) (.f32 (*.f32 (PI.f32) (PI.f32)) x))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) x))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) (neg.f32 x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	75.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
▶	97.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
	97.2%	(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau))) (.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
	68.6%	(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
	96.8%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	74.7%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))))
▶	97.8%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
	67.9%	(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal -1 binary32))))
	68.7%	(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/.f32 (.f32 (neg.f32 x) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))))
	97.8%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)))
	96.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) tau) x))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))) (*.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (sqrt.f32 (PI.f32)) x)))))
✓	98.0%	(.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))))
	75.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
▶	97.8%	(.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)))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) x)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	96.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 x (PI.f32)) tau)))))
	96.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32))))) (cbrt.f32 (PI.f32)))))
	74.8%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	97.2%	(.f32 (.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x x))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
▶	74.8%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	97.0%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (.f32 (*.f32 (neg.f32 x) tau) (PI.f32))))
	67.7%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	68.5%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	67.9%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
▶	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
✓	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 1 750 to 1 078 computations (38.4% saved)

simplify95.0ms (0.8%)

Memory

12.7MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))))
cost-diff	0	(.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
cost-diff	128	(neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))
cost-diff	416	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
cost-diff	0	(*.f32 x (PI.f32))
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
cost-diff	0	(PI.f32)
cost-diff	0	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	352	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
cost-diff	0	(fma.f32 tau tau #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
cost-diff	0	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
cost-diff	0	(.f32 (.f32 x (PI.f32)) tau)
cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
cost-diff	0	(.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)))

Rules

3 836×	`lower-*.f64`
3 804×	`lower-*.f32`
3 180×	`lower-/.f64`
3 164×	`lower-/.f32`
2 380×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	53	406
0	94	399
1	189	397
2	548	393
3	2499	393
4	5145	393
0	8295	393

Stop Event

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

Calls

Call 1

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

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

localize137.0ms (1.1%)

Memory

-17.9MiB live, 196.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.30785222631900255	(sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))
accuracy	0.31640625	(*.f32 (PI.f32) x)
accuracy	0.41015625	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
accuracy	0.4186325195368841	(.f32 (.f32 (neg.f32 x) tau) (PI.f32))
accuracy	0.31640625	(*.f32 x (PI.f32))
accuracy	0.375	(.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32)))
accuracy	0.38119125976844204	(.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))
accuracy	0.4551163086106521	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
accuracy	0.3170700195368841	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.38119125976844204	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.5045700195368841	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
accuracy	7.855598377955144	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	5.4910116271259755	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
accuracy	16.93029536103573	(fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))
accuracy	26.2715976142388	(fma.f32 tau tau #s(literal 1 binary32))
accuracy	0.30785222631900255	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
accuracy	0.31640625	(*.f32 x (PI.f32))
accuracy	0.3639450195368841	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x (PI.f32)) tau))
accuracy	0.43492128907376804	(.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)))

Samples

104.0ms

256×

valid

Compiler

Compiled 390 to 47 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 29.0ms (37.5% of total)

ival-div: 16.0ms (20.7% of total)

ival-pi: 9.0ms (11.6% of total)

ival-sinu: 8.0ms (10.4% of total)

ival-sin: 7.0ms (9.1% of total)

const: 4.0ms (5.2% of total)

