Metrics for Lanczos kernel

analyze32.0ms (0.2%)

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 38 to 20 computations (47.4% saved)

Precisions

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

ival-sin: 4.0ms (22.6% of total)

ival-div: 3.0ms (16.9% of total)

ival-mult: 3.0ms (16.9% of total)

...c/correct-round.rkt:119:19: 3.0ms (16.9% of total)

ival-<=: 2.0ms (11.3% of total)

ival-pi: 1.0ms (5.6% of total)

ival-and: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.9s (13.1%)

Results

1.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 357.0ms (29.5% of total)

ival-mult: 213.0ms (17.6% of total)

ival-<=: 195.0ms (16.1% of total)

ival-div: 184.0ms (15.2% of total)

...c/correct-round.rkt:119:19: 172.0ms (14.2% of total)

ival-pi: 45.0ms (3.7% of total)

ival-and: 35.0ms (2.9% of total)

const: 8.0ms (0.7% of total)

backward-pass: 3.0ms (0.2% of total)

Bogosity

preprocess84.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

892×	`fma-define`
838×	`associate-l`
792×	`fnmadd-define`
760×	`distribute-lft-neg-in`
756×	`distribute-frac-neg2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	106	136
2	488	128
3	2592	110
4	5352	110
0	10	21
1	23	21
2	80	21
3	284	18
4	677	18
5	1036	18
6	1072	18
7	1072	18
0	1072	18

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

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

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

Call 2

Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))

Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI)))))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI)))))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (/ (sin (* x (* (PI) tau))) x) (/ (sin (* (PI) tau)) (square (* (PI) tau))))

Symmetry

(abs x)

(abs tau)

explain242.0ms (1.7%)

FPErrors

Click to see full error table

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

Results

120.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-sin: 15.0ms (34.7% of total)

ival-mult: 12.0ms (27.8% of total)

ival-div: 10.0ms (23.1% of total)

ival-pi: 6.0ms (13.9% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
▶	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))))

Status

Accuracy

Program

▶

97.0%

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

▶

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 46 to 23 computations (50% saved)

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
✓	cost-diff	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	cost-diff	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	(.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

578×	`-lowering-.f32`
578×	`-lowering-.f64`
564×	`times-frac`
540×	`/-lowering-/.f32`
540×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	135
1	49	134
2	160	130
3	496	128
4	977	128
5	1123	128
6	1124	128
0	1124	128

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize373.0ms (2.6%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))
✓	accuracy	98.7%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	accuracy	99.2%	(*.f32 x (PI.f32))
✓	accuracy	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Results

335.0ms

256×

valid

Compiler

Compiled 141 to 19 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 28.0ms (58.1% of total)

ival-sin: 11.0ms (22.8% of total)

ival-div: 7.0ms (14.5% of total)

ival-pi: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series36.0ms (0.2%)

Counts

12 → 240

Calls

Call 1

Inputs
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))>
#<alt (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (/ (sin (* x (PI))) (* x x))>
#<alt (* (PI) tau)>

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<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))))))))>
#<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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (pow (PI) 2))>
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))>
#<alt (+ (* 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))))))))))>
#<alt (+ (* 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)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<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))))))))>
#<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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (/ (PI) x)>
#<alt (/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x)>
#<alt (/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x)>
#<alt (/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))) x)>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))
4.0ms	tau	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite351.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5606×	`-lowering-.f32`
5606×	`-lowering-.f64`
3046×	`/-lowering-/.f32`
3046×	`/-lowering-/.f64`
1034×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	111
1	101	111
2	803	105
3	6745	105
0	8060	105

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 950

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))) (/.f32 tau (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (.f32 x (.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32)))))) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) tau))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (.f32 x (.f32 x (PI.f32))))) (*.f32 (PI.f32) tau)))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 (.f32 x (PI.f32)) (.f32 (neg.f32 tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (/.f32 (.f32 x (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 tau (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))) (neg.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x x) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (neg.f32 x)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x x))) #s(literal -1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (.f32 #s(literal 1 binary32) (neg.f32 x)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 x))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 x)))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(.f32 (.f32 (PI.f32) tau) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))

simplify303.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5302×	`-lowering-.f32`
5302×	`-lowering-.f64`
4992×	`+-lowering-+.f64`
4992×	`+-lowering-+.f32`
1182×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3298
1	980	3012
2	4245	2948
0	8086	2948

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval131.0ms (0.9%)

Compiler: Compiled 36139 to 2680 computations (92.6% saved)

prune231.0ms (1.6%)

Pruning

37 alts after pruning (37 fresh and 0 done)

	Pruned	Kept	Total
New	1460	37	1497
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1462	37	1499

Accuracy

99.8%

Counts

1499 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)))
	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (.f32 x (neg.f32 (PI.f32))))
▶	97.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	67.1%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) x)
▶	97.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32))))) tau)
	96.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau)) (.f32 (PI.f32) (PI.f32)))
	67.1%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 2 binary32))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	95.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	72.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	94.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	64.7%	(/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	65.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	80.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	97.6%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.6%	(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	80.8%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
	81.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))))
▶	64.8%	#s(literal 1 binary32)

Compiler

Compiled 1878 to 1058 computations (43.7% saved)

simplify273.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32))))
✓	cost-diff	0	(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))
✓	cost-diff	0	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32)))
✓	cost-diff	0	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32))))) tau)
✓	cost-diff	0	(.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x))))))))
✓	cost-diff	0	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	64	(+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (*.f32 x x)))))))
✓	cost-diff	64	(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Rules

