Metrics for Lanczos kernel

analyze29.0ms (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: 20.0ms

ival-sin: 6.0ms (30.7% of total)

ival-mult: 4.0ms (20.5% of total)

...c/correct-round.rkt:119:19: 3.0ms (15.4% of total)

ival-<=: 3.0ms (15.4% of total)

ival-div: 2.0ms (10.2% of total)

ival-pi: 1.0ms (5.1% of total)

ival-and: 1.0ms (5.1% of total)

const: 0.0ms (0% of total)

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

sample1.7s (11.1%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sin: 264.0ms (25.6% of total)

ival-mult: 227.0ms (22% of total)

...c/correct-round.rkt:119:19: 195.0ms (18.9% of total)

ival-<=: 147.0ms (14.2% of total)

ival-div: 117.0ms (11.3% of total)

ival-pi: 46.0ms (4.5% of total)

ival-and: 25.0ms (2.4% of total)

const: 8.0ms (0.8% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess89.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	106	136
2	488	128
3	2592	110
4	5365	110
0	10	21
1	23	21
2	80	21
3	284	18
4	679	18
5	1059	18
6	1090	18
7	1090	18
0	1090	18

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs x)

(abs tau)

explain116.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.4112803339958191 2.4074487686157227)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`

Results

67.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sin: 17.0ms (40.5% of total)

ival-mult: 15.0ms (35.8% of total)

ival-div: 7.0ms (16.7% of total)

ival-pi: 2.0ms (4.8% of total)

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 23 to 12 computations (47.8% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.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)))))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Status

Accuracy

Program

▶

97.2%

(/.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)))))

▶

98.0%

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

Compiler

Compiled 46 to 22 computations (52.2% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

672×	`times-frac`
578×	`-lowering-.f32`
578×	`-lowering-.f64`
548×	`associate-/r*`
540×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	134
1	48	134
2	156	125
3	571	124
4	1117	124
5	1200	124
6	1200	124
0	1200	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize87.0ms (0.6%)

Localize:

Found 8 expressions of interest:

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

Results

55.0ms

256×

valid

Compiler

Compiled 137 to 18 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 15.0ms (42.1% of total)

ival-sin: 11.0ms (30.9% of total)

ival-div: 8.0ms (22.5% of total)

ival-pi: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

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

series34.0ms (0.2%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 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 (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (PI) (* x (* (PI) tau)))))
2.0ms	x	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	inf	(* (* x (PI)) tau)
2.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite354.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

5240×	`-lowering-.f32`
5240×	`-lowering-.f64`
3704×	`/-lowering-/.f32`
3704×	`/-lowering-/.f64`
1578×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	108
1	101	108
2	778	101
3	7573	101
0	8437	101

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 898

Calls

Call 1

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

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

simplify365.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5212×	`-lowering-.f32`
5212×	`-lowering-.f64`
5120×	`+-lowering-+.f64`
5120×	`+-lowering-+.f32`
1244×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	3291
1	931	3010
2	4084	2896
0	8093	2896

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval153.0ms (1%)

Compiler: Compiled 38227 to 2749 computations (92.8% saved)

prune239.0ms (1.6%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	1494	36	1530
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1495	37	1532

Accuracy

99.7%

Counts

1532 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) x) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	67.9%	(/.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 (.f32 x (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 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (.f32 (cos.f32 (.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))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	69.1%	(/.f32 (/.f32 (-.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 #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 2 binary32) (+.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	97.1%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) tau) (.f32 (PI.f32) (.f32 x (*.f32 x (PI.f32)))))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) tau)
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	68.1%	(/.f32 (.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (.f32 x #s(literal 2 binary32)))
	62.0%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	96.6%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x tau)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	96.1%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) 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 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	95.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau))))))
	95.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (.f32 (.f32 x (PI.f32)) (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))))
▶	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (PI.f32))))))
	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)))))
▶	77.6%	(/.f32 (.f32 tau (.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
▶	97.9%	(/.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)))))
	62.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	83.9%	(+.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 #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)))))))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	97.2%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	78.3%	(.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))))
▶	97.2%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	96.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (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)))))))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (*.f32 x tau))))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	78.5%	(.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))))
▶	62.2%	#s(literal 1 binary32)

Compiler

Compiled 2059 to 1132 computations (45% saved)

simplify373.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))
✓	cost-diff	128	(sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau)))))
✓	cost-diff	128	(/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau))
✓	cost-diff	128	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) tau))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32))))
✓	cost-diff	0	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
✓	cost-diff	64	(+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
✓	cost-diff	64	(.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))
✓	cost-diff	64	(.f32 tau (.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))
✓	cost-diff	192	(/.f32 (.f32 tau (.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))

Rules

6484×	`-lowering-.f32`
6484×	`-lowering-.f64`
3818×	`fma-define`
3786×	`fma-lowering-fma.f32`
3786×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	396
1	149	386
2	633	372
3	3709	366
4	4538	360
5	4880	360
6	6355	360
7	6379	360
8	6396	360
9	6402	360
10	7400	360
11	7560	360
0	9011	360

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize301.0ms (2%)