ival-add: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory

8.1MiB live, 126.3MiB allocated

Counts

26 → 516

Calls

Call 1

Inputs
#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (patch (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 x (PI.f32)) tau) (patch (.f32 (.f32 x (PI.f32)) tau) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) (patch #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) (patch (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (patch (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 tau tau #s(literal 1 binary32)) (patch (fma.f32 tau tau #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32)))) (patch (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 x (PI.f32)) (patch (.f32 x (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))) (patch (/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))) #<representation binary32>) () ())
#s(alt (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (patch (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (patch (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (patch (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (PI.f32)) (patch (.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32)) (patch (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32))) (patch (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (patch (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (patch (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #<representation binary32>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	0	((* (/ (sin (* (* x (PI)) tau)) (* x (PI))) (/ (sin (* x (PI))) (* (* x (PI)) tau))) (/ (sin (* (* x (PI)) tau)) (* x (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (* x (PI)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x))))) (neg (sin (* (* (neg x) tau) (PI)))) (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (sin (* x (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* (* tau (* (PI) x)) (PI)) (* (* (* x (PI)) tau) (PI)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (* (* (neg x) tau) (PI)) (* (PI) x) (sin (* (* (neg x) tau) (PI))))
8.0ms	x	@	0	((* (/ (sin (* (* x (PI)) tau)) (* x (PI))) (/ (sin (* x (PI))) (* (* x (PI)) tau))) (/ (sin (* (* x (PI)) tau)) (* x (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (* x (PI)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x))))) (neg (sin (* (* (neg x) tau) (PI)))) (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (sin (* x (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* (* tau (* (PI) x)) (PI)) (* (* (* x (PI)) tau) (PI)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (* (* (neg x) tau) (PI)) (* (PI) x) (sin (* (* (neg x) tau) (PI))))
7.0ms	x	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* x (PI))) (/ (sin (* x (PI))) (* (* x (PI)) tau))) (/ (sin (* (* x (PI)) tau)) (* x (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (* x (PI)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x))))) (neg (sin (* (* (neg x) tau) (PI)))) (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (sin (* x (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* (* tau (* (PI) x)) (PI)) (* (* (* x (PI)) tau) (PI)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (* (* (neg x) tau) (PI)) (* (PI) x) (sin (* (* (neg x) tau) (PI))))
6.0ms	x	@	inf	((* (/ (sin (* (* x (PI)) tau)) (* x (PI))) (/ (sin (* x (PI))) (* (* x (PI)) tau))) (/ (sin (* (* x (PI)) tau)) (* x (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (* x (PI)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x))))) (neg (sin (* (* (neg x) tau) (PI)))) (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (sin (* x (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* (* tau (* (PI) x)) (PI)) (* (* (* x (PI)) tau) (PI)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (* (* (neg x) tau) (PI)) (* (PI) x) (sin (* (* (neg x) tau) (PI))))
6.0ms	tau	@	-inf	((* (/ (sin (* (* x (PI)) tau)) (* x (PI))) (/ (sin (* x (PI))) (* (* x (PI)) tau))) (/ (sin (* (* x (PI)) tau)) (* x (PI))) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (+ (* tau tau) 1) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (* x (PI)) (/ -1 (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x))))) (neg (sin (* (* (neg x) tau) (PI)))) (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (sin (* x (PI))) (* (* x (PI)) tau)) (* (PI) (PI)) (* (* tau (* (PI) x)) (PI)) (* (* (* x (PI)) tau) (PI)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (* (* (neg x) tau) (PI)) (* (PI) x) (sin (* (* (neg x) tau) (PI))))

simplify253.0ms (2.1%)

Memory

27.0MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 582×	`lower-fma.f64`
10 582×	`lower-fma.f32`
5 946×	`lower-*.f64`
5 946×	`lower-*.f32`
5 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	577	8500
1	2050	8163
2	5065	8032
0	8435	7782

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 514

Calls

Call 1

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

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

rewrite302.0ms (2.5%)

Memory

8.9MiB live, 256.6MiB allocated

Rules

4 388×	`lower-*.f64`
4 356×	`lower-*.f32`
3 286×	`lower-/.f64`
3 270×	`lower-/.f32`
2 300×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	311
0	94	302
1	315	302
2	2054	284
0	8517	282

Stop Event

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

Counts

26 → 1 463

Calls

Call 1

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

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

eval1.2s (10.1%)

Memory: 46.7MiB live, 555.7MiB allocated
Compiler: Compiled 82 289 to 7 079 computations (91.4% saved)

prune553.0ms (4.5%)

Memory

-46.2MiB live, 903.1MiB allocated

Pruning

103 alts after pruning (99 fresh and 4 done)

	Pruned	Kept	Total
New	3 202	78	3 280
Fresh	14	21	35
Picked	3	2	5
Done	1	2	3
Total	3 220	103	3 323