4646×	`-lowering-.f32`
4646×	`-lowering-.f64`
2702×	`+-lowering-+.f64`
2702×	`+-lowering-+.f32`
2158×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	434
1	144	426
2	546	411
3	2679	398
4	3423	393
5	4805	393
6	7643	393
0	8127	393

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize319.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
✓	accuracy	68.2%	(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 x (PI.f32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x))))))
✓	accuracy	98.7%	(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Results

244.0ms

256×

valid

Compiler

Compiled 484 to 45 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 34.0ms (41.5% of total)

ival-div: 17.0ms (20.7% of total)

ival-sin: 10.0ms (12.2% of total)

ival-cos: 8.0ms (9.8% of total)

...c/correct-round.rkt:119:19: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.9% of total)

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

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

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series92.0ms (0.6%)

Counts

22 → 444

Calls

Call 1

Inputs
#<alt (/ (/ (sin (* x (PI))) (* x (* (PI) tau))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))>
#<alt (/ (sin (* x (PI))) (* x (* (PI) tau)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (/ (* tau (+ (* x (PI)) (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x)))))))) (* (* x (PI)) tau))>
#<alt (+ (* x (PI)) (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x)))))))>
#<alt (* (/ (* tau (+ (* x (PI)) (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x)))))))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x))))))))>
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* x (PI))))) tau)>
#<alt (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* x (PI)))))>
#<alt (/ (sin (* x (* (PI) tau))) (PI))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* (* x (PI)) (+ tau 1)))) (* (* x x) 2)) (* (PI) (* (PI) tau)))>
#<alt (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* (* x (PI)) (+ tau 1)))) (* (* x x) 2))>
#<alt (- (cos (* (* x (PI)) (- tau 1))) (cos (* (* x (PI)) (+ tau 1))))>
#<alt (cos (* (* x (PI)) (- tau 1)))>
#<alt (* (PI) tau)>
#<alt (/ (* x (PI)) (sin (* x (* (PI) tau))))>
#<alt (* (PI) (PI))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x))))))>
#<alt (/ (sin (* x (PI))) (* x (* x (PI))))>

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 tau)>
#<alt (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))>
#<alt (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))>
#<alt (+ (* (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))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* 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))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
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#<alt (* x (PI))>
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#<alt (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (* (pow tau 2) (pow (PI) 3))))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* 1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (* x (PI))>
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#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
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#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
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#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
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#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt 1>
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#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* x (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow x 2) (PI)))))>
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#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
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#<alt (* -1/6 (* (pow tau 3) (* (pow x 3) (pow (PI) 3))))>
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#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (* tau (* x (PI)))>
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#<alt 1>
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#<alt (+ 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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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
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#<alt tau>
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#<alt (* tau x)>
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#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau)>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (+ (* 1/2 (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* 1/2 (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))))>
#<alt (+ (* 1/2 (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/2 (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4))))))))>
#<alt (+ (* 1/2 (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2))))) (* (pow x 2) (+ (* 1/2 (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4))))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* 1/2 (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6))))))))))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (pow x 2)))>
#<alt (+ (* 1/2 (* tau (- (/ (* (PI) (sin (* x (PI)))) x) (/ (* (PI) (sin (* -1 (* x (PI))))) x)))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (pow x 2))))>
#<alt (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (pow x 2))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (* (pow (PI) 2) (cos (* -1 (* x (PI)))))) (* -1/2 (* (pow (PI) 2) (cos (* x (PI)))))))) (* 1/2 (- (/ (* (PI) (sin (* x (PI)))) x) (/ (* (PI) (sin (* -1 (* x (PI))))) x))))))>
#<alt (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (pow x 2))) (* tau (+ (* 1/2 (- (/ (* (PI) (sin (* x (PI)))) x) (/ (* (PI) (sin (* -1 (* x (PI))))) x))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* x (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (* (pow (PI) 2) (cos (* -1 (* x (PI)))))) (* -1/2 (* (pow (PI) 2) (cos (* x (PI))))))))))))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (pow x 2)))>
#<alt (* 1/2 (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (pow x 2)))>
#<alt (* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/24 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (/ 1 tau)>
#<alt (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))>
#<alt (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ 1 tau)>
#<alt (/ (+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)>
#<alt (/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (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))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)>
#<alt (/ (+ 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)>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>

Calls

111 calls:

Time	Variable		Point	Expression
23.0ms	tau	@	0	(/ (* tau (+ (* x (PI)) (* -1/6 (* (* (PI) (* (PI) (PI))) (* tau (* tau (* x (* x x)))))))) (* (* x (PI)) tau))
18.0ms	x	@	0	(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* x (PI)))))
3.0ms	tau	@	inf	(/ (* x (PI)) (sin (* x (* (PI) tau))))
3.0ms	tau	@	inf	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* (* x (PI)) (+ tau 1)))) (* (* x x) 2)) (* (PI) (* (PI) tau)))
2.0ms	x	@	0	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* (* x (PI)) (+ tau 1)))) (* (* x x) 2)) (* (PI) (* (PI) tau)))

rewrite358.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4526×	`/-lowering-/.f32`
4526×	`/-lowering-/.f64`
4336×	`-lowering-.f32`
4336×	`-lowering-.f64`
1380×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	300
1	246	293
2	1964	256
0	8386	256