Localize:

Found 16 expressions of interest:

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

Results

219.0ms

256×

valid

Compiler

Compiled 458 to 42 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 73.0ms (57.4% of total)

ival-div: 30.0ms (23.6% of total)

ival-sin: 16.0ms (12.6% of total)

...c/correct-round.rkt:119:19: 5.0ms (3.9% of total)

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

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

const: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Counts

24 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

rewrite443.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4232×	`-lowering-.f32`
4232×	`-lowering-.f64`
4218×	`/-lowering-/.f32`
4218×	`/-lowering-/.f64`
1242×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	258
1	262	235
2	2014	235
0	8220	235

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1781

Calls

Call 1

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

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

simplify458.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6598×	`-lowering-.f32`
6598×	`-lowering-.f64`
2018×	`+-lowering-+.f64`
2018×	`+-lowering-+.f32`
1914×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	7202
1	1541	6515
2	7143	6441
0	8609	6441

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

eval722.0ms (4.7%)

Compiler: Compiled 119433 to 8890 computations (92.6% saved)

prune439.0ms (2.9%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	3773	31	3804
Fresh	20	11	31
Picked	3	2	5
Done	0	1	1
Total	3796	45	3841

Accuracy

99.8%

Counts

3841 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
▶	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) tau)
	67.9%	(/.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 (.f32 x (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 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (.f32 (cos.f32 (.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))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) (.f32 x tau)))
	62.0%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	84.1%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
	69.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	95.9%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 x tau))))
	94.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32)) (*.f32 x tau))))
	95.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))))
✓	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x 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)))))
	84.5%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau)))))
	70.0%	(/.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)))))
	77.4%	(/.f32 (.f32 tau (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (.f32 tau (.f32 (.f32 x (PI.f32)) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	94.6%	(/.f32 (sin.f32 (.f32 x (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))
	97.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)))
▶	97.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x tau)) (PI.f32))))
	96.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau)))))
	78.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau (.f32 (.f32 x x) tau)) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
	62.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	97.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 tau (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))))
	75.3%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	83.9%	(+.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 #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)))))))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	79.2%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
▶	77.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))))
	97.3%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) tau) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))
	84.2%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x 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)))))))
	69.9%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
▶	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))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
✓	62.2%	#s(literal 1 binary32)

Compiler

Compiled 2441 to 1375 computations (43.7% saved)

simplify277.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5352×	`-lowering-.f32`
5352×	`-lowering-.f64`
4140×	`+-lowering-+.f64`
4140×	`+-lowering-+.f32`
2016×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	372
1	118	368
2	411	349
3	1709	347
4	3767	347
5	4823	346
6	7001	346
7	7176	346
8	7177	346
9	7177	346
10	7593	346
0	8349	346

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize217.0ms (1.4%)

Localize:

Found 20 expressions of interest:

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

Results

145.0ms

256×

valid

Compiler

Compiled 405 to 40 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 43.0ms (46.3% of total)

ival-mult: 27.0ms (29.1% of total)

ival-sin: 12.0ms (12.9% of total)

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

...c/correct-round.rkt:119:19: 4.0ms (4.3% of total)

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

const: 0.0ms (0% of total)

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

series34.0ms (0.2%)

Counts

22 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	tau	@	inf	(* -1/6 (* (* (+ (* tau tau) 1) (* (PI) (PI))) (* x x)))
2.0ms	x	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
1.0ms	tau	@	-inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
1.0ms	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
1.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))

rewrite439.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4660×	`-lowering-.f32`
4660×	`-lowering-.f64`
3660×	`/-lowering-/.f32`
3660×	`/-lowering-/.f64`
2314×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	215
1	255	206
2	2384	198
0	8612	198

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1500

Calls

Call 1

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

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

simplify347.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

6706×	`-lowering-.f32`
6706×	`-lowering-.f64`
3810×	`+-lowering-+.f64`
3810×	`+-lowering-+.f32`
1688×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	6210
1	1189	5380
2	5148	5187
0	8537	5187

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

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

eval435.0ms (2.8%)

Compiler: Compiled 97451 to 7618 computations (92.2% saved)

prune563.0ms (3.7%)

Pruning

78 alts after pruning (70 fresh and 8 done)

	Pruned	Kept	Total
New	3112	44	3156
Fresh	11	26	37
Picked	0	5	5
Done	0	3	3
Total	3123	78	3201

Accuracy

99.8%

Counts

3201 → 78

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(/.f32 (/.f32 (/.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))))) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	84.1%	(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	83.9%	(/.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	69.8%	(/.f32 (/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.4%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
	94.7%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) tau)
	69.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	67.9%	(/.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 (.f32 x (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 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (.f32 (cos.f32 (.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))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	84.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) tau)) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	90.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)))) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	84.4%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32))) tau)
	84.4%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x tau)) (PI.f32))
▶	84.4%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (.f32 (PI.f32) tau))
▶	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) (.f32 x tau)))
	62.0%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	69.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	94.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32)) (*.f32 x tau))))
	95.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))))
✓	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x 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)))))
	69.9%	(/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x tau)) (PI.f32