Accuracy

99.8%

Counts

3 323 → 103

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x x)) (PI.f32))
	74.8%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
▶	74.9%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
	74.7%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (PI.f32))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) x))
▶	98.0%	(/.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)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) (neg.f32 x)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (.f32 tau (.f32 (PI.f32) x)))
	75.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	75.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32)))
	75.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.1%	(/.f32 (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32))))
	97.4%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
✓	97.5%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
	96.3%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (/.f32 (.f32 x (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
	75.0%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
	97.6%	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
	97.2%	(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau))) (.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
	74.6%	(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))
	74.6%	(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau)))
	75.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	74.6%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))))
	96.8%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	74.7%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))))
	95.7%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))))
	94.8%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)))))
	96.5%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) x)))))
	67.9%	(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal -1 binary32))))
	97.9%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
	74.8%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))))
	74.8%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)))
✓	97.8%	(.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)))
	74.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) tau)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	74.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 tau (PI.f32))))
	74.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	74.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))
	74.7%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
	74.6%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (PI.f32))))
	74.7%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
	96.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32))))) (cbrt.f32 (PI.f32)))))
	74.8%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
	97.2%	(.f32 (.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x x))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.6%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
▶	74.3%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.8%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	74.3%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.5%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.8%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 (PI.f32) x))))))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (PI.f32)))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x)))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (*.f32 tau (PI.f32)))))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (PI.f32))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* tau (* (PI) x)) (PI)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
	74.9%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	67.7%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	67.7%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.7%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))))
	74.6%	(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (PI.f32))))
	67.9%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
▶	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	96.9%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
	67.9%	#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	10.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
	7.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	65.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	7.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	37.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	60.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
▶	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	4.5%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
✓	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 4 105 to 2 689 computations (34.5% saved)

simplify185.0ms (1.5%)

Memory

14.2MiB live, 91.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (sin (* (PI) x)) x) (*.f32 (PI.f32) (log.f32 (E.f32))))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))
cost-diff	0	(PI.f32)
cost-diff	0	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
cost-diff	0	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
cost-diff	0	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
cost-diff	0	(*.f32 (PI.f32) x)
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
cost-diff	0	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 x x))
cost-diff	0	(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff	0	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
cost-diff	0	(sin.f32 (*.f32 (PI.f32) x))
cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
cost-diff	0	(/.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)))

Rules

4 348×	`lower-*.f64`
4 328×	`lower-*.f32`
2 134×	`associate-r`
1 376×	`associate-*r/`
1 140×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	397
0	84	382
1	179	382
2	492	382
3	1758	382
4	2361	382
5	2858	382
6	3551	382
7	4118	382
8	4876	382
9	6149	382
10	6149	382
11	6149	382
12	6229	382
13	6234	382
14	6234	382
15	6818	382
16	7016	382
17	7067	382
18	7067	382
19	7067	382
0	8057	378

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1%)

Memory

12.5MiB live, 285.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38119125976844204	(.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))
accuracy	0.5045700195368841	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
accuracy	1.0	(log.f32 (E.f32))
accuracy	7.855598377955144	#s(approx (/ (sin (* (PI) x)) x) (*.f32 (PI.f32) (log.f32 (E.f32))))
accuracy	0.3170700195368841	(.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
accuracy	0.41634750976844204	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.47103500976844204	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
accuracy	7.855598377955144	#s(approx (/ (sin (* (PI) x)) x) (PI.f32))
accuracy	0.18767341452874398	(sin.f32 (*.f32 (PI.f32) x))
accuracy	0.31640625	(*.f32 (PI.f32) x)
accuracy	0.34117128907376815	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	10.039251387501372	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	5.4910116271259755	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
accuracy	10.178601876301439	#s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	15.70794195711892	(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy	0.30785222631900255	(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
accuracy	0.31640625	(*.f32 (PI.f32) x)
accuracy	0.34117128907376815	(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
accuracy	0.43396381837909415	(/.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)))

Samples

97.0ms

256×

valid

Compiler

Compiled 328 to 44 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 37.0ms (46% of total)

ival-div: 17.0ms (21.2% of total)

ival-sin: 8.0ms (10% of total)

ival-sinu: 5.0ms (6.2% of total)

const: 4.0ms (5% of total)

ival-add: 3.0ms (3.7% of total)

ival-log: 3.0ms (3.7% of total)

ival-e: 2.0ms (2.5% of total)