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1039

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))) x)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) x)) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (PI.f32) tau))) #s(literal -1 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (pow.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau))) #s(literal -1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (/.f32 #s(literal -1 binary32) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (pow.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau))))
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(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau)))))
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(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) tau)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (neg.f32 tau))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau) (PI.f32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) tau)) (neg.f32 (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))))
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(exp.f32 (.f32 (.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (PI.f32)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (PI.f32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau))) #s(literal -1/6 binary32)))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau))))
(.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32)))
(.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau))) #s(literal -1/6 binary32))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)))
(.f32 (.f32 (PI.f32) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x (.f32 (.f32 x x) tau)) #s(literal -1/6 binary32)))
(.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau))))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x tau) (.f32 (.f32 x x) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x (.f32 (.f32 x x) tau)))
(.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau) (.f32 x (.f32 (.f32 x x) tau)))
(.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (.f32 x x) tau))) tau)
(.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 tau tau)) (.f32 x (.f32 x x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))) #s(literal 1 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 x (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) x)
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) x)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 x (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (PI.f32))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) x) (PI.f32))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) x)) (neg.f32 (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (.f32 x (.f32 x (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) x) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) x) (/.f32 #s(literal 1 binary32) (PI.f32)))

simplify376.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5850×	`-lowering-.f32`
5850×	`-lowering-.f64`
4226×	`+-lowering-+.f64`
4226×	`+-lowering-+.f32`
1316×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	693	8494
1	2508	7519
2	6248	7238
0	8383	7238

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
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(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
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(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(+ (* (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))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 x (.f32 x x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))
(+ (* (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))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x x))) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
tau
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))
(+.f32 tau (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (*.f32 tau tau)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))
(+.f32 tau (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau tau))))))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6)))))))))))))))
(+.f32 tau (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (.f32 x x) (+.f32 (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau tau)))))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau (.f32 tau tau))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* tau (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 tau (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))))
(.f32 tau (+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(* tau (+ (* (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)))))
(.f32 tau (+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (.f32 x (.f32 x x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(* tau (+ (* (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)))))
(.f32 tau (+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x x))) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(* tau x)
(*.f32 x tau)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
(.f32 x (+.f32 tau (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))))
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
(.f32 x (+.f32 tau (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(* x (+ 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)))))))))
(.f32 x (+.f32 tau (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(* tau x)
(*.f32 x tau)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 tau (+.f32 x (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x (.f32 x x))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))
(.f32 tau (+.f32 x (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.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 5 binary32))))))))
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))
(.f32 tau (+.f32 x (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 7 binary32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/ (sin (* tau (* x (PI)))) (PI))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 x (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 tau #s(literal 5 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)))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 tau #s(literal 7 binary32)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
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(+.f32 (cos.f32 (.f32 x (PI.f32))) (.f32 tau (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 tau (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (cos.f32 (.f32 x (PI.f32)))))) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+.f32 (cos.f32 (.f32 x (PI.f32))) (.f32 tau (+.f32 (.f32 tau (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (cos.f32 (.f32 x (PI.f32))))) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau (.f32 x (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (sin.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))))))) (.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 tau (.f32 tau tau))) #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (-.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 tau (.f32 tau tau))) #s(literal 7/360 binary32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 tau (.f32 tau tau))) #s(literal -7/360 binary32)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 5 binary32))) #s(literal 1/840 binary32)))))) (.f32 #s(literal 1/6 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(/ (+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))) tau)
(/ (+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) tau)
(/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (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))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 tau tau) (-.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32)) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -7/360 binary32)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/840 binary32)))))) (.f32 (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) tau)
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 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)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32))))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))) x)
(/ (+ 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)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))) x)
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))
(/ (sin (* x (PI))) (* (pow x 2) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 x x) (PI.f32)))

eval202.0ms (1.4%)

Compiler: Compiled 58399 to 4446 computations (92.4% saved)

prune272.0ms (1.9%)

Pruning

56 alts after pruning (54 fresh and 2 done)

	Pruned	Kept	Total
New	1848	34	1882
Fresh	12	20	32
Picked	3	2	5
Done	0	0	0
Total	1863	56	1919

Accuracy

99.9%

Counts

1919 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x x)) (PI.f32)) tau) (PI.f32))
	67.1%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) x) (.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) tau) (.f32 x (*.f32 x (PI.f32))))
	80.6%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) x)
	51.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	63.6%	(/.f32 (/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x x)) (.f32 x #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) x))) (.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	66.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	33.2%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (.f32 (PI.f32) (.f32 x (*.f32 x (PI.f32)))))
	86.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (.f32 x (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) tau)
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)))
▶	97.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))
	80.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (.f32 x (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau (PI.f32))))))
	72.0%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	64.7%	(/.f32 (-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
	86.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal -1/6 binary32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	80.4%	(/.f32 (+.f32 tau (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (*.f32 tau tau))))))) tau)
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) x)) tau)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (*.f32 x (PI.f32))))) tau)
▶	72.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) x)
	72.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) tau)
▶	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))) tau)
	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
	67.1%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	72.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	94.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	65.6%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 tau (*.f32 x (PI.f32)))) tau)
	64.7%	(/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	65.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.2%	(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)))) (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	80.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
	80.4%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (PI.f32))))
	80.6%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))
	71.1%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	72.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
	81.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))))
	96.1%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) (.f32 x (*.f32 x #s(literal 2 binary32)))))))
✓	64.8%	#s(literal 1 binary32)
▶	6.3%	#s(literal 0 binary32)

Compiler

Compiled 2988 to 1734 computations (42% saved)

simplify436.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x)))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))) tau)
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))
✓	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 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
✓	cost-diff	192	(/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 x (PI.f32))))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))

Rules

7406×	`-lowering-.f32`
7406×	`-lowering-.f64`
3328×	`/-lowering-/.f32`
3328×	`/-lowering-/.f64`
2926×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	329
1	87	316
2	346	283
3	1551	275
4	2971	275
5	3067	275
6	3086	275
7	3121	275
8	3174	275
9	3264	275
10	4532	275
11	5215	275
12	5775	275
13	6343	275
14	6930	275
15	7267	275
16	7370	275
17	7398	275
18	7402	275
19	7402	275
20	7739	275
0	8301	275

