Metrics for Lanczos kernel

analyze31.0ms (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: 19.0ms

ival-mult: 4.0ms (21% of total)

ival-sin: 4.0ms (21% of total)

...c/correct-round.rkt:119:19: 4.0ms (21% of total)

ival-div: 2.0ms (10.5% of total)

ival-<=: 2.0ms (10.5% of total)

ival-pi: 1.0ms (5.3% of total)

ival-and: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

sample1.8s (12.7%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 300.0ms (27.1% of total)

ival-mult: 186.0ms (16.8% of total)

...c/correct-round.rkt:119:19: 171.0ms (15.5% of total)

ival-<=: 152.0ms (13.7% of total)

ival-div: 147.0ms (13.3% of total)

ival-pi: 109.0ms (9.9% of total)

ival-and: 31.0ms (2.8% of total)

const: 8.0ms (0.7% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess123.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

892×	`fma-define`
832×	`associate-l`
792×	`fnmadd-define`
766×	`distribute-lft-neg-in`
758×	`distribute-frac-neg2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	112	136
2	494	128
3	2572	110
4	5336	110
0	10	21
1	25	21
2	82	21
3	286	18
4	679	18
5	1070	18
6	1104	18
7	1104	18
0	1104	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 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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))))
(* (/ (fast-sin (* x (* (PI) tau))) tau) (/ (fast-sin (* x (PI))) (square (* x (PI)))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (/ (fast-sin (* x (* (PI) tau))) tau) (/ (fast-sin (* x (PI))) (square (* x (PI)))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (fast-sin (* x (* (PI) tau))) tau) (/ (fast-sin (* x (PI))) (square (* x (PI)))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(* (/ (fast-sin (* x (* (PI) tau))) (neg tau)) (/ (fast-sin (* x (PI))) (square (* x (PI)))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (/ (fast-sin (* x (* (PI) tau))) (neg tau)) (/ (fast-sin (* x (PI))) (square (* x (PI)))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (fast-sin (* x (* (PI) tau))) (/ (fast-sin (* (PI) tau)) (* x (square (* (PI) tau)))))

Symmetry

(abs x)

(abs tau)

explain179.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9937670826911926 1.2380282878875732)	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`x`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`

Results

124.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 18.0ms (45.8% of total)

ival-mult: 10.0ms (25.4% of total)

ival-div: 8.0ms (20.4% of total)

ival-pi: 2.0ms (5.1% of total)

const: 1.0ms (2.5% of total)

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

eval0.0ms (0%)

Compiler: Compiled 23 to 14 computations (39.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 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

▶

96.9%

(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 24 computations (47.8% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	57	134
2	172	134
3	573	131
4	1076	131
5	1125	131
0	1125	131

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

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

localize153.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	accuracy	99.2%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.6%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

113.0ms

256×

valid

Compiler

Compiled 145 to 20 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 52.0ms (74.9% of total)

ival-sin: 11.0ms (15.8% of total)

ival-div: 5.0ms (7.2% of total)

ival-pi: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

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

series55.0ms (0.4%)

Counts

11 → 228

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

57 calls:

Time	Variable		Point	Expression
8.0ms	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	x	@	-inf	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (* (PI) (* (PI) tau)))))
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))))
2.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite519.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

6030×	`-lowering-.f32`
6030×	`-lowering-.f64`
2848×	`/-lowering-/.f32`
2848×	`/-lowering-/.f64`
1080×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	101
1	109	97
2	853	95
3	7910	95
0	8005	95

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 843

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

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

simplify347.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5198×	`-lowering-.f32`
5198×	`-lowering-.f64`
5120×	`+-lowering-+.f64`
5120×	`+-lowering-+.f32`
1244×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3123
1	928	2866
2	4077	2752
0	8092	2752

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

eval178.0ms (1.3%)

Compiler: Compiled 33939 to 2413 computations (92.9% saved)

prune172.0ms (1.2%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	1314	37	1351
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1315	38	1353

Accuracy

99.8%

Counts

1353 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.3%	(/.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32))) (+.f32 (.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	67.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (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 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.9%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
▶	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
▶	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	66.2%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
▶	80.0%	(/.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))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	64.4%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	79.7%	(/.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)))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	95.9%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (.f32 x tau) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (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 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	65.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
▶	72.7%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	85.2%	(+.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 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	80.0%	(+.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))))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	80.0%	(.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))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	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))))
	85.8%	(.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)))))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
	72.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
▶	64.6%	#s(literal 1 binary32)

