Metrics for Lanczos kernel

analyze33.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-sin: 4.0ms (22.8% of total)

ival-div: 3.0ms (17.1% of total)

ival-mult: 3.0ms (17.1% of total)

...c/correct-round.rkt:119:19: 3.0ms (17.1% of total)

ival-<=: 2.0ms (11.4% of total)

ival-pi: 1.0ms (5.7% of total)

ival-and: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

sample1.8s (12.4%)

Results

1.5s

8256×

valid

Precisions

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

ival-sin: 275.0ms (24.6% of total)

ival-mult: 230.0ms (20.6% of total)

...c/correct-round.rkt:119:19: 178.0ms (15.9% of total)

ival-div: 170.0ms (15.2% of total)

ival-<=: 158.0ms (14.1% of total)

ival-pi: 62.0ms (5.5% of total)

ival-and: 34.0ms (3% of total)

const: 8.0ms (0.7% of total)

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

Bogosity

preprocess86.0ms (0.6%)

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)

explain147.0ms (1%)

FPErrors

Click to see full error table

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

Results

96.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 17.0ms (44.4% of total)

ival-mult: 10.0ms (26.1% of total)

ival-div: 8.0ms (20.9% of total)

ival-pi: 2.0ms (5.2% of total)

const: 1.0ms (2.6% 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
▶	97.0%	(/.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)))))
▶	98.1%	(.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))))

Status

Accuracy

Program

▶

97.0%

(/.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)))))

▶

98.1%

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

Compiler

Compiled 46 to 24 computations (47.8% saved)

simplify36.0ms (0.2%)

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)

localize152.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) tau))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.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	99.1%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Results

109.0ms

256×

valid

Compiler

Compiled 145 to 20 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sin: 45.0ms (64.4% of total)

ival-mult: 17.0ms (24.3% of total)

ival-div: 6.0ms (8.6% of total)

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

const: 0.0ms (0% of total)

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

series34.0ms (0.2%)

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) (* (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 (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>

Calls

57 calls:

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

rewrite375.0ms (2.6%)

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	103
1	109	98
2	853	96
3	7910	96
0	8005	96

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 848

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) (* (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) (.f32 (PI.f32) tau))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) tau) (PI.f32))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 tau (*.f32 (PI.f32) (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 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau)))
(.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 3/2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau))
(.f32 (.f32 (PI.f32) (PI.f32)) tau)
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 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 3/2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal 3/2 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 4/3 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(.f32 (.f32 tau (*.f32 (PI.f32) (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 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 (.f32 (.f32 tau (.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 (.f32 (.f32 tau (.f32 (PI.f32) (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 (.f32 (PI.f32) (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 3/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 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 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))

simplify315.0ms (2.2%)

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	3147
1	928	2878
2	4077	2764
0	8092	2764

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

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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(/.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)))))
(* 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 (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))

eval130.0ms (0.9%)

Compiler: Compiled 34026 to 2419 computations (92.9% saved)

prune172.0ms (1.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1326	30	1356
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1328	30	1358

Accuracy

99.9%

Counts

1358 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 3 binary32))) (.f32 #s(literal 2 binary32) (+.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 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 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)))))
▶	68.4%	(/.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)))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
▶	98.0%	(/.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)))))
	69.3%	(/.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 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) #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))))))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) x)
	96.9%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))) x)
	62.8%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.3%	(/.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)))))
	96.9%	(/.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)))))
	79.1%	(/.f32 (.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))))))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.3%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
▶	97.6%	(/.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)))))
	64.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	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)))))))))
	79.1%	(+.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))))))
▶	79.6%	(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	85.1%	(.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)))))))
	70.4%	(.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))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	97.1%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.3%	(.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 1/2 binary32) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (*.f32 x tau))))))
	80.1%	(.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))))
▶	63.2%	#s(literal 1 binary32)

Compiler

Compiled 1752 to 960 computations (45.2% saved)

simplify316.0ms (2.2%)

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

Rules

4826×	`-lowering-.f32`
4826×	`-lowering-.f64`
2544×	`/-lowering-/.f32`
2544×	`/-lowering-/.f64`
1892×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	435
1	156	416
2	540	396
3	2761	388
4	3592	383
5	5688	383
6	7975	383
0	8015	383

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize329.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) tau))
✓	accuracy	98.7%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 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)))))
✓	accuracy	98.6%	(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
✓	accuracy	69.6%	(-.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%	(/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.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)))))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.7%	(/.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))
✓	accuracy	98.6%	(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	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)))))

Results

211.0ms

256×

valid

Compiler

Compiled 476 to 47 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 43.0ms (47.6% of total)

ival-div: 16.0ms (17.7% of total)

ival-cos: 10.0ms (11.1% of total)

ival-sin: 9.0ms (10% of total)