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau))))) (* x (* (PI) tau)))
(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(/ (* x (PI)) (sin (* x (* (PI) tau))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
tau
0
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI))))) tau)
(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI)))))
(/ (sin (* x (* (PI) tau))) (PI))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(/ (* x (PI)) (* x (* x (PI))))
(* x (PI))
(* x (* x (PI)))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) x) (PI)))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(/ (/ (sin (* x (PI))) x) (PI))
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))) tau)
(* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x)))
(/ (sin (* x (* (PI) tau))) (PI))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(/ 1 x)
1

Outputs
(/ (/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau))))) (* x (* (PI) tau)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(/ (* x (PI)) (sin (* x (* (PI) tau))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(* x (* (PI) tau))
(.f32 (PI.f32) (.f32 x tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
0
#s(literal 0 binary32)
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI))))) tau)
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
(/ (sin (* x (* (PI) tau))) (PI))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(sin (* x (* (PI) tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(* x (* (PI) tau))
(.f32 (PI.f32) (.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(/ (* x (PI)) (* x (* x (PI))))
(/.f32 #s(literal 1 binary32) x)
(* x (PI))
(*.f32 x (PI.f32))
(* x (* x (PI)))
(.f32 x (.f32 x (PI.f32)))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) x) (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(* (* x (PI)) tau)
(.f32 (PI.f32) (.f32 x tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (/ (sin (* x (PI))) x) (PI))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))) tau)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/ (sin (* x (* (PI) tau))) (PI))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(sin (* x (* (PI) tau)))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(* x (* (PI) tau))
(.f32 (PI.f32) (.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize261.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	99.0%	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
✓	accuracy	98.8%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	99.0%	(/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 x (PI.f32))))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32)))))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	accuracy	99.0%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	99.0%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))

Results

192.0ms

256×

valid

Compiler

Compiled 322 to 30 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-sin: 51.0ms (54% of total)

ival-div: 27.0ms (28.6% of total)

ival-mult: 14.0ms (14.8% of total)

ival-pi: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

backward-pass: 0.0ms (0% of total)

series16.0ms (0.1%)

Counts

21 → 408

Calls

Call 1

Inputs
#<alt (/ (/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau))))) (* x (* (PI) tau)))>
#<alt (/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (/ (* x (PI)) (* x (* x (PI))))>
#<alt (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI)))))>
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI))))) tau)>
#<alt (/ (sin (* x (* (PI) tau))) (PI))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) x) (PI)))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))>
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))) tau)>
#<alt (* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x)))>
#<alt (* (PI) tau)>
#<alt (/ (* x (PI)) (sin (* x (* (PI) tau))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (/ (/ (sin (* x (PI))) x) (PI))>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) (* x (PI)))>

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (sin (* x (PI))))>
#<alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))>
#<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)))))))))))>
#<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))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* 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))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt tau>
#<alt (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt tau>
#<alt (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))>
#<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))))))))>
#<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)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau x)>
#<alt (* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))>
#<alt (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))>
#<alt (* x (+ 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)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (* tau x)>
#<alt (* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))>
#<alt (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))>
#<alt (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<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))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<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))))))))>
#<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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) x)>
#<alt (/ (+ 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)>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt (/ (sin (* x (PI))) (* (pow x 2) (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt tau>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* tau (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))))>
#<alt (* tau (+ (* (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)))))>
#<alt (* tau (+ (* (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)))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (/ 1 tau)>
#<alt (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))>
#<alt (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ 1 tau)>
#<alt (/ (+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)>
#<alt (/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (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))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (/ (* x (PI)) (sin (* tau (* x (PI)))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<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))))))))>
#<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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (PI)>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))>
#<alt (+ (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)))))))>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>

Calls

102 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
1.0ms	x	@	0	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
1.0ms	x	@	inf	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
0.0ms	x	@	-inf	(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI)))))
0.0ms	tau	@	0	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))

rewrite321.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3740×	`/-lowering-/.f32`
3740×	`/-lowering-/.f64`
3620×	`-lowering-.f32`
3620×	`-lowering-.f64`
1396×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	241
1	192	220
2	1904	197
3	7979	197
0	8309	197

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1415

Calls

Call 1

Inputs
(/ (/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau))))) (* x (* (PI) tau)))
(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
(sin (* x (PI)))
(* x (PI))
(/ (* x (PI)) (* x (* x (PI))))
(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI)))))
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (* x (PI)) (* x (* x (PI))))) tau)
(/ (sin (* x (* (PI) tau))) (PI))
(* (/ (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))) (/ 1 x))
(/ (* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x))) tau)
(* (/ (sin (* x (* (PI) tau))) (PI)) (* (/ (sin (* x (PI))) (* x (PI))) (/ 1 x)))
(* (PI) tau)
(/ (* x (PI)) (sin (* x (* (PI) tau))))
(sin (* x (* (PI) tau)))
(/ (/ (sin (* x (PI))) x) (PI))
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) (* x (PI)))

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

simplify357.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

6594×	`-lowering-.f32`
6594×	`-lowering-.f64`
2168×	`+-lowering-+.f64`
2168×	`+-lowering-+.f32`
1716×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	435	6165
1	1589	5577
2	7055	5577
0	8021	5577