Compiler

Compiled 2237 to 1204 computations (46.2% saved)

simplify289.0ms (2%)

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)))) #s(literal 2 binary32))
✓	cost-diff	0	(/.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	0	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x 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 (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	0	(.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)))))
✓	cost-diff	0	(.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))))) (sin.f32 (.f32 x (PI.f32))))
✓	cost-diff	64	(+.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))))
✓	cost-diff	128	(/.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))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (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 (PI.f32) (*.f32 x tau)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))

Rules

6482×	`-lowering-.f32`
6482×	`-lowering-.f64`
2686×	`/-lowering-/.f32`
2686×	`/-lowering-/.f64`
1962×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	467
1	154	449
2	520	428
3	3038	422
4	5657	417
0	8060	417

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize320.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
✓	accuracy	76.9%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(*.f32 tau (PI.f32))
✓	accuracy	98.8%	(.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))))) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.6%	(/.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))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	98.9%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))

Results

241.0ms

256×

valid

Compiler

Compiled 512 to 49 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 41.0ms (40.7% of total)

ival-cos: 22.0ms (21.9% of total)

ival-div: 17.0ms (16.9% of total)

ival-sin: 9.0ms (8.9% of total)

...c/correct-round.rkt:119:19: 5.0ms (5% of total)

ival-add: 3.0ms (3% of total)

ival-sub: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series93.0ms (0.7%)

Counts

21 → 420

Calls

Call 1

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

Calls

105 calls:

Time	Variable		Point	Expression
29.0ms	tau	@	inf	(* (PI) (* x (* (PI) (* x tau))))
7.0ms	x	@	0	(* x (+ (* tau (PI)) (* (* x x) (* (* (PI) (* (PI) (PI))) (* (* -1/6 (* tau tau)) tau)))))
4.0ms	x	@	inf	(/ (* (* x (+ (* tau (PI)) (* (* x x) (* (* (PI) (* (PI) (PI))) (* (* -1/6 (* tau tau)) tau))))) (sin (* x (PI)))) (* x (* x (* (PI) (* (PI) tau)))))
3.0ms	x	@	0	(- (/ (/ (cos (* (* x (PI)) (- tau 1))) 2) (* (PI) (* x (* (PI) (* x tau))))) (/ (/ (cos (* x (* (PI) (+ tau 1)))) 2) (* (PI) (* x (* (PI) (* x tau))))))
3.0ms	tau	@	-inf	(- (/ (/ (cos (* (* x (PI)) (- tau 1))) 2) (* (PI) (* x (* (PI) (* x tau))))) (/ (/ (cos (* x (* (PI) (+ tau 1)))) 2) (* (PI) (* x (* (PI) (* x tau))))))

rewrite422.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4016×	`/-lowering-/.f32`
4016×	`/-lowering-/.f64`
3656×	`-lowering-.f32`
3656×	`-lowering-.f64`
1934×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	264
1	288	238
2	2873	232
0	8474	232

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 822

Calls

Call 1

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

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

simplify536.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4524×	`-lowering-.f32`
4524×	`-lowering-.f64`
3830×	`+-lowering-+.f64`
3830×	`+-lowering-+.f32`
1986×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	654	7378
1	2378	6577
2	6410	6326
0	8276	6326

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

eval186.0ms (1.3%)

Compiler: Compiled 59459 to 3476 computations (94.2% saved)

prune204.0ms (1.4%)

Pruning

58 alts after pruning (56 fresh and 2 done)

	Pruned	Kept	Total
New	1583	34	1617
Fresh	10	22	32
Picked	3	2	5
Done	1	0	1
Total	1597	58	1655