ival-pi: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

11.9MiB live, 124.9MiB allocated

Counts

23 → 372

Calls

Call 1

Inputs
#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (patch (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 (PI.f32) x)) (patch (sin.f32 (.f32 (PI.f32) x)) #<representation binary32>) () ())
#s(alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (patch #s(approx ( (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (patch #s(approx (+ ( (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (patch (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal -1/6 binary32) (.f32 x x)) (patch (.f32 #s(literal -1/6 binary32) (.f32 x x)) #<representation binary32>) () ())
#s(alt #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) (patch #s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) x) (patch (.f32 (PI.f32) x) #<representation binary32>) () ())
#s(alt (/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (patch (/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (patch #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (log.f32 (E.f32)) (patch (log.f32 (E.f32)) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (log.f32 (E.f32))) (patch (.f32 (PI.f32) (log.f32 (E.f32))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (/ (sin ( (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (patch (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))) #<representation binary32>) () ())
#s(alt #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (patch #s(approx (/ (sin ( (PI) x)) x) (*.f32 (PI.f32) (log.f32 (E.f32)))) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (patch (sin.f32 (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (.f32 (PI.f32) (PI.f32)) (patch (.f32 (PI.f32) (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt (/ (sin (* x (PI))) (* x (PI))) (taylor 0 tau) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
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#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI)))) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI)))) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI)))) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI)))) (taylor -inf x) (#s(alt (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (patch (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) (taylor -inf x) (#s(alt (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) (patch (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* tau (* x (pow (PI) 2))) (taylor -inf x) (#s(alt (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (patch (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	tau	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (PI) x) (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (log (E)) (* (PI) (log (E))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x))) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (* tau (* (PI) x)) (PI)))
11.0ms	tau	@	0	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (PI) x) (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (log (E)) (* (PI) (log (E))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x))) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (* tau (* (PI) x)) (PI)))
6.0ms	x	@	-inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (PI) x) (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (log (E)) (* (PI) (log (E))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x))) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (* tau (* (PI) x)) (PI)))
4.0ms	x	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (PI) x) (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (log (E)) (* (PI) (log (E))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x))) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (* tau (* (PI) x)) (PI)))
4.0ms	tau	@	inf	((/ (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (/ (sin (* (PI) x)) (* (PI) x)) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) (* (PI) x)) (sin (* (PI) x)) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (* -1/6 (* x x)) (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (* (PI) x) (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (PI) (log (E)) (* (PI) (log (E))) (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x))) (* (PI) (PI)) (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (* (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (/ 1 (* (* tau (* (PI) x)) (PI)))) (* (* tau (* (PI) x)) (PI)))

simplify217.0ms (1.8%)

Memory

3.0MiB live, 316.1MiB allocated

Algorithm

1×	egg-herbie

Rules

17 938×	`lower-fma.f64`
17 938×	`lower-fma.f32`
8 004×	`lower-*.f64`
8 004×	`lower-*.f32`
5 082×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	7080
1	1364	6772
2	5200	6458
3	7561	6458
0	8360	6203

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (.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) (sin.f32 (.f32 (PI.f32) x))) (PI.f32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (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)))
(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 (PI.f32) x)))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x))) tau)
(* 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)))))))))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))) (.f32 tau tau) (sin.f32 (.f32 (PI.f32) x))) tau)
(* 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))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 (.f32 tau tau) x) x) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) x)) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (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 (.f32 #s(literal -1/5040 binary32) tau) tau) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32)))))))) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (.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) (sin.f32 (.f32 (PI.f32) x))) (PI.f32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (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 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (.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) (sin.f32 (.f32 (PI.f32) x))) (PI.f32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (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)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.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 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (.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) (sin.f32 (.f32 (PI.f32) x))) (PI.f32) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (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)))
(* tau (* (PI) (sin (* x (PI)))))
(.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal -1/6 binary32)) x) x (PI.f32))) tau)
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) x))) (.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal -1/6 binary32)) x) x (PI.f32)) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 6 binary32)))))))) tau)
(* tau (* (PI) (sin (* x (PI)))))
(.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI))))))) (* (PI) (sin (* x (PI))))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (.f32 (.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal -1/6 binary32)) x) x (PI.f32))) tau)
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(fma.f32 (pow.f32 tau #s(literal 3 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32)) x) x))) (.f32 (.f32 tau (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(* tau (+ (* (PI) (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) tau) tau) #s(literal -1/6 binary32)) x) x (PI.f32)) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (fma.f32 (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 6 binary32)))))))) tau)
(* tau (* x (PI)))
(.f32 tau (.f32 (PI.f32) x))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 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 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (.f32 tau (*.f32 (PI.f32) x)))
(* 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 (pow.f32 tau #s(literal 3 binary32)) (fma.f32 (.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/5040 binary32) tau) tau) (.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 (.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 tau tau))) (.f32 tau (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x))
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(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
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(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
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(* x (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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1
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(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/ (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))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(sin (* x (PI)))
(sin.f32 (*.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x)
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(* -1/6 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(* -1/6 (pow x 2))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (PI.f32) x)
(* x (PI))
(*.f32 (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 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (sin.f32 (.f32 (PI.f32) x)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (PI))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x)))
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)
(* tau (* x (pow (PI) 2)))
(.f32 (.f32 (*.f32 tau (PI.f32)) (PI.f32)) x)

rewrite222.0ms (1.8%)