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

ival-add: 3.0ms (3.3% of total)

ival-sub: 3.0ms (3.3% of total)

ival-pi: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

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

series56.0ms (0.4%)

Counts

22 → 408

Calls

Call 1

Inputs
#<alt (/ (/ (sin (* x (PI))) (* x (PI))) (/ (* (PI) (* x tau)) (sin (* (PI) (* x tau)))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (/ (* x (+ (* tau (PI)) (* (* x x) (* (* (PI) (* (PI) (PI))) (* (* -1/6 (* tau tau)) tau))))) (* (* x (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))))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* x (+ (* tau (PI)) (* (* x x) (* (* (PI) (* (PI) (PI))) (* (* -1/6 (* tau tau)) tau)))))>
#<alt (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (PI)))))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* (PI) (* x tau))>
#<alt (PI)>
#<alt (/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2) (* x (* x (* (PI) (* (PI) tau)))))>
#<alt (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2)>
#<alt (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1)))))>
#<alt (cos (* (* x (PI)) (- tau 1)))>
#<alt (* (PI) (PI))>
#<alt (* -1/6 (* tau tau))>
#<alt (* (PI) (* x (* (PI) (* x tau))))>
#<alt (/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (PI))))>
#<alt (* (PI) (+ tau 1))>
#<alt (* (PI) (* (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 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 (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow 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>
#<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 (* 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 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 (* 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))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* tau (PI)) (pow x 2))) (* 1/6 (* (pow tau 3) (pow (PI) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* tau (PI)) (pow x 2))) (* 1/6 (* (pow tau 3) (pow (PI) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (* tau (PI)) (pow x 2))) (* 1/6 (* (pow tau 3) (pow (PI) 3))))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* -1/6 (* (pow tau 3) (* (pow x 3) (pow (PI) 3))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
#<alt (* -1/6 (* (pow tau 3) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt 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))))>
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#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (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 (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>

Calls

102 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2) (* x (* x (* (PI) (* (PI) tau)))))
2.0ms	tau	@	inf	(* -1/6 (* tau tau))
2.0ms	tau	@	-inf	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2) (* x (* x (* (PI) (* (PI) tau)))))
1.0ms	tau	@	inf	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2) (* x (* x (* (PI) (* (PI) tau)))))
1.0ms	tau	@	0	(/ (/ (- (cos (* (* x (PI)) (- tau 1))) (cos (* x (* (PI) (+ tau 1))))) 2) (* x (* x (* (PI) (* (PI) tau)))))

rewrite569.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

3932×	`-lowering-.f32`
3932×	`-lowering-.f64`
3788×	`/-lowering-/.f32`
3788×	`/-lowering-/.f64`
1402×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	269
1	283	243
2	2411	237
0	8343	237

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 897

Calls

Call 1

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

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

simplify451.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

8194×	`-lowering-.f32`
8194×	`-lowering-.f64`
2780×	`+-lowering-+.f64`
2780×	`+-lowering-+.f32`
1920×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	551	7234
1	2002	6198
0	8495	6198

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
(+ 1 (* -1/6 (* (pow 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)))
(* 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 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* 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))))
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 (* 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))))
(* -1/6 (* (pow tau 3) (* (pow x 3) (pow (PI) 3))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))
(* -1/6 (* (pow tau 3) (* (pow x 3) (pow (PI) 3))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (* x (PI)) (pow tau 2))) (* 1/6 (* (pow x 3) (pow (PI) 3))))))
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))))
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(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
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(- (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)))))
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(+ 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))))))))
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(* tau (* x (PI)))
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(* x (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3)))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
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(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* x (PI))))
(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)))))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))

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

eval304.0ms (2.1%)

Compiler: Compiled 87435 to 7122 computations (91.9% saved)

prune466.0ms (3.2%)

Pruning

51 alts after pruning (50 fresh and 1 done)

	Pruned	Kept	Total
New	2463	35	2498
Fresh	10	15	25
Picked	4	1	5
Done	0	0	0
Total	2477	51	2528

Accuracy

99.9%

Counts

2528 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 3 binary32))) (+.f32 (+.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 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (+.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	68.4%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) #s(literal 2 binary32)) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	52.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) #s(literal -1/2 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)))))
	68.5%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (PI.f32))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	68.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x #s(literal 2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
	33.5%	(/.f32 (/.f32 (-.f32 #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)))))
	84.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.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)))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 x tau)))))
▶	98.0%	(/.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)))))
	66.5%	(/.f32 (-.f32 (.f32 (/.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))))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
	84.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) x)
	62.8%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	62.8%	(/.f32 (.f32 (.f32 x x) (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau)))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	96.3%	(/.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)))))
	96.9%	(/.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)))))
	62.9%	(/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
	96.3%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
	96.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
	84.4%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
▶	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
▶	96.3%	(/.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
	96.5%	(/.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 (.f32 (PI.f32) (log.f32 (E.f32)))))))
	84.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau #s(literal 1/6 binary32))))))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32))))
	64.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	70.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	68.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
	80.8%	(+.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 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (*.f32 tau 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)))))))))
▶	79.1%	(+.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)))))
	68.3%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1/2 binary32) x))
	78.9%	(.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 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (PI.f32))))
	79.2%	(.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 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	69.5%	(.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)) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	85.1%	(.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)))))))
	70.4%	(.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))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.4%	(.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
	80.1%	(.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))))
	79.5%	(.f32 (.f32 (/.f32 (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32)))))) (.f32 x (PI.f32))) (/.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	79.3%	(.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))))
	4.2%	(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
✓	63.2%	#s(literal 1 binary32)