Accuracy

99.9%

Counts

1655 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) tau) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	66.1%	(/.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)))))) #s(literal 2 binary32)) (PI.f32)) (.f32 x (.f32 (*.f32 x (PI.f32)) tau)))
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	67.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (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 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	85.3%	(/.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 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	85.4%	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
	79.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
✓	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	78.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x 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))))))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) x))
	71.7%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	63.6%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 x (PI.f32))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 (PI.f32) #s(literal 2 binary32))) x)) (.f32 (.f32 x (PI.f32)) tau))
	63.6%	(/.f32 (-.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 x (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 (PI.f32) #s(literal 2 binary32))))) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 2 binary32))) (.f32 x (.f32 (.f32 x (PI.f32)) tau))))
	63.0%	(/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau)))))
	64.1%	(/.f32 (-.f32 (neg.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32))))) (.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 (.f32 x (.f32 (*.f32 x (PI.f32)) tau))))
	84.9%	(/.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 (PI.f32) (*.f32 x tau)))))
▶	85.6%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
▶	66.2%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	79.9%	(/.f32 (.f32 (.f32 (+.f32 (.f32 (PI.f32) tau) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))) (/.f32 x x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 (*.f32 x (PI.f32)) tau)))
	79.8%	(/.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 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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	70.7%	(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	79.9%	(/.f32 (.f32 (.f32 x (.f32 tau (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	64.4%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	64.4%	(/.f32 (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	95.5%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (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 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.1%	(/.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))))
	63.7%	(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))))) tau)
	63.9%	(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (.f32 tau (.f32 (PI.f32) (PI.f32)))))) (.f32 x x))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	65.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	72.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	72.7%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	33.1%	(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	53.1%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	57.2%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	32.6%	(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	85.2%	(+.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 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	80.0%	(+.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)))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.8%	(.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)))))))
	72.1%	(.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 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
▶	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	64.4%	(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
✓	64.6%	#s(literal 1 binary32)
▶	6.3%	#s(literal 0 binary32)

Compiler

Compiled 3506 to 1966 computations (43.9% saved)

simplify277.0ms (2%)

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 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))
✓	cost-diff	0	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
✓	cost-diff	64	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 x x))
✓	cost-diff	0	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	0	(.f32 (PI.f32) (.f32 x tau))
✓	cost-diff	0	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	cost-diff	0	(neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	96	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))

Rules

5282×	`-lowering-.f32`
5282×	`-lowering-.f64`
2622×	`/-lowering-/.f32`
2622×	`/-lowering-/.f64`
1328×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	383
1	128	371
2	419	357
3	1892	352
4	4289	347
0	8412	347

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (neg (sin (* (PI) (* x tau)))) (/ (/ -1 (* (PI) (* x tau))) (/ (* x (PI)) (sin (* x (PI))))))
(neg (sin (* (PI) (* x tau))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (/ -1 (* (PI) (* x tau))) (/ (* x (PI)) (sin (* x (PI)))))
(/ -1 (* (PI) (* x tau)))
-1
(/ (* x (PI)) (sin (* x (PI))))
(* x (PI))
(sin (* x (PI)))
0
(/ (+ 1 (* (* -1/6 (* x x)) (* (PI) (PI)))) (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))))
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))
1
(* (* -1/6 (* x x)) (* (PI) (PI)))
(* -1/6 (* x x))
-1/6
(* x x)
x
(* (PI) (PI))
(PI)
(/ (* (PI) (* x tau)) (sin (* (PI) (* x tau))))
(* (PI) (* x tau))
(* x tau)
tau
(sin (* (PI) (* x tau)))
(* (/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))
(/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) tau)))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(* (PI) (* (PI) tau))
(* (PI) tau)
(/ (sin (* x (PI))) (* x x))
(sin (* x (PI)))
(* x (PI))
(* x x)
(/ (* (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) (/ 1 (* x (* (PI) (* (PI) tau))))) (* x 2))
(* (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) (/ 1 (* x (* (PI) (* (PI) tau)))))
(- (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)))
(* (PI) (+ tau 1))
(+ tau 1)
(/ 1 (* x (* (PI) (* (PI) tau))))
(* x (* (PI) (* (PI) tau)))
(* (PI) (* (PI) tau))
(* (PI) tau)
(* x 2)
2

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

localize287.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(*.f32 (PI.f32) tau)
✓	accuracy	98.8%	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	accuracy	98.6%	(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
✓	accuracy	67.5%	(-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(.f32 #s(literal -1/6 binary32) (.f32 x x))
✓	accuracy	98.7%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))

Results

212.0ms

256×

valid

Compiler

Compiled 404 to 44 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 44.0ms (47.7% of total)

ival-div: 15.0ms (16.3% of total)

ival-sin: 9.0ms (9.8% of total)

ival-cos: 7.0ms (7.6% of total)

...c/correct-round.rkt:119:19: 7.0ms (7.6% of total)

ival-add: 4.0ms (4.3% of total)

ival-sub: 4.0ms (4.3% of total)