Memory

-2.3MiB live, 361.2MiB allocated

Rules

5 068×	`lower-*.f64`
5 048×	`lower-*.f32`
3 780×	`lower-/.f64`
3 770×	`lower-/.f32`
3 762×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	321
0	84	306
1	325	293
2	2075	293
0	8455	286

Stop Event

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

Counts

23 → 942

Calls

Call 1

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

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

eval273.0ms (2.2%)

Memory: -6.1MiB live, 511.2MiB allocated
Compiler: Compiled 56 522 to 5 508 computations (90.3% saved)

prune511.0ms (4.2%)

Memory

3.7MiB live, 975.0MiB allocated

Pruning

153 alts after pruning (147 fresh and 6 done)

	Pruned	Kept	Total
New	2 466	67	2 533
Fresh	14	80	94
Picked	2	3	5
Done	1	3	4
Total	2 483	153	2 636

Accuracy

99.8%

Counts

2 636 → 153

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.7%	(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) x) (PI.f32)) (PI.f32))
	74.9%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
	74.8%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))) x) (PI.f32))
	74.7%	(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (PI.f32))
	74.8%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (*.f32 x (PI.f32)))
	74.6%	(/.f32 (/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (PI.f32))
	74.8%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) tau) (PI.f32))
	74.8%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
	74.6%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
	74.8%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
	74.7%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (PI.f32))
	74.7%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (PI.f32))
✓	74.9%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
	67.8%	(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
	74.8%	(/.f32 (/.f32 (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (.f32 (neg.f32 tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (PI.f32))
	75.0%	(/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	67.7%	(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
	74.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))) (PI.f32))
	74.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))))) (PI.f32))
	74.6%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) x))) (PI.f32))
	74.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (PI.f32)))) (PI.f32))
	74.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 tau (PI.f32))))) (PI.f32))
	74.8%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))) (PI.f32))
	74.7%	(/.f32 (/.f32 #s(literal -1 binary32) (.f32 (neg.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))) (PI.f32))
	74.6%	(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau))) (PI.f32))
	74.7%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (PI.f32))
	74.6%	(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (PI.f32))
	74.6%	(/.f32 (.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (PI.f32))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (*.f32 x (PI.f32)) x))
	96.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) x)))) (.f32 tau (*.f32 (PI.f32) x)))
✓	98.0%	(/.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)))
	97.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) x))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32)))
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (*.f32 (PI.f32) tau) (PI.f32)) (neg.f32 x)))
	75.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	74.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32))
	97.4%	(/.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
	74.8%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (PI.f32))
	74.7%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) (PI.f32))
	74.7%	(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) (PI.f32))
	75.0%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32)))
	97.1%	(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (.f32 (.f32 (neg.f32 x) (PI.f32)) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)))
	74.6%	(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))) (PI.f32))
	74.7%	(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
	75.0%	(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	96.1%	(/.f32 (sin.f32 (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (.f32 x (PI.f32)) tau) (PI.f32))))
	97.4%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))
	96.3%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (/.f32 (.f32 x (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))))
	75.0%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
	97.2%	(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x tau))) (.f32 (*.f32 (neg.f32 x) (PI.f32)) (PI.f32)))
	74.6%	(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))
	74.7%	(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (neg.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))))
	74.6%	(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
	68.6%	(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32))
	74.6%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (PI.f32))))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau)))
	75.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
	74.7%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32))))
	74.8%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32)))))
	74.6%	(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))))
	96.8%	(/.f32 #s(literal -1 binary32) (/.f32 (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	74.7%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))))
	95.7%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) x))))))
	94.8%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) x)))))
	96.5%	(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) x)))))
	74.9%	(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 (PI.f32)) (/.f32 (/.f32 tau #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))))
	67.9%	(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal -1 binary32))))
	74.9%	(.f32 (pow.f32 (.f32 (PI.f32) (/.f32 tau #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
	74.6%	(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
	74.7%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
	74.8%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))))
	74.8%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau))
	74.7%	(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
✓	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)))
✓	97.8%	(.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)))
	74.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) tau)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.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))))
	74.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
	74.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 tau (PI.f32))))
	74.8%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
	74.9%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))
	74.7%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
	74.6%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)))
	74.8%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (PI.f32)))
	74.6%	(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (PI.f32))))
	74.8%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	74.9%	(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
	74.7%	(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
	96.0%	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 x (PI.f32))))) (cbrt.f32 (PI.f32)))))
	74.8%	(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
	97.2%	(.f32 (.f32 (.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x x))) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.6%	(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	74.7%	(.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (PI.f32))))
	74.3%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))))
	74.3%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)))
	74.4%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x)))
	74.8%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	74.3%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.5%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (PI.f32)))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x)))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (*.f32 tau (PI.f32)))))
	74.7%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (PI.f32))))
	74.6%	(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* tau (* (PI) x)) (PI)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
	97.7%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
	74.9%	(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
	97.7%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
	67.7%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	67.7%	(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
	74.7%	(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))))
	74.6%	(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (PI.f32))))
	96.9%	#s(approx (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
	68.4%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (PI.f32) x)))
✓	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	68.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))))
	67.6%	#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	67.9%	#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal 1 binary32)))
	96.9%	#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
	10.1%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
	7.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
	7.2%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	37.3%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
	64.8%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
	67.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	62.4%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal 1 binary32))))
	68.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/36 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
	68.6%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
	4.7%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
✓	67.9%	#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))