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))
(+ 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))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) (+.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 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))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (+.f32 (+.f32 (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 (.f32 tau tau) #s(literal -1/720 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/720 binary32))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))))
(+ (* (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))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau tau) (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x 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))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal 1/120 binary32) (.f32 x (.f32 x x)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) tau)))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 tau (*.f32 tau tau)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau tau))))) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))))) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau (.f32 tau tau))) (.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32))))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(* tau (sin (* x (PI))))
(.f32 tau (sin.f32 (.f32 x (PI.f32))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
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(* 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)))))))))))
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(* 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))))))))))))
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(*.f32 x (PI.f32))
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
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(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
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(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
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(/.f32 #s(literal 1 binary32) x)
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tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
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(+ 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))))))))
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tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
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(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
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(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
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(+ 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)
(*.f32 x tau)
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))
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(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))
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(* x (+ 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)))))))))
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(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(* tau x)
(*.f32 x tau)
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))
(.f32 tau (+.f32 x (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x x)))))
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(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (*.f32 tau #s(literal 1/6 binary32))))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 7/360 binary32))) (.f32 (.f32 tau #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32))))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (+.f32 (.f32 (.f32 x x) (+.f32 (.f32 (+.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 tau tau) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -7/360 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 tau #s(literal 5 binary32))) #s(literal 1/840 binary32))) (.f32 (.f32 x x) #s(literal -1 binary32))) (.f32 (.f32 (.f32 tau tau) (.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) #s(literal 7/360 binary32)))) (.f32 (.f32 tau #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(/ (+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) #s(literal 1/6 binary32)))) tau)
(/ (+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32))) (.f32 (.f32 (.f32 x x) #s(literal 1/6 binary32)) (.f32 (PI.f32) (PI.f32)))))) tau)
(/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (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))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (+.f32 (.f32 tau (.f32 tau (+.f32 (.f32 (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/360 binary32)))) (.f32 (.f32 x x) #s(literal 1/6 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/840 binary32))) (.f32 (.f32 tau tau) #s(literal -1 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32))))) (.f32 (.f32 (.f32 x x) #s(literal 1/6 binary32)) (.f32 (PI.f32) (PI.f32)))))) tau)
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 tau (*.f32 x (PI.f32)))))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 tau tau))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 tau tau))) (.f32 (pow.f32 tau #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 x x) #s(literal 1/120 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)))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 tau tau))) (.f32 (.f32 x x) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 tau (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 tau (.f32 tau (+.f32 (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau (.f32 tau (+.f32 (.f32 (.f32 (.f32 (.f32 tau tau) #s(literal -1/5040 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 x #s(literal 7 binary32))) (.f32 (pow.f32 x #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 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)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))))))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+.f32 (PI.f32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 x x) #s(literal 1/120 binary32))))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))
(+.f32 (PI.f32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 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)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))))))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

eval331.0ms (2.3%)

Compiler: Compiled 56135 to 3989 computations (92.9% saved)

prune733.0ms (5%)

Pruning

87 alts after pruning (83 fresh and 4 done)

	Pruned	Kept	Total
New	2342	46	2388
Fresh	12	37	49
Picked	3	2	5
Done	0	2	2
Total	2357	87	2444

Accuracy

99.9%

Counts

2444 → 87

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x x)) (PI.f32)) tau) (PI.f32))
	67.1%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) x) (.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	72.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) x) tau)
	72.2%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (PI.f32)) tau)
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) tau) (.f32 x (*.f32 x (PI.f32))))
	80.6%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) x)
	51.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	63.6%	(/.f32 (/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x x)) (.f32 x #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) x))) (.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	66.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	33.2%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x (PI.f32)))) tau)
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	97.2%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (.f32 (PI.f32) (.f32 x (*.f32 x (PI.f32)))))
	86.5%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	86.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	71.9%	(/.f32 (/.f32 (.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 x (PI.f32)))) tau)
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)))
	72.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (*.f32 (PI.f32) tau))
	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (PI.f32)))
	80.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (.f32 x (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau (PI.f32))))))
▶	72.1%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
	72.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32))))) tau)
	64.7%	(/.f32 (-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
	86.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal -1/6 binary32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	80.4%	(/.f32 (+.f32 tau (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (*.f32 tau tau))))))) tau)
	72.1%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 x (PI.f32))) (PI.f32)) tau)
	71.9%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 x x)) x) tau)
	70.8%	(/.f32 (.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 tau tau)))))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	72.0%	(/.f32 (.f32 (/.f32 (.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) tau)
	70.8%	(/.f32 (.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	64.6%	(/.f32 (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	71.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (/.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32))))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 x (PI.f32))))) tau)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x)) tau)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (*.f32 x (PI.f32))))) tau)
	71.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))))) tau)
	71.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x)))) tau)
▶	97.4%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) x)
	71.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))) tau)
	86.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))) tau)
✓	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))) tau)
	71.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (PI.f32) (*.f32 x x)) (/.f32 x (PI.f32)))) tau)
	86.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))) tau)
▶	97.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
	71.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	72.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau)
	67.1%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	71.0%	(/.f32 (.f32 (.f32 x (.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	64.7%	(/.f32 (.f32 (.f32 x tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 x (PI.f32))))) tau)
	70.9%	(/.f32 (.f32 (.f32 tau (+.f32 x (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x x))))) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	96.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	94.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	79.9%	(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
	71.2%	(/.f32 (.f32 tau (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau)
	64.7%	(/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
▶	64.7%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
	97.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
	72.2%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
	65.6%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	72.2%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	72.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau)))
	80.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
	71.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	97.4%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	71.9%	(.f32 (/.f32 (.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 x (PI.f32)))))
	80.4%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (PI.f32))))
	80.6%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))
	71.1%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.0%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) x) (PI.f32)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (PI.f32)) x) (PI.f32)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x)) x) (PI.f32)))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	72.0%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
▶	81.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.6%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.1%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) (.f32 x (*.f32 x #s(literal 2 binary32)))))))
✓	64.8%	#s(literal 1 binary32)
✓	6.3%	#s(literal 0 binary32)