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

const: 1.0ms (1.1% of total)

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

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

series57.0ms (0.4%)

Counts

18 → 348

Calls

Call 1

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

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 (* x (PI))))>
#<alt (* x (- (* 1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (- (* (pow x 2) (- (* -1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* tau (PI))))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* tau (PI))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (* tau (* x (PI))))>
#<alt (* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))>
#<alt (* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* x (PI))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (sin (* tau (* x (PI)))))>
#<alt (* -1 (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 (* 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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 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))>
#<alt (* -1/6 (pow x 2))>
#<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))))>
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#<alt (* x (- (+ (* -1/2 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* -1/2 (/ (pow (+ 1 tau) 2) tau))))>
#<alt (* x (- (+ (* -1/2 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (- (+ (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* (pow x 2) (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* -1/2 (/ (pow (+ 1 tau) 2) tau))))>
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#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
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#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
#<alt (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* x (pow (PI) 2))))>
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#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* x (pow (PI) 2))))>
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#<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)>
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#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
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#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
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#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt 1>
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#<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)))))))>
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#<alt (cos (* x (* (PI) (- tau 1))))>
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#<alt (* -1 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2)))))>
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#<alt (* -1 (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2)))))>
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#<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 (PI)>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>

Calls

87 calls:

Time	Variable		Point	Expression
15.0ms	tau	@	0	(* (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) (/ 1 (* x (* (PI) (* (PI) tau)))))
3.0ms	tau	@	-inf	(* (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) (/ 1 (* x (* (PI) (* (PI) tau)))))
3.0ms	tau	@	-inf	(/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) tau)))
2.0ms	tau	@	0	(/ (sin (* (PI) (* x tau))) (* (PI) (* (PI) tau)))
1.0ms	tau	@	inf	(/ (+ 1 (* (* -1/6 (* x x)) (* (PI) (PI)))) (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))))

rewrite636.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3602×	`/-lowering-/.f32`
3602×	`/-lowering-/.f64`
3186×	`-lowering-.f32`
3186×	`-lowering-.f64`
1654×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	217
1	256	207
2	2255	198
0	8396	198

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 668

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))))))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32)) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32))) (neg.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (neg.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) x)) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau))))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) x) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (sin.f32 (.f32 (PI.f32) x)))
(.f32 (.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x)))) #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(+.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(-.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau))))))) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (+.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau)))))))) (neg.f32 (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
(.f32 (PI.f32) (.f32 x tau))
(.f32 x (.f32 (PI.f32) tau))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (.f32 x tau) (PI.f32))
(.f32 (.f32 (PI.f32) x) tau)
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 x tau)))
(.f32 (.f32 (PI.f32) tau) x)
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 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 (.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(.f32 (.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(neg.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) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x)))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x)))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))) (/.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) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))))))) (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x x))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.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) (neg.f32 (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))))
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(/.f32 (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))))) (neg.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x)))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32)))
(.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x)))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (pow.f32 (/.f32 x #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) x))) (/.f32 #s(literal -1 binary32) (PI.f32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(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 (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 2/3 binary32)) (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))
(*.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 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 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 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 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 (.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 (PI.f32) tau)
(*.f32 tau (PI.f32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) tau))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) 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 (PI.f32) (*.f32 (PI.f32) tau))
(+.f32 (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (PI.f32) tau (PI.f32))
(fma.f32 (PI.f32) #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(fma.f32 tau (PI.f32) (PI.f32))
(fma.f32 #s(literal 1 binary32) (PI.f32) (*.f32 (PI.f32) tau))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) tau) (PI.f32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) tau) (PI.f32))
(fma.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (PI.f32))
(fma.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (PI.f32))
(-.f32 (/.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) (-.f32 (.f32 (PI.f32) tau) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (+.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (.f32 (PI.f32) (+.f32 (.f32 tau tau) #s(literal -1 binary32))) (+.f32 tau #s(literal -1 binary32)))
(/.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau tau)))) (+.f32 (.f32 tau tau) (-.f32 #s(literal 1 binary32) tau)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau tau))) (PI.f32)) (+.f32 (.f32 tau tau) (-.f32 #s(literal 1 binary32) tau)))
(/.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal -1 binary32)) (PI.f32)) (+.f32 tau #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (neg.f32 (+.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) (-.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 (PI.f32) tau) (.f32 (PI.f32) tau)) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (neg.f32 (.f32 (PI.f32) (+.f32 (.f32 tau tau) #s(literal -1 binary32)))) (neg.f32 (+.f32 tau #s(literal -1 binary32))))
(/.f32 (neg.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau tau))))) (neg.f32 (+.f32 (.f32 tau tau) (-.f32 #s(literal 1 binary32) tau))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau tau))) (PI.f32))) (neg.f32 (+.f32 (.f32 tau tau) (-.f32 #s(literal 1 binary32) tau))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal -1 binary32)) (PI.f32))) (neg.f32 (+.f32 tau #s(literal -1 binary32))))
(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))
(*.f32 (+.f32 tau #s(literal 1 binary32)) (PI.f32))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 tau #s(literal 1 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 tau #s(literal 1 binary32))))
(.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify359.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