Compiler

Compiled 7 214 to 2 783 computations (61.4% saved)

regimes274.0ms (2.2%)

Memory

-11.4MiB live, 415.3MiB allocated

Counts

211 → 1

Calls

Call 1

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

Outputs
(/.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)))

Calls

4 calls:

82.0ms	(*.f32 x (PI.f32))
67.0ms	x
56.0ms	(.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))))
54.0ms	tau

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes184.0ms (1.5%)

Memory

12.2MiB live, 245.3MiB allocated

Counts

161 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (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(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) 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 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #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))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 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 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/36 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (/.f32 tau #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
#s(approx (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (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 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) x)))
(.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 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) (PI.f32))))

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

Calls

4 calls:

48.0ms	tau
44.0ms	(*.f32 x (PI.f32))
44.0ms	x
40.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
98.0%	1	`x`
98.0%	1	`tau`
98.0%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
98.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes175.0ms (1.4%)

Memory

13.0MiB live, 235.9MiB allocated

Counts

155 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (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(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) 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 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #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))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 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 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/36 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (/.f32 tau #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 tau x))))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
#s(approx (/ (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (PI)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (.f32 tau (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x x))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (.f32 tau (*.f32 x (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 (sin.f32 (.f32 (.f32 tau x) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (PI.f32)) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (*.f32 x (PI.f32)) tau) x)))
(.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 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs
(.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)))

Calls

4 calls:

47.0ms	tau
41.0ms	x
40.0ms	(*.f32 x (PI.f32))
39.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes174.0ms (1.4%)

Memory

28.7MiB live, 276.1MiB allocated

Counts

153 → 1

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	(.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))))
43.0ms	x
40.0ms	tau
40.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes165.0ms (1.4%)

Memory

-11.1MiB live, 257.8MiB allocated

Counts

146 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

43.0ms	x
39.0ms	tau
39.0ms	(*.f32 x (PI.f32))
37.0ms	(.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
97.1%	1	`x`
97.1%	1	`(*.f32 x (PI.f32))`
97.1%	1	`tau`
97.1%	1	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes469.0ms (3.8%)