Compiler

Compiled 4380 to 2554 computations (41.7% saved)

simplify509.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))) x)
✓	cost-diff	0	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau)))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(.f32 tau (.f32 x (PI.f32)))
✓	cost-diff	320	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))

Rules

6744×	`-lowering-.f32`
6744×	`-lowering-.f64`
5052×	`/-lowering-/.f32`
5052×	`/-lowering-/.f64`
2536×	`cube-div`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	313
1	92	291
2	386	288
3	1342	284
4	2891	284
5	2938	284
6	2991	284
7	2993	284
8	2993	284
9	4241	284
10	4386	284
11	4528	284
12	5404	284
13	6496	284
14	6871	284
15	6968	284
16	6968	284
17	7964	284
0	8191	284

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize283.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32))
✓	accuracy	98.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (.f32 x x))
✓	accuracy	98.8%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
✓	accuracy	98.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.2%	(*.f32 x (PI.f32))
✓	accuracy	99.1%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
✓	accuracy	99.0%	(sin.f32 (.f32 tau (.f32 x (PI.f32))))
✓	accuracy	99.0%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓	accuracy	99.4%	(.f32 tau (.f32 x (PI.f32)))
✓	accuracy	99.2%	(.f32 x (.f32 (PI.f32) tau))
✓	accuracy	99.2%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(*.f32 (PI.f32) tau)

Results

192.0ms

256×

valid

Compiler

Compiled 321 to 31 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pi: 55.0ms (50.3% of total)

ival-mult: 21.0ms (19.2% of total)

ival-div: 13.0ms (11.9% of total)

ival-sin: 12.0ms (11% of total)

...c/correct-round.rkt:119:19: 7.0ms (6.4% of total)

ival-add: 1.0ms (0.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts

24 → 456

Calls

Call 1

Inputs
#<alt (/ (* (/ (sin (* x (PI))) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) (* x (PI)))>
#<alt (* (/ (sin (* x (PI))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))>
#<alt (/ (sin (* x (PI))) (* x (* (PI) tau)))>
#<alt (sin (* x (PI)))>
#<alt (/ (* tau (* x (PI))) (* x (* (PI) tau)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (PI))>
#<alt (PI)>
#<alt (/ (/ (sin (* tau (* x (PI)))) (* x (PI))) tau)>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* (+ 1 (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ 1 (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau)))>
#<alt (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau))>
#<alt (* (* -1/6 (* x x)) (* (PI) (PI)))>
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* (PI) tau)))) x)>
#<alt (* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* (PI) tau))))>
#<alt (/ (sin (* x (* (PI) tau))) (PI))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (PI) tau)>
#<alt (* x (* (PI) tau))>
#<alt (* (PI) (PI))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* -1/6 (* x x))>

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 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))))))))))>
#<alt (+ 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))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<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))))>
#<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))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (sin (* x (PI)))>
#<alt (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))>
#<alt (+ (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))))))))))>
#<alt (+ (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)))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ 1 tau)>
#<alt (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))>
#<alt (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))>
#<alt (+ (* (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))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))>
#<alt (* tau x)>
#<alt (* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))))>
#<alt (* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))))>
#<alt (* x (+ 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)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (* tau x)>
#<alt (* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2))))))>
#<alt (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4))))))))>
#<alt (* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (/ (sin (* tau (* x (PI)))) (PI))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* 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))))))))>
#<alt (* 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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<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))))))))>
#<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)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 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)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>

Calls

114 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (+ 1 (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms	x	@	inf	(* (+ 1 (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms	tau	@	inf	(* (+ 1 (* (* (* -1/6 (* x x)) (* (PI) (PI))) (* tau tau))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms	tau	@	-inf	(* (/ (sin (* x (* (PI) tau))) (PI)) (/ (sin (* x (PI))) (* x (* (PI) tau))))
1.0ms	x	@	-inf	(* (/ (sin (* x (PI))) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))

rewrite501.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3882×	`/-lowering-/.f32`
3882×	`/-lowering-/.f64`
3844×	`-lowering-.f32`
3844×	`-lowering-.f64`
992×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	226
1	170	214
2	1311	206
3	7164	203
0	8066	203