8276×	`-lowering-.f32`
8276×	`-lowering-.f64`
2774×	`+-lowering-+.f64`
2774×	`+-lowering-+.f32`
1896×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	616	6742
1	2185	5858
0	8569	5858

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

eval123.0ms (0.9%)

Compiler: Compiled 39758 to 3001 computations (92.5% saved)

prune190.0ms (1.3%)

Pruning

69 alts after pruning (64 fresh and 5 done)

	Pruned	Kept	Total
New	1200	29	1229
Fresh	16	35	51
Picked	2	3	5
Done	0	2	2
Total	1218	69	1287

Accuracy

99.9%

Counts

1287 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) tau) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	66.0%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) x)
	65.9%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 tau (.f32 (PI.f32) (PI.f32)))) x) (*.f32 x #s(literal 2 binary32)))
▶	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	67.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (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 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 tau (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 x #s(literal 2 binary32)))
	85.5%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	85.3%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	66.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))))) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x #s(literal 2 binary32)))
▶	85.4%	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	79.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
✓	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	78.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x 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))))))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) x))
	71.7%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	63.0%	(/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau)))))
	84.9%	(/.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 (PI.f32) (*.f32 x tau)))))
	85.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	85.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (.f32 (PI.f32) tau) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	79.7%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 tau tau)) #s(literal -1/6 binary32))))))))
	79.7%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))))
	65.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
	85.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	85.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
	66.0%	(/.f32 (.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) x) (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x #s(literal 2 binary32)))
	97.3%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	50.1%	(/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 x x)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	66.1%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	31.8%	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	85.8%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (*.f32 x tau)))
	79.8%	(/.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 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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	70.7%	(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	64.4%	(/.f32 (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (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 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	97.1%	(/.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))))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	65.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
▶	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	72.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	53.1%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	57.2%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	32.6%	(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	85.2%	(+.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 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	80.0%	(+.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)))))
▶	65.3%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	81.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	70.2%	(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau))))))) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.5%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	79.6%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.8%	(.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)))))))
	72.1%	(.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 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	96.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	79.9%	(.f32 (+.f32 (/.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (.f32 x x) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
▶	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	85.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
✓	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.0%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal 1/6 binary32)) tau) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) x))
	90.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (+.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/120 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau)))) (/.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) x))
	89.7%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)))
	64.4%	(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
✓	64.6%	#s(literal 1 binary32)
✓	6.3%	#s(literal 0 binary32)

Compiler

Compiled 3964 to 2295 computations (42.1% saved)

simplify328.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
✓	cost-diff	0	(/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
✓	cost-diff	0	(+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	cost-diff	128	(/.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)))
✓	cost-diff	0	(*.f32 tau tau)
✓	cost-diff	0	(.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32))
✓	cost-diff	0	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))

Rules

5516×	`-lowering-.f32`
5516×	`-lowering-.f64`
3712×	`fma-define`
3680×	`fma-lowering-fma.f32`
3680×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	406
1	131	391
2	453	384
3	2012	375
4	4042	371
5	4692	371
6	7635	371
7	7692	371
8	7692	371
9	7692	371
0	9104	371

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize279.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(sin.f32 (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	98.8%	(*.f32 (PI.f32) tau)
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	accuracy	98.7%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.1%	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	accuracy	98.8%	(.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.8%	(.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
✓	accuracy	99.7%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	99.1%	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32))
✓	accuracy	98.9%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.4%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))

Results

202.0ms

256×

valid

Compiler

Compiled 457 to 42 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 46.0ms (50.3% of total)

ival-div: 19.0ms (20.8% of total)

ival-sin: 13.0ms (14.2% of total)

ival-add: 6.0ms (6.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.4% of total)