Memory

-135.9MiB live, 269.0MiB allocated

Counts

142 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) #s(approx (+ (* (* -1/6 (* x x)) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) x) x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (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(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) 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 #s(approx (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (.f32 (.f32 (PI.f32) (PI.f32)) #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))) #s(approx (/ (sin (* (PI) x)) (* (PI) x)) (fma.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 #s(approx (+ ( tau tau) 1) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) x)) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (sin (* (* x (PI)) tau)) (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 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 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fabs.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (fabs.f32 (PI.f32)) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 #s(literal 1 binary32) (.f32 tau tau) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (.f32 x x) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (neg (sin (* (* (neg x) tau) (PI))))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (.f32 x x) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (.f32 x x) #s(literal -1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) x) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(approx (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 (.f32 tau (PI.f32)) (PI.f32)) x)) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) #s(approx (sin (* tau (* (PI) x))) (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (+.f32 (/.f32 (PI.f32) (.f32 tau tau)) (PI.f32)))) (.f32 tau tau) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/6 binary32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 #s(approx (/ (* (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (* tau (* (PI) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))))
(/.f32 #s(approx (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (.f32 tau (sin.f32 (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) #s(approx (* (/ x (sin (* x (PI)))) (* (* (* x (PI)) tau) (PI))) (.f32 tau (.f32 (PI.f32) x))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) #s(approx (* (/ (* (* (neg x) tau) (PI)) (sin (* tau (* (PI) x)))) (/ (* (PI) x) (sin (* (PI) x)))) (/.f32 (.f32 (neg.f32 x) (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 tau (PI.f32)) x)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) #s(approx (/ (sin ( x (PI))) (* x (PI))) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))
(/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) #s(approx (/ (sin (* x (PI))) (* (* x (PI)) tau)) (/.f32 #s(literal 1 binary32) tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) #s(literal -1/6 binary32))) (.f32 x x) #s(literal 1 binary32)))
(neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32)))
(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) (neg.f32 x)))
(/.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (PI.f32)))
(.f32 #s(approx ( (/ (sin (* (PI) x)) x) (sin (* tau (* (PI) x)))) (.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) #s(approx (* (* tau (* (PI) x)) (PI)) (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) x) (*.f32 tau (PI.f32)))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (*.f32 tau (PI.f32))) x)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 (.f32 (PI.f32) x) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (*.f32 tau (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32)))) #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (.f32 tau (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
#s(approx (/ (* (/ (sin (* tau (* (PI) x))) (* (PI) x)) (sin (* (PI) x))) (* tau (* (PI) x))) (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (PI.f32) x)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (neg.f32 (PI.f32)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (PI.f32))))
(/.f32 (neg.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32))) (.f32 (.f32 (neg.f32 x) tau) (PI.f32)))
(/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x))) (PI.f32))
(/.f32 (/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (.f32 (neg.f32 tau) (PI.f32)) x)) (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (.f32 (-.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau tau #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (PI.f32))))
(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32)) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (PI.f32))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (.f32 tau (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) tau) (PI.f32))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (neg.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32))) (.f32 (neg.f32 tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (PI.f32))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) tau))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) tau)))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau x))) (PI.f32))
(/.f32 (.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) (PI.f32))
(/.f32 (.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (PI.f32))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (PI.f32))
(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) x) (PI.f32)) (PI.f32))
(.f32 (.f32 (/.f32 #s(approx (sin (* (PI) x)) (.f32 (PI.f32) x)) x) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (/.f32 (.f32 (neg.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (PI.f32))))
(.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32))))
(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) x) (/.f32 #s(literal 1 binary32) (PI.f32))) (PI.f32))
(/.f32 (.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (PI.f32))
(/.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) tau))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (*.f32 tau (PI.f32))))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 tau x) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))))) (PI.f32))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 tau (.f32 (PI.f32) x))))))
(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 (PI.f32)) (/.f32 (/.f32 tau #s(approx (/ (sin ( (PI) x)) x) (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal -1 binary32) (.f32 (neg.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))) (PI.f32))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (*.f32 (PI.f32) x)) (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (neg.f32 (/.f32 x #s(approx (/ (sin ( (PI) x)) x) (PI.f32)))) (/.f32 (.f32 tau (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) tau) (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))) (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (.f32 (neg.f32 x) tau) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (.f32 (PI.f32) x) #s(approx (sin (* (PI) x)) (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) (PI.f32)))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau)) x))) (PI.f32))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau))) (PI.f32))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 tau (.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 tau (.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (*.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (PI.f32))
(/.f32 (/.f32 (.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))))) (.f32 tau (*.f32 (PI.f32) x))) (PI.f32))
(.f32 (/.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (.f32 (fma.f32 tau tau #s(literal 1 binary32)) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* (+ (* tau tau) 1) (* (* (PI) (PI)) -1/6)) (* x x)) 1) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/36 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (pow.f32 (.f32 x (PI.f32)) #s(literal 2 binary32)))))))
(.f32 (/.f32 #s(approx (/ (sin ( (PI) x)) x) (PI.f32)) tau) (pow.f32 (.f32 (PI.f32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (/.f32 tau #s(approx (/ (sin (* (PI) x)) x) (PI.f32)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (PI.f32)) (sin.f32 (.f32 tau (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (PI.f32) x)) (PI.f32))))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 tau (PI.f32))) x)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (PI.f32)) tau)))
(.f32 (.f32 #s(approx (/ (sin (* (PI) x)) x) (.f32 (PI.f32) (log.f32 (E.f32)))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (neg.f32 tau) (PI.f32)) x) (neg.f32 (PI.f32)))))

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

Calls

4 calls:

226.0ms	(.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))))
108.0ms	tau
43.0ms	(*.f32 x (PI.f32))
39.0ms	x

Results

Accuracy	Segments	Branch
75.0%	1	`x`
75.0%	1	`tau`
75.0%	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))))`
75.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes103.0ms (0.8%)