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1266

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 x))) (PI.f32)))
(neg.f32 (/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (neg.f32 x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (/.f32 (PI.f32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (/.f32 (.f32 x (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (neg.f32 (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau)))) (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (neg.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) tau)))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) #s(literal 1 binary32))
(.f32 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal -1 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)))
(neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (PI.f32)) (/.f32 x tau))
(/.f32 (.f32 x (.f32 (PI.f32) tau)) x)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(.f32 x (/.f32 (.f32 (PI.f32) tau) x))
(*.f32 (PI.f32) tau)
(.f32 (.f32 x (PI.f32)) (/.f32 tau x))
(*.f32 tau (PI.f32))
(.f32 tau (/.f32 (.f32 x (PI.f32)) x))
(.f32 (.f32 (PI.f32) tau) #s(literal 1 binary32))
(.f32 (.f32 x (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal -1 binary32) x))
(.f32 (/.f32 tau x) (.f32 x (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (.f32 x (*.f32 (PI.f32) tau)))
(.f32 (.f32 x tau) (/.f32 (PI.f32) x))
(.f32 (/.f32 (PI.f32) x) (.f32 x tau))
(.f32 (/.f32 (.f32 (PI.f32) tau) x) x)
(.f32 (/.f32 (.f32 x (PI.f32)) x) tau)
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(neg.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (.f32 x (.f32 (PI.f32) tau)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (.f32 (PI.f32) tau))) #s(literal -1 binary32))
(.f32 x (.f32 (PI.f32) tau))
(.f32 (PI.f32) (.f32 x tau))
(.f32 (.f32 x (PI.f32)) tau)
(.f32 tau (.f32 x (PI.f32)))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 (PI.f32) tau)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 x tau)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 x tau)))
(.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau)))
(.f32 (.f32 x (neg.f32 (PI.f32))) (neg.f32 tau))
(.f32 (neg.f32 tau) (.f32 x (neg.f32 (PI.f32))))
(.f32 (.f32 x tau) (PI.f32))
(.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau)) (neg.f32 x))
(.f32 (-.f32 #s(literal 0 binary32) (.f32 x tau)) (neg.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 x tau))) (PI.f32))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (PI.f32))))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 (PI.f32))) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))) #s(literal 1 binary32)))
(neg.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (PI.f32)))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 #s(literal -1 binary32) (/.f32 (.f32 x (neg.f32 (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 x (.f32 x #s(literal -1/6 binary32)))
(.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal -1/6 binary32))))
(.f32 #s(literal -1/6 binary32) (.f32 x x))
(.f32 (.f32 x x) #s(literal -1/6 binary32))
(.f32 (.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32))
(.f32 (.f32 x #s(literal -1/6 binary32)) x)

simplify350.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6560×	`-lowering-.f32`
6560×	`-lowering-.f64`
1778×	`+-lowering-+.f64`
1778×	`+-lowering-+.f32`
1656×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	6149
1	1483	5501
2	6384	5495
0	8017	5495

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval620.0ms (4.3%)

Compiler: Compiled 76109 to 6621 computations (91.3% saved)

prune715.0ms (4.9%)

Pruning

92 alts after pruning (88 fresh and 4 done)

	Pruned	Kept	Total
New	3285	32	3317
Fresh	22	56	78
Picked	4	1	5
Done	1	3	4
Total	3312	92	3404

Accuracy

99.9%

Counts

3404 → 92

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x x)) (PI.f32)) tau) (PI.f32))
	97.2%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) tau) (.f32 x (PI.f32))) x)
	67.1%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) x) (.f32 x #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	72.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) x) tau)
	72.2%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (PI.f32)) tau)
	72.0%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) tau)
	51.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	63.6%	(/.f32 (/.f32 (-.f32 (.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x x)) (.f32 x #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) x))) (.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	66.9%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	67.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	33.2%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x x) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	97.3%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 x (PI.f32)))) tau)
	70.9%	(/.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))))) (*.f32 x (PI.f32))) tau)
	86.5%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	86.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	71.0%	(/.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (*.f32 x (PI.f32))) tau)
	64.8%	(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
	72.0%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (*.f32 x (PI.f32))) tau)
	72.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) x)
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x x))
	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (PI.f32)))
	65.5%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
	71.4%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))))) (*.f32 x (PI.f32))) tau)
	71.7%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) tau)
✓	72.1%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
	97.2%	(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
	64.7%	(/.f32 (-.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 x (.f32 x #s(literal 2 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	67.1%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
	86.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal -1/6 binary32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	80.4%	(/.f32 (+.f32 tau (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 tau (.f32 tau (*.f32 tau tau))))))) tau)
	72.1%	(/.f32 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 x (PI.f32))) (PI.f32)) tau)
	70.8%	(/.f32 (.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) tau) (.f32 tau tau)))))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	72.0%	(/.f32 (.f32 (/.f32 (.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) tau)
	70.8%	(/.f32 (.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	96.7%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (/.f32 (PI.f32) x) (.f32 x tau)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))) x)
	96.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) x)) x)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x)) tau)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal -1/6 binary32))))) (.f32 x (*.f32 (PI.f32) tau)))) x)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (*.f32 x (PI.f32))))) tau)
	72.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) x)
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 x (.f32 (PI.f32) tau)))) x)
	71.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 x (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))) tau)
	86.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau))))) x)
	86.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x))) tau)
	71.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (/.f32 (PI.f32) (*.f32 x x)) (/.f32 x (PI.f32)))) tau)
	86.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))) tau)
	72.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) tau)
	72.0%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32))
	67.1%	(/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) (-.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	86.3%	(/.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 x (.f32 x (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) tau)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
	64.7%	(/.f32 (.f32 (.f32 x tau) (/.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 x (PI.f32))))) tau)
	64.8%	(/.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))
	70.9%	(/.f32 (.f32 (.f32 tau (+.f32 x (.f32 (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x x))))) (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32))))) tau)
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	86.2%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))) (.f32 x x))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	94.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (exp.f32 (.f32 (log.f32 (/.f32 (.f32 x x) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	98.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 tau (.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
	79.9%	(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
	80.1%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
	80.3%	(/.f32 (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
	64.7%	(/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
	64.6%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))
	64.4%	(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau)))
	97.9%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))
	72.2%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
	72.2%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	72.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau)))
	80.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
	71.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	97.4%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) tau) (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	80.4%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (PI.f32))))
	80.6%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))
	71.1%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau (.f32 x (.f32 x x)))))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.0%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
	97.2%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	86.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) x) (PI.f32)))
	96.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x)) x) (PI.f32)))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)))
	86.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 x x))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
	81.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x #s(literal -1/6 binary32))) x) (.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal -1/6 binary32))))) (.f32 x (PI.f32))))
	79.9%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (/.f32 (sin.f32 (.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 x (PI.f32))))
	81.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 tau tau))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	71.1%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))) #s(literal 1 binary32))
	65.6%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.1%	(.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (-.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 (.f32 x (PI.f32)) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) (.f32 x (*.f32 x #s(literal 2 binary32)))))))
✓	64.8%	#s(literal 1 binary32)
✓	6.3%	#s(literal 0 binary32)