Compiler

Compiled 2991 to 1679 computations (43.9% saved)

simplify232.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
✓	cost-diff	128	(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.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))))))))
✓	cost-diff	0	(+.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)))))))))
✓	cost-diff	128	(+.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))))
✓	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 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
✓	cost-diff	256	(/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.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))))
✓	cost-diff	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)))))
✓	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 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Rules

3730×	`-lowering-.f32`
3730×	`-lowering-.f64`
2596×	`+-lowering-+.f64`
2596×	`+-lowering-+.f32`
2128×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	444
1	169	419
2	645	404
3	3288	404
4	7663	404
0	8028	404

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (sin (* x (PI))) (* x (PI))) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))
(* x (* (PI) tau))
(* (PI) tau)
tau
(sin (* x (* (PI) tau)))
(+ 1 (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))))
1
(* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* x x)
x
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(PI)
(+ (* -1/6 (* tau tau)) -1/6)
(* -1/6 (* tau tau))
-1/6
(* tau tau)
tau
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI)))
(* (PI) (* x (* (PI) (* x tau))))
(* x (* (PI) (* x tau)))
(* x (PI))
(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
1
(* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))))
(* x x)
x
(+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))
(* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau))))
(* (PI) (PI))
(PI)
(+ -1/6 (* -1/6 (* tau tau)))
-1/6
(* -1/6 (* tau tau))
(* tau tau)
tau
(* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))
(* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))
(pow (PI) 4)
4
(+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))
(* 1/120 (* (* tau tau) (* tau tau)))
1/120
(* (* tau tau) (* tau tau))
(+ 1/120 (* (* tau tau) 1/36))
(* (* tau tau) 1/36)
1/36
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (- (+ 1 (PI)) 1)))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (- (+ 1 (PI)) 1))))
(* (PI) (* x (* (PI) (* x tau))))
(* x (* (PI) (* x tau)))
(sin (* x (- (+ 1 (PI)) 1)))
(* x (- (+ 1 (PI)) 1))
(- (+ 1 (PI)) 1)
(+ 1 (PI))
1

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

localize387.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(/.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
✓	accuracy	96.9%	(-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))
✓	accuracy	96.9%	(+.f32 #s(literal 1 binary32) (PI.f32))
✓	accuracy	98.3%	(.f32 (.f32 tau tau) (*.f32 tau tau))
✓	accuracy	98.0%	(.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	95.0%	(pow.f32 (PI.f32) #s(literal 4 binary32))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32)))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
✓	accuracy	99.0%	(.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))))
✓	accuracy	98.7%	(.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))
✓	accuracy	98.6%	(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	99.0%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.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 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Results

281.0ms

256×

valid

Compiler

Compiled 561 to 51 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 32.0ms (26.6% of total)

ival-pow: 24.0ms (20% of total)

ival-sin: 22.0ms (18.3% of total)

ival-div: 17.0ms (14.1% of total)

...c/correct-round.rkt:119:19: 12.0ms (10% of total)

ival-add: 10.0ms (8.3% of total)

ival-pi: 1.0ms (0.8% of total)

ival-sub: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series22.0ms (0.2%)

Counts

25 → 384

Calls

Call 1

Inputs
#<alt (/ (/ (sin (* x (PI))) (* x (PI))) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (+ 1 (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))))>
#<alt (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))>
#<alt (* x x)>
#<alt (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))>
#<alt (/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI)))>
#<alt (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI))))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* (PI) (* x tau))>
#<alt (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))>
#<alt (+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))>
#<alt (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))))>
#<alt (- (+ 1 (PI)) 1)>
#<alt (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (- (+ 1 (PI)) 1)))))>
#<alt (* (PI) tau)>
#<alt (* (PI) (PI))>
#<alt (* -1/6 (* tau tau))>
#<alt (* (PI) (* x (* (PI) (* x tau))))>
#<alt (pow (PI) 4)>
#<alt (* 1/120 (* (* tau tau) (* tau tau)))>
#<alt (* (* tau tau) (* tau tau))>
#<alt (+ 1 (PI))>

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

Calls

96 calls:

Time	Variable		Point	Expression
1.0ms	tau	@	inf	(+ 1 (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))))
1.0ms	tau	@	0	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
1.0ms	x	@	inf	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
1.0ms	x	@	0	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
1.0ms	x	@	inf	(* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))))

rewrite359.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4364×	`-lowering-.f32`
4364×	`-lowering-.f64`
1976×	`pow-lowering-pow.f64`
1976×	`pow-lowering-pow.f32`
1860×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	243
1	346	226
2	3231	215
0	8378	215

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 615

Calls

Call 1

Inputs
(/ (/ (sin (* x (PI))) (* x (PI))) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(+ 1 (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))))
(* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* x x)
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI)))
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (* x (PI))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))
(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
(* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))))
(- (+ 1 (PI)) 1)
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x (* (PI) (* x tau)))) (sin (* x (- (+ 1 (PI)) 1)))))
(* (PI) tau)
(* (PI) (PI))
(* -1/6 (* tau tau))
(* (PI) (* x (* (PI) (* x tau))))
(pow (PI) 4)
(* 1/120 (* (* tau tau) (* tau tau)))
(* (* tau tau) (* tau tau))
(+ 1 (PI))

Outputs
(neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (PI.f32)) (neg.f32 tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (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 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.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)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) #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 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (.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))))))
(/.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 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (/.f32 (.f32 (.f32 x (PI.f32)) (neg.f32 tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.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))))))
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(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 12 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 8 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (PI.f32)))
(cbrt.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 8 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 8 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))
(.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))
(.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))
(.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/120 binary32))
(.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) (.f32 tau tau))
(.f32 (.f32 tau (.f32 tau tau)) (.f32 tau #s(literal 1/120 binary32)))
(.f32 (.f32 #s(literal 1/120 binary32) tau) (.f32 tau (.f32 tau tau)))
(.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau tau))) tau)
(.f32 (.f32 (.f32 (.f32 tau tau) #s(literal 1/120 binary32)) tau) tau)
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 tau)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 tau) #s(literal 4 binary32)))
(exp.f32 (+.f32 (.f32 #s(literal 2 binary32) (log.f32 tau)) (.f32 #s(literal 2 binary32) (log.f32 tau))))
(pow.f32 tau #s(literal 4 binary32))
(pow.f32 (*.f32 tau tau) #s(literal 2 binary32))
(pow.f32 (.f32 tau (.f32 tau (*.f32 tau tau))) #s(literal 1 binary32))
(.f32 tau (.f32 tau (*.f32 tau tau)))
(.f32 (.f32 tau tau) (*.f32 tau tau))
(.f32 (.f32 tau (*.f32 tau tau)) tau)
(exp.f32 (log1p.f32 (PI.f32)))
(+.f32 (PI.f32) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (PI.f32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (PI.f32) #s(literal 1 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (+.f32 (PI.f32) #s(literal -1 binary32)))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (PI.f32) (+.f32 (PI.f32) #s(literal -1 binary32))))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))))

simplify303.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5136×	`+-lowering-+.f64`
5136×	`+-lowering-+.f32`
4970×	`-lowering-.f32`
4970×	`-lowering-.f64`
1250×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	5743
1	1015	4842
2	4275	4598
0	8131	4598

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

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

eval131.0ms (0.9%)

Compiler: Compiled 41549 to 2972 computations (92.8% saved)

prune222.0ms (1.5%)

Pruning

75 alts after pruning (71 fresh and 4 done)

	Pruned	Kept	Total
New	1299	33	1332
Fresh	7	38	45
Picked	2	3	5
Done	0	1	1
Total	1308	75	1383