Memory

12.9MiB live, 135.9MiB allocated

Counts

85 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	x
26.0ms	tau
25.0ms	(.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
75.0%	1	`tau`
75.0%	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))))`
75.0%	1	`x`
75.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes79.0ms (0.7%)

Memory

-12.7MiB live, 66.5MiB allocated

Counts

43 → 1

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	tau
16.0ms	x
11.0ms	(*.f32 x (PI.f32))
11.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
68.6%	1	`tau`
68.6%	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))))`
68.6%	1	`x`
68.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes92.0ms (0.8%)

Memory

6.5MiB live, 44.4MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
10.0ms	(*.f32 x (PI.f32))
10.0ms	x
10.0ms	tau

Results

Accuracy	Segments	Branch
68.6%	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))))`
68.6%	1	`tau`
68.6%	1	`x`
68.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes40.0ms (0.3%)

Memory

6.6MiB live, 44.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.6%	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))))`
68.6%	1	`tau`
68.6%	1	`x`
68.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes45.0ms (0.4%)

Memory

17.4MiB live, 55.7MiB allocated

Accuracy

Total -20.6b remaining (-201.1%)

Threshold costs -20.6b (-201.1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x
9.0ms	(*.f32 x (PI.f32))
9.0ms	tau
8.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

Accuracy	Segments	Branch
67.9%	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))))`
67.9%	1	`x`
67.9%	1	`tau`
67.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify33.0ms (0.3%)

Memory

-6.5MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary32-.f32`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`+-commutative-binary32-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	307
1	103	307

Stop Event

1×

saturated

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

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

soundness2.0s (16.1%)

Memory

39.1MiB live, 1 082.9MiB allocated

Rules

18 032×	`lower-fma.f64`
18 032×	`lower-fma.f32`
17 938×	`lower-fma.f64`
17 938×	`lower-fma.f32`
16 966×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	7080
1	1364	6772
2	5200	6458
3	7561	6458
0	8360	6203
0	55	321
0	84	306
1	325	293
2	2075	293
0	8455	286
0	196	1582
1	620	1562
2	2407	1538
3	4137	1538
4	4871	1538
5	5550	1538
6	5940	1538
7	5971	1538
8	5971	1538
0	8816	1486
0	10	55
0	18	55
1	63	55
2	483	53
3	6485	53
0	8114	53
0	485	7793
1	1719	7534
2	7079	7534
0	8074	7275
0	53	311
0	94	302
1	315	302
2	2054	284
0	8517	282
0	577	8500
1	2050	8163
2	5065	8032
0	8435	7782
0	42	254
0	74	249
1	258	249
2	1444	237
3	6822	237
0	8104	237

Stop Event

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

Compiler

Compiled 593 to 267 computations (55% saved)

preprocess86.0ms (0.7%)

Memory

-22.9MiB live, 177.4MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 1 216 to 504 computations (58.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze22.0ms (0.2%)

sample1.9s (15.5%)

explain146.0ms (1.2%)

preprocess79.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize36.0ms (0.3%)

series61.0ms (0.5%)

simplify235.0ms (1.9%)

rewrite139.0ms (1.1%)

eval106.0ms (0.9%)

prune173.0ms (1.4%)

simplify101.0ms (0.8%)

localize102.0ms (0.8%)

series62.0ms (0.5%)

simplify214.0ms (1.8%)

rewrite202.0ms (1.7%)

eval222.0ms (1.8%)

prune256.0ms (2.1%)

simplify95.0ms (0.8%)

localize137.0ms (1.1%)

series78.0ms (0.6%)

simplify253.0ms (2.1%)

rewrite302.0ms (2.5%)

eval1.2s (10.1%)

prune553.0ms (4.5%)

simplify185.0ms (1.5%)

localize123.0ms (1%)

series56.0ms (0.5%)

simplify217.0ms (1.8%)

rewrite222.0ms (1.8%)

eval273.0ms (2.2%)

prune511.0ms (4.2%)

regimes274.0ms (2.2%)

regimes184.0ms (1.5%)

regimes175.0ms (1.4%)

regimes174.0ms (1.4%)

regimes165.0ms (1.4%)

regimes469.0ms (3.8%)

regimes103.0ms (0.8%)

regimes79.0ms (0.7%)

regimes92.0ms (0.8%)

regimes40.0ms (0.3%)

regimes45.0ms (0.4%)

simplify33.0ms (0.3%)

soundness2.0s (16.1%)

preprocess86.0ms (0.7%)

end0.0ms (0%)

Profiling