Compiler

Compiled 5775 to 1978 computations (65.7% saved)

regimes190.0ms (1.3%)

Counts

151 → 1

Calls

Call 1

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

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

Calls

4 calls:

48.0ms	(.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	tau
41.0ms	x
40.0ms	(*.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 34 to 18 computations (47.1% saved)

regimes130.0ms (0.9%)

Counts

102 → 1

Calls

Call 1

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

Calls

4 calls:

32.0ms	x
29.0ms	(*.f32 x (PI.f32))
28.0ms	tau
28.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes92.0ms (0.6%)

Counts

94 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	tau
26.0ms	(*.f32 x (PI.f32))
26.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes87.0ms (0.6%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	tau
26.0ms	(*.f32 x (PI.f32))
26.0ms	x

Results

Accuracy	Segments	Branch
86.9%	1	`x`
86.9%	1	`tau`
86.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes71.0ms (0.5%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	x
20.0ms	(*.f32 x (PI.f32))
19.0ms	tau

Results

Accuracy	Segments	Branch
81.1%	1	`tau`
81.1%	1	`x`
81.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes68.0ms (0.5%)

Counts

70 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.1%	1	`x`
81.1%	1	`(*.f32 x (PI.f32))`
81.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes70.0ms (0.5%)

Counts

69 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	(*.f32 x (PI.f32))
20.0ms	x
18.0ms	tau

Results

Accuracy	Segments	Branch
81.1%	1	`x`
81.1%	1	`(*.f32 x (PI.f32))`
81.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes62.0ms (0.4%)

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	(*.f32 x (PI.f32))
19.0ms	x
19.0ms	tau

Results

Accuracy	Segments	Branch
81.1%	1	`x`
81.1%	1	`(*.f32 x (PI.f32))`
81.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(*.f32 x (PI.f32))
4.0ms	tau
4.0ms	x

Results

Accuracy	Segments	Branch
71.1%	1	`x`
71.1%	1	`(*.f32 x (PI.f32))`
71.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (.f32 tau (.f32 x (PI.f32))) (.f32 (.f32 x tau) (PI.f32)))
(/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
(/.f32 (.f32 (.f32 x tau) (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)

Outputs
#s(literal 1 binary32)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`x`
64.8%	1	`(*.f32 x (PI.f32))`
64.8%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)

Outputs
#s(literal 0 binary32)

Calls

2 calls:

1.0ms	x
1.0ms	tau

Results

Accuracy	Segments	Branch
6.3%	1	`tau`
6.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

64×	`*-commutative_binary32`
14×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	220
1	100	220

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness2.6s (17.7%)

Rules

6594×	`-lowering-.f32`
6594×	`-lowering-.f64`
6560×	`-lowering-.f32`
6560×	`-lowering-.f64`
5850×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	412	6149
1	1483	5501
2	6384	5495
0	8017	5495
0	435	6165
1	1589	5577
2	7055	5577
0	8021	5577
0	10	21
1	23	21
2	80	21
3	284	18
4	677	18
5	1036	18
6	1072	18
7	1072	18
0	1072	18
0	30	226
1	170	214
2	1311	206
3	7164	203
0	8066	203
0	693	8494
1	2508	7519
2	6248	7238
0	8383	7238
0	286	3298
1	980	3012
2	4245	2948
0	8086	2948
0	44	300
1	246	293
2	1964	256
0	8386	256
0	18	111
1	101	111
2	803	105
3	6745	105
0	8060	105

Stop Event

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

Compiler

Compiled 488 to 225 computations (53.9% saved)

preprocess75.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1318 to 492 computations (62.7% saved)

analyze32.0ms (0.2%)

sample1.9s (13.1%)

preprocess84.0ms (0.6%)

explain242.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.2%)

localize373.0ms (2.6%)

series36.0ms (0.2%)

rewrite351.0ms (2.4%)

simplify303.0ms (2.1%)

eval131.0ms (0.9%)

prune231.0ms (1.6%)

simplify273.0ms (1.9%)

localize319.0ms (2.2%)

series92.0ms (0.6%)

rewrite358.0ms (2.5%)

simplify376.0ms (2.6%)

eval202.0ms (1.4%)

prune272.0ms (1.9%)

simplify436.0ms (3%)

localize261.0ms (1.8%)

series16.0ms (0.1%)

rewrite321.0ms (2.2%)

simplify357.0ms (2.5%)

eval331.0ms (2.3%)

prune733.0ms (5%)

simplify509.0ms (3.5%)

localize283.0ms (1.9%)

series24.0ms (0.2%)

rewrite501.0ms (3.4%)

simplify350.0ms (2.4%)

eval620.0ms (4.3%)

prune715.0ms (4.9%)

regimes190.0ms (1.3%)

regimes130.0ms (0.9%)

regimes92.0ms (0.6%)

regimes87.0ms (0.6%)

regimes71.0ms (0.5%)

regimes68.0ms (0.5%)

regimes70.0ms (0.5%)

regimes62.0ms (0.4%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness2.6s (17.7%)

preprocess75.0ms (0.5%)

end0.0ms (0%)

Profiling