Accuracy

99.9%

Counts

1383 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.1%	(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 3 binary32))) (+.f32 (+.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 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (+.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	52.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) #s(literal -1/2 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)))))
	68.5%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (PI.f32))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	68.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x #s(literal 2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
	33.5%	(/.f32 (/.f32 (-.f32 #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)))))
	96.3%	(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) x)) (cos.f32 (.f32 #s(literal -1 binary32) x))) (.f32 (cos.f32 (.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) x)) (sin.f32 (.f32 #s(literal -1 binary32) x)))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	84.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.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)))))
	84.6%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.7%	(/.f32 (/.f32 (sin.f32 (+.f32 (.f32 x #s(literal 1 binary32)) (.f32 x (+.f32 (PI.f32) #s(literal -1 binary32))))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 x tau)))))
✓	98.0%	(/.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)))))
	66.5%	(/.f32 (-.f32 (.f32 (/.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))))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
	84.3%	(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))) #s(literal 1 binary32)))
	84.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
▶	84.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) x)
	96.3%	(/.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)))))
	70.1%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau))
	96.9%	(/.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)))))
	69.3%	(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
	69.3%	(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
	62.9%	(/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
	97.1%	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	70.0%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (*.f32 x (PI.f32))))
▶	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
	96.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
	84.4%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
	96.5%	(/.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 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 1 binary32))))))
✓	96.3%	(/.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
	70.1%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) x)))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 x (PI.f32)) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))))
	84.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau #s(literal 1/6 binary32))))))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32))))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32))))
	70.1%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) x)))
	70.4%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
	64.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	84.2%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))))))
	70.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	68.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
▶	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
	84.9%	(+.f32 (.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 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) #s(literal 1 binary32)))
	85.2%	(+.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32))
	79.1%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))
	85.2%	(+.f32 #s(literal 1 binary32) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (.f32 x x)))
	79.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	80.8%	(+.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 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))
	84.7%	(+.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 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
	80.9%	(+.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 tau tau) (.f32 (*.f32 tau tau) #s(literal 1/120 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 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.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)))))))))
✓	79.1%	(+.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)))))
	64.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
	69.7%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
	69.7%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
▶	64.3%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	68.3%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1/2 binary32) x))
	78.9%	(.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 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (PI.f32))))
	79.2%	(.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 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	69.5%	(.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)) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	85.1%	(.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)))))))
	70.4%	(.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))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.4%	(.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
	84.3%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))))))
	80.1%	(.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))))
	13.9%	(.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (+.f32 #s(literal 1/36 binary32) (.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))))
	4.2%	(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	4.1%	(.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	13.7%	(.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 x x) (*.f32 x x)))))
✓	63.2%	#s(literal 1 binary32)

Compiler

Compiled 4946 to 2516 computations (49.1% saved)

simplify326.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f32)
✓	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 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (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	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(.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)))))
✓	cost-diff	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))))))
✓	cost-diff	128	(+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))
✓	cost-diff	256	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
✓	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	(.f32 (.f32 x (PI.f32)) tau)
✓	cost-diff	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))

Rules

4440×	`-lowering-.f32`
4440×	`-lowering-.f64`
1878×	`*-commutative`
1818×	`+-lowering-+.f64`
1818×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	489
1	167	437
2	638	414
3	3282	410
4	6663	410
5	7674	410
6	7737	410
7	7754	410
8	7756	410
0	8888	410

Stop Event

1×	iter limit
1×	node limit

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))) x)
(sin (* x (PI)))
(+ 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 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))) (* (* x x) (* (* x x) (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))))))))
(+ 1 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau))))))
1
(* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))
(* x x)
x
(* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau))))
(* (PI) (PI))
(PI)
(+ -1/6 (* -1/6 (* tau tau)))
-1/6
(* -1/6 (* tau tau))
(* tau tau)
tau
(* (* x x) (* (* x x) (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau))))))))))
(* (* x x) (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))))))
(* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau))))))))
(* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))))
(+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau))))))
1/120
(+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))
(* tau (* tau 1/36))
(* tau 1/36)
1/36
(* 1/120 (* tau (* tau (* tau tau))))
(* tau (* tau (* tau tau)))
(* tau (* tau tau))
(/ (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) (/ (* x (* (PI) tau)) (sin (* 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)
(/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))
(* x (* (PI) tau))
(* (PI) tau)
tau
(sin (* x (* (PI) tau)))
(/ (sin (* (PI) (* x tau))) (/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI)))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI))))
(* (* (* x (PI)) x) (* (PI) tau))
(* (* x (PI)) x)
(* x (PI))
(* (PI) tau)
(sin (* x (PI)))

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

localize433.0ms (3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
✓	accuracy	99.1%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	99.0%	(*.f32 (PI.f32) tau)
✓	accuracy	98.6%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	98.6%	(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))
✓	accuracy	98.6%	(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
✓	accuracy	98.0%	(.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))
✓	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	99.8%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	99.2%	(.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 (sin.f32 (*.f32 x (PI.f32))) x)
✓	accuracy	99.0%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.6%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))

Results

318.0ms

256×

valid

Compiler

Compiled 567 to 52 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-div: 67.0ms (38.3% of total)

ival-mult: 43.0ms (24.6% of total)

...c/correct-round.rkt:119:19: 39.0ms (22.3% of total)

ival-sin: 17.0ms (9.7% of total)

ival-add: 7.0ms (4% of total)

ival-pi: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

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

series35.0ms (0.2%)

Counts

28 → 468

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 (+ 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 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))) (* (* x x) (* (* x x) (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))))))))>
#<alt (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))>
#<alt (+ 1 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau))))))>
#<alt (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))>
#<alt (/ (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))>
#<alt (/ (sin (* (PI) (* x tau))) (/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI)))))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* (PI) (* x tau))>
#<alt (PI)>
#<alt (/ (/ (sin (* x (PI))) x) (PI))>
#<alt (* x (PI))>
#<alt (/ (sin (* x (PI))) x)>
#<alt (* (PI) (PI))>
#<alt (* 1/120 (* tau (* tau (* tau tau))))>
#<alt (* -1/6 (* tau tau))>
#<alt (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau))))))))>
#<alt (* (PI) tau)>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (* (* x (PI)) x) (* (PI) tau))>
#<alt (/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI))))>