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

const: 0.0ms (0% of total)

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

series40.0ms (0.3%)

Counts

25 → 420

Calls

Call 1

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

Calls

105 calls:

Time	Variable		Point	Expression
4.0ms	tau	@	inf	(/ (* x (* (PI) (* (PI) tau))) (sin (* (PI) (* x tau))))
2.0ms	tau	@	inf	(/ (/ (* x (+ (PI) (* (* -1/6 (* x x)) (* (PI) (* (PI) (PI)))))) (* x (PI))) (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))))
2.0ms	tau	@	-inf	(/ (/ (* x (+ (PI) (* (* -1/6 (* x x)) (* (PI) (* (PI) (PI)))))) (* x (PI))) (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))))
1.0ms	x	@	inf	(* (+ 1 (* (* tau tau) (* x (* x (* -1/6 (* (PI) (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms	x	@	0	(/ (/ (* x (* (PI) (* (PI) tau))) (sin (* (PI) (* x tau)))) (/ (sin (* x (PI))) x))

rewrite380.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4790×	`/-lowering-/.f32`
4790×	`/-lowering-/.f64`
3474×	`-lowering-.f32`
3474×	`-lowering-.f64`
1450×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	263
1	260	248
2	2365	242
0	8359	242

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 939

Calls

Call 1

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

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

simplify383.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

7450×	`-lowering-.f32`
7450×	`-lowering-.f64`
2360×	`+-lowering-+.f64`
2360×	`+-lowering-+.f32`
1698×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	6499
1	1662	5586
2	7924	5446
0	8092	5446

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

eval173.0ms (1.2%)

Compiler: Compiled 50926 to 3734 computations (92.7% saved)

prune412.0ms (2.9%)

Pruning

99 alts after pruning (92 fresh and 7 done)

	Pruned	Kept	Total
New	1599	43	1642
Fresh	10	49	59
Picked	3	2	5
Done	0	5	5
Total	1612	99	1711

Accuracy

99.9%

Counts

1711 → 99

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) tau) x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	66.0%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) x)
	65.9%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 tau (.f32 (PI.f32) (PI.f32)))) x) (*.f32 x #s(literal 2 binary32)))
	85.1%	(/.f32 (/.f32 (/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (PI.f32)) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	85.3%	(/.f32 (/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32))))))) (PI.f32)) x) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	85.1%	(/.f32 (/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))
	79.8%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))))
✓	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	67.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32))))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	66.2%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (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 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	66.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (.f32 tau (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 x #s(literal 2 binary32)))
	85.6%	(/.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) (PI.f32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	85.5%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	85.3%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	90.5%	(/.f32 (/.f32 (+.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 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	66.0%	(/.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))))) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x #s(literal 2 binary32)))
	85.1%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))) (/.f32 (PI.f32) (.f32 x x))) (.f32 (.f32 x (.f32 x x)) #s(literal -1 binary32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	80.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 tau (.f32 x tau))))) (PI.f32)) x)
	84.8%	(/.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 (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	79.7%	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))))
	85.1%	(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (*.f32 (PI.f32) tau) x))))
	97.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))
	85.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (PI.f32) (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32))))
✓	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	78.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x 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))))))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) x))
	71.8%	(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	71.7%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	63.0%	(/.f32 (-.f32 (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 x (PI.f32)) tau) #s(literal 1/2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (.f32 x (PI.f32)) tau)))))
	90.6%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/120 binary32)))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
	85.1%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))
	84.9%	(/.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 (PI.f32) (*.f32 x tau)))))
	65.3%	(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
	85.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (.f32 (PI.f32) x) tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	85.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (.f32 (PI.f32) tau) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	79.7%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 tau tau)) #s(literal -1/6 binary32))))))))
	79.7%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))))
	85.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) x) tau))))
	85.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) tau) x))))
	66.0%	(/.f32 (.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) x) (/.f32 #s(literal 1 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x #s(literal 2 binary32)))
	85.3%	(/.f32 (.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) x) (/.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	50.1%	(/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 x x)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	66.1%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	31.8%	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))) (*.f32 x #s(literal 2 binary32)))
	85.5%	(/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
	85.8%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) (*.f32 x tau)))
	70.7%	(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	85.5%	(/.f32 (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32))))))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (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 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) tau)) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32)))))
	85.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (.f32 tau (*.f32 (PI.f32) (PI.f32)))))
	97.1%	(/.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))))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
✓	96.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	85.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x tau) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (*.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (PI.f32)) (PI.f32))))
	79.2%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 tau tau) #s(literal 1/6 binary32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
	72.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
	78.8%	(/.f32 #s(literal 1 binary32) (-.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))))))
	96.7%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) x))))
	85.4%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
	53.1%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	57.2%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	32.6%	(-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	65.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
	81.2%	(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
	84.5%	(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	85.2%	(+.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 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	80.0%	(+.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)))))
	65.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
	81.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
	85.7%	(.f32 (/.f32 (/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	70.2%	(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x tau))))))) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.5%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	80.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) x)) (.f32 tau (.f32 x tau)))) (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
	95.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	85.8%	(.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)))))))
	72.1%	(.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 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	96.7%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
	65.3%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
	79.9%	(.f32 (+.f32 (/.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (.f32 x x) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x x)))
	80.3%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
	80.8%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (+.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 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	70.9%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
	4.4%	(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	85.6%	(.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) (PI.f32))) (/.f32 #s(literal -1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
	85.5%	(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
✓	97.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
	85.0%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) #s(literal 1/6 binary32)) tau) (/.f32 #s(literal -1 binary32) (*.f32 tau (PI.f32)))) x))
	90.4%	(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (+.f32 (.f32 (.f32 x x) (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/120 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) tau)))) (/.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) tau))) (/.f32 #s(literal -1 binary32) (.f32 tau (PI.f32)))) x))
	89.7%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 (.f32 tau (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)))
	85.3%	(.f32 x (/.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 x (.f32 x #s(literal -1/6 binary32)))))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
	4.6%	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	64.6%	#s(literal 1 binary32)
✓	6.3%	#s(literal 0 binary32)