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

Calls

117 calls:

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

rewrite451.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
2674×	`/-lowering-/.f32`
2674×	`/-lowering-/.f64`
2054×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	285
1	322	253
2	2833	239
0	8524	239

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 1011

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)
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
(+ (+ 1 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))) (* (* x x) (* (* x x) (* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))))))))
(+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau)))))
(+ 1 (* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau))))))
(* (* x x) (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))))
(/ (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(/ (sin (* (PI) (* x tau))) (/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI)))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(/ (/ (sin (* x (PI))) x) (PI))
(* x (PI))
(/ (sin (* x (PI))) x)
(* (PI) (PI))
(* 1/120 (* tau (* tau (* tau tau))))
(* -1/6 (* tau tau))
(* (* (PI) (PI)) (* (* (PI) (PI)) (+ 1/120 (+ (* tau (* tau 1/36)) (* 1/120 (* tau (* tau (* tau tau))))))))
(* (PI) tau)
(sin (* x (* (PI) tau)))
(* (* (* x (PI)) x) (* (PI) tau))
(/ (* (* (* x (PI)) x) (* (PI) tau)) (sin (* x (PI))))

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

simplify385.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5558×	`-lowering-.f32`
5558×	`-lowering-.f64`
2014×	`+-lowering-+.f64`
2014×	`+-lowering-+.f32`
2000×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	6902
1	1441	5907
2	6274	5706
0	8038	5706

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

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

eval661.0ms (4.6%)

Compiler: Compiled 93124 to 6564 computations (93% saved)

prune919.0ms (6.4%)

Pruning

110 alts after pruning (105 fresh and 5 done)

	Pruned	Kept	Total
New	2587	52	2639
Fresh	13	53	66
Picked	3	2	5
Done	1	3	4
Total	2604	110	2714

Accuracy

99.9%

Counts

2714 → 110

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(fma.f32 (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) x #s(literal 1 binary32))
	68.1%	(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 3 binary32))) (+.f32 (+.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 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) (+.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	52.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) #s(literal -1/2 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)))))
	84.9%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	68.5%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (PI.f32))))) #s(literal 2 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	68.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x #s(literal 2 binary32))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
	33.5%	(/.f32 (/.f32 (-.f32 #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)))))
	96.3%	(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) x)) (cos.f32 (.f32 #s(literal -1 binary32) x))) (.f32 (cos.f32 (.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) x)) (sin.f32 (.f32 #s(literal -1 binary32) x)))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	84.9%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	84.8%	(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	84.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.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)))))
	97.7%	(/.f32 (/.f32 (sin.f32 (+.f32 (.f32 x #s(literal 1 binary32)) (.f32 x (+.f32 (PI.f32) #s(literal -1 binary32))))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (PI.f32)))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (.f32 x (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 x tau)))))
	84.9%	(/.f32 (/.f32 #s(literal 1 binary32) (/.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 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	66.5%	(/.f32 (-.f32 (.f32 (/.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))))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
	64.3%	(/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	64.3%	(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)))) (.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 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
	84.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	64.3%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))))
	84.8%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))))))
	84.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	79.1%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))
	64.2%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (.f32 x (PI.f32)))))
	83.9%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) tau)))))
	84.5%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 tau (.f32 x (PI.f32))))))
	97.2%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) x)
	84.6%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) tau)
	70.1%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) tau)))
	69.3%	(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
	62.9%	(/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
	97.1%	(/.f32 (sin.f32 (.f32 (.f32 (PI.f32) tau) x)) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
	70.0%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) tau) (*.f32 x (PI.f32))))
✓	97.3%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (.f32 x (PI.f32)) x) (.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
	96.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
	84.4%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
	96.5%	(/.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 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 1 binary32))))))
✓	96.3%	(/.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))
	70.1%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 x (PI.f32)) (PI.f32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) x)))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (/.f32 (.f32 x (PI.f32)) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (PI.f32))))
	97.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32)))))))
	84.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau #s(literal 1/6 binary32))))))
	84.5%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (.f32 x x)))))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (PI.f32))))
	70.2%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (PI.f32))))
	70.1%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 x tau))) x)))
	70.4%	(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
	64.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	84.7%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))))
	84.2%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))))))
	64.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.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 x)) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
	70.4%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	68.3%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
	84.3%	(+.f32 (/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	84.1%	(+.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
	84.2%	(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	84.3%	(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	84.1%	(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	84.3%	(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	84.9%	(+.f32 (+.f32 (.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))
	85.1%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32))))) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
	85.1%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (.f32 (PI.f32) (PI.f32))))))
	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (/.f32 (-.f32 (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)) (.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau (.f32 tau tau)))))) (-.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))))))))))
	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (/.f32 (+.f32 (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/46656 binary32))) (.f32 (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/1728000 binary32)) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 tau tau) (.f32 tau (.f32 tau (.f32 tau tau))))))) (+.f32 (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (-.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (.f32 tau (*.f32 tau #s(literal 1/36 binary32)))))))))))))
	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (-.f32 (/.f32 (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)) (-.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))) (/.f32 (.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) (.f32 tau (.f32 tau (.f32 tau tau))))) (-.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))))))))))
	80.7%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
	85.1%	(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/120 binary32)))))))))))
	84.3%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
	85.2%	(+.f32 (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))) #s(literal 1 binary32))
	84.3%	(+.f32 (.f32 (.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
	85.2%	(+.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32))
	79.1%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))
	64.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
	79.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	64.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32)))
	64.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32))))
	80.8%	(+.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 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))
	84.7%	(+.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 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
	80.9%	(+.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 tau tau) (.f32 (*.f32 tau tau) #s(literal 1/120 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 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.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)))))))))
✓	79.1%	(+.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)))))
	69.7%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
	69.7%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
	64.3%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32))))))
	80.2%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) (.f32 tau (.f32 tau (.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))))))))))
	68.3%	(.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1/2 binary32) x))
	85.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
	79.2%	(.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 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	69.5%	(.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)) #s(literal 1 binary32))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) x) (PI.f32)))
	97.7%	(.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)) x))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)))
	70.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
	97.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	68.4%	(.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) tau)))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x x) tau))))
	84.3%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))))))
	80.1%	(.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))))
	85.0%	(.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) tau))))
	13.9%	(.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (+.f32 #s(literal 1/36 binary32) (.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))))
	4.2%	(.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	84.9%	(.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)))))
	4.3%	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
	63.9%	(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	13.7%	(.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 (.f32 x x) (*.f32 x x)))))
✓	63.2%	#s(literal 1 binary32)

Compiler

Compiled 9937 to 2830 computations (71.5% saved)

regimes248.0ms (1.7%)

Counts

152 → 1

Calls

Call 1

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

67.0ms	(*.f32 x (PI.f32))
46.0ms	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
44.0ms	x
44.0ms	tau

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes204.0ms (1.4%)

Counts

109 → 1

Calls

Call 1

Inputs
#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 x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
(+.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 (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.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 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (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 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau 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 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau 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))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.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 -1/6 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) (.f32 tau (.f32 tau (.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 (.f32 x x) (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau)))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #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 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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))
(+.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 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.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 #s(literal 1 binary32) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))) #s(literal 1 binary32))
(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) #s(literal 1/120 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 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (PI.f32))))
(+.f32 (.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 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) #s(literal 1 binary32)))
(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
(+.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 x x) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (.f32 (PI.f32) (PI.f32))))))
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(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
(+.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 tau tau) (.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))))
(.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32))))))) (/.f32 (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 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32)))))) (.f32 x (PI.f32))) (/.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 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))))))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(+.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) #s(literal -1/2 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 #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 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))) #s(literal 1 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 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.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 binary32) (/.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 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))

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

Calls

3 calls:

59.0ms	tau
44.0ms	(*.f32 x (PI.f32))
41.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes102.0ms (0.7%)

Counts

106 → 1

Calls

Call 1

Inputs
#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 x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
(+.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 (.f32 x (.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(.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 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.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 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (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 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau 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 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (.f32 tau (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau tau) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau 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))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.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 -1/6 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 x x) (.f32 tau (.f32 tau (.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 (.f32 x x) (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau)))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau)))))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #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 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 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 (.f32 tau (.f32 (.f32 x x) tau)) x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))
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(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) x) (/.f32 (.f32 (PI.f32) tau) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (+.f32 #s(literal 1/36 binary32) (.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (.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 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) tau))) (.f32 x x)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau #s(literal 1/6 binary32))))))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (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 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau)))) (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
(/.f32 (/.f32 (.f32 x (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.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 #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 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))
(+.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 tau tau) (.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))))
(.f32 (.f32 x (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32))))))) (/.f32 (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 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) tau) (.f32 (.f32 (.f32 (PI.f32) tau) tau) (PI.f32)))))) (.f32 x (PI.f32))) (/.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 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))))))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(+.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) #s(literal -1/2 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 #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 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))) #s(literal 1 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 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))))))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) (.f32 (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))))))) (+.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) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau (*.f32 tau tau)))))))))))))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.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 binary32) (/.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 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1/36 binary32))))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))))))

Outputs

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

Calls

3 calls:

34.0ms	tau
31.0ms	(*.f32 x (PI.f32))
28.0ms	x

Results

Accuracy	Segments	Branch
85.2%	1	`x`
85.2%	1	`(*.f32 x (PI.f32))`
85.2%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