Compiler

Compiled 7119 to 2369 computations (66.7% saved)

regimes179.0ms (1.3%)

Counts

145 → 1

Calls

Call 1

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

Calls

4 calls:

40.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
40.0ms	x
38.0ms	tau
37.0ms	(*.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)

regimes114.0ms (0.8%)

Counts

96 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(*.f32 x (PI.f32))`
97.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes103.0ms (0.7%)

Counts

95 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	(*.f32 x (PI.f32))
27.0ms	tau
25.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`x`
96.9%	1	`tau`
96.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes96.0ms (0.7%)

Counts

93 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	tau
25.0ms	x
25.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
96.7%	1	`x`
96.7%	1	`tau`
96.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes89.0ms (0.6%)

Counts

92 → 1

Calls

Call 1

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

Outputs

(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))))) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))))

Calls

3 calls:

26.0ms	tau
24.0ms	(*.f32 x (PI.f32))
24.0ms	x

Results

Accuracy	Segments	Branch
90.6%	1	`x`
90.6%	1	`tau`
90.6%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes73.0ms (0.5%)

Counts

75 → 1

Calls

Call 1

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

25.0ms	(*.f32 x (PI.f32))
21.0ms	tau
20.0ms	x

Results

Accuracy	Segments	Branch
85.8%	1	`x`
85.8%	1	`tau`
85.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes201.0ms (1.4%)

Counts

37 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (+.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 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 tau tau)) #s(literal -1/6 binary32))))))))
(/.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 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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (PI.f32)) (*.f32 (PI.f32) (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)))))
(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

3 calls:

175.0ms	(*.f32 x (PI.f32))
11.0ms	tau
10.0ms	x

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`(*.f32 x (PI.f32))`
85.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes116.0ms (0.8%)

Counts

35 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (+.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 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 tau tau)) #s(literal -1/6 binary32))))))))
(/.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 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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (PI.f32)) (*.f32 (PI.f32) (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)))))
(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))

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

Calls

3 calls:

90.0ms	x
11.0ms	(*.f32 x (PI.f32))
10.0ms	tau

Results

Accuracy	Segments	Branch
85.1%	1	`x`
85.1%	1	`tau`
85.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes40.0ms (0.3%)

Counts

34 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(/.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 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (+.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 #s(literal 1/120 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau (.f32 tau tau)) #s(literal -1/6 binary32))))))))
(/.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 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 (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.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 (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x x))) (PI.f32)) (*.f32 (PI.f32) (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)))))
(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))

Outputs

(+.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 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))))

Calls

3 calls:

17.0ms	(*.f32 x (PI.f32))
10.0ms	x
10.0ms	tau

Results

Accuracy	Segments	Branch
81.2%	1	`x`
81.2%	1	`(*.f32 x (PI.f32))`
81.2%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))

Outputs

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

Calls

3 calls:

9.0ms	(*.f32 x (PI.f32))
6.0ms	tau
6.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes266.0ms (1.9%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.f32 x (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))

Outputs

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

Calls

3 calls:

252.0ms	tau
6.0ms	x
6.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
80.7%	1	`x`
80.7%	1	`tau`
80.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#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 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #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 #s(literal 1 binary32) (-.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 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (.f32 tau (.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:

10.0ms	x
5.0ms	tau
5.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
80.0%	1	`x`
80.0%	1	`(*.f32 x (PI.f32))`
80.0%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.9%	1	`tau`
70.9%	1	`x`
70.9%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	tau
3.0ms	x
3.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.3%	1	`x`
65.3%	1	`(*.f32 x (PI.f32))`
65.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
65.3%	1	`x`
65.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

2.0ms	tau
2.0ms	x

Results

Accuracy	Segments	Branch
64.6%	1	`x`
64.6%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% 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	tau
1.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative_binary32`
28×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`*-rgt-identity_binary32`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	358
1	156	358

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/120 binary32)))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (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 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))
(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.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 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.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 (.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 tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (*.f32 (PI.f32) (PI.f32)) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/120 binary32)))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (PI.f32)) tau))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/120 binary32)))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (*.f32 x (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 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32))))) (/.f32 (.f32 x tau) (sin.f32 (.f32 (.f32 x (PI.f32)) tau))))
(+.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 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(+.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 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.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 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (.f32 tau tau)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x (.f32 x #s(literal -1/6 binary32)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) x)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x #s(literal -1/6 binary32))))
(+.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 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))
#s(literal 1 binary32)
#s(literal 0 binary32)

soundness3.1s (22%)

Rules

8276×	`-lowering-.f32`
8276×	`-lowering-.f64`
7450×	`-lowering-.f32`
7450×	`-lowering-.f64`
6030×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	616	6742
1	2185	5858
0	8569	5858
0	41	263
1	260	248
2	2365	242
0	8359	242
0	19	101
1	109	97
2	853	95
3	7910	95
0	8005	95
0	263	3123
1	928	2866
2	4077	2752
0	8092	2752
0	654	7378
1	2378	6577
2	6410	6326
0	8276	6326
0	438	6499
1	1662	5586
2	7924	5446
0	8092	5446
0	48	264
1	288	238
2	2873	232
0	8474	232

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 730 to 329 computations (54.9% saved)

preprocess86.0ms (0.6%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 2054 to 748 computations (63.6% saved)

analyze31.0ms (0.2%)

sample1.8s (12.7%)

preprocess123.0ms (0.9%)

explain179.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.3%)

localize153.0ms (1.1%)

series55.0ms (0.4%)

rewrite519.0ms (3.7%)

simplify347.0ms (2.4%)

eval178.0ms (1.3%)

prune172.0ms (1.2%)

simplify289.0ms (2%)

localize320.0ms (2.3%)

series93.0ms (0.7%)

rewrite422.0ms (3%)

simplify536.0ms (3.8%)

eval186.0ms (1.3%)

prune204.0ms (1.4%)

simplify277.0ms (2%)

localize287.0ms (2%)

series57.0ms (0.4%)

rewrite636.0ms (4.5%)

simplify359.0ms (2.5%)

eval123.0ms (0.9%)

prune190.0ms (1.3%)

simplify328.0ms (2.3%)

localize279.0ms (2%)

series40.0ms (0.3%)

rewrite380.0ms (2.7%)

simplify383.0ms (2.7%)

eval173.0ms (1.2%)

prune412.0ms (2.9%)

regimes179.0ms (1.3%)

regimes114.0ms (0.8%)

regimes103.0ms (0.7%)

regimes96.0ms (0.7%)

regimes89.0ms (0.6%)

regimes73.0ms (0.5%)

regimes201.0ms (1.4%)

regimes116.0ms (0.8%)

regimes40.0ms (0.3%)

regimes24.0ms (0.2%)

regimes266.0ms (1.9%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes20.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify13.0ms (0.1%)

soundness3.1s (22%)

preprocess86.0ms (0.6%)

end0.0ms (0%)

Profiling