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

Outputs

(+.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 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.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)))))))))

Calls

2 calls:

9.0ms	tau
8.0ms	x

Results

Accuracy	Segments	Branch
85.2%	1	`x`
85.2%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes193.0ms (1.3%)

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

180.0ms	tau
9.0ms	x

Results

Accuracy	Segments	Branch
80.7%	1	`x`
80.7%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

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

2 calls:

23.0ms	x
7.0ms	tau

Results

Accuracy	Segments	Branch
80.2%	1	`x`
80.2%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	tau
6.0ms	x

Results

Accuracy	Segments	Branch
79.1%	1	`x`
79.1%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	tau
5.0ms	x

Results

Accuracy	Segments	Branch
79.1%	1	`tau`
79.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

2 calls:

13.0ms	tau
4.0ms	x

Results

Accuracy	Segments	Branch
79.1%	1	`tau`
79.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	tau
4.0ms	x

Results

Accuracy	Segments	Branch
69.7%	1	`tau`
69.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	tau
3.0ms	x

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	tau
2.0ms	x

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

#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:

2.0ms	tau
2.0ms	x

Results

Accuracy	Segments	Branch
64.3%	1	`x`
64.3%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -19.1b remaining (-162%)

Threshold costs -19.1b (-162%)

Counts

2 → 1

Calls

Call 1

Inputs
#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:

1.0ms	tau
1.0ms	x

Results

Accuracy	Segments	Branch
63.2%	1	`x`
63.2%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

144×	`*-commutative_binary32`
72×	`+-commutative_binary32`
44×	`neg-mul-1_binary32`
36×	`unsub-neg_binary32`
34×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	350
1	200	350
2	226	350
3	248	350
4	286	350
5	335	350
6	349	350
7	357	350
8	358	350

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

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

soundness2.7s (18.9%)

Rules

8194×	`-lowering-.f32`
8194×	`-lowering-.f64`
6030×	`-lowering-.f32`
6030×	`-lowering-.f64`
5558×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	6902
1	1441	5907
2	6274	5706
0	8038	5706
0	551	7234
1	2002	6198
0	8495	6198
0	46	269
1	283	243
2	2411	237
0	8343	237
0	50	243
1	346	226
2	3231	215
0	8378	215
0	51	285
1	322	253
2	2833	239
0	8524	239
0	288	5743
1	1015	4842
2	4275	4598
0	8131	4598
0	19	103
1	109	98
2	853	96
3	7910	96
0	8005	96
0	263	3147
1	928	2878
2	4077	2764
0	8092	2764

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
1×	iter limit
1×	node limit

Compiler

Compiled 856 to 437 computations (48.9% saved)

preprocess77.0ms (0.5%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1486 to 548 computations (63.1% saved)

Iter	Nodes	Cost
0	104	350
1	200	350
2	226	350
3	248	350
4	286	350
5	335	350
6	349	350
7	357	350
8	358	350

Iter	Nodes	Cost
0	104	350
1	200	350
2	226	350
3	248	350
4	286	350
5	335	350
6	349	350
7	357	350
8	358	350

analyze33.0ms (0.2%)

sample1.8s (12.4%)

preprocess86.0ms (0.6%)

explain147.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.2%)

localize152.0ms (1.1%)

series34.0ms (0.2%)

rewrite375.0ms (2.6%)

simplify315.0ms (2.2%)

eval130.0ms (0.9%)

prune172.0ms (1.2%)

simplify316.0ms (2.2%)

localize329.0ms (2.3%)

series56.0ms (0.4%)

rewrite569.0ms (4%)

simplify451.0ms (3.1%)

eval304.0ms (2.1%)

prune466.0ms (3.2%)

simplify232.0ms (1.6%)

localize387.0ms (2.7%)

series22.0ms (0.2%)

rewrite359.0ms (2.5%)

simplify303.0ms (2.1%)

eval131.0ms (0.9%)

prune222.0ms (1.5%)

simplify326.0ms (2.3%)

localize433.0ms (3%)

series35.0ms (0.2%)

rewrite451.0ms (3.1%)

simplify385.0ms (2.7%)

eval661.0ms (4.6%)

prune919.0ms (6.4%)

regimes248.0ms (1.7%)

regimes204.0ms (1.4%)

regimes102.0ms (0.7%)

regimes25.0ms (0.2%)

regimes193.0ms (1.3%)

regimes33.0ms (0.2%)

regimes18.0ms (0.1%)

regimes12.0ms (0.1%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

regimes19.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify28.0ms (0.2%)

soundness2.7s (18.9%)

preprocess77.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	104	350
1	200	350
2	226	350
3	248	350
4	286	350
5	335	350
6	349	350
7	357	350
8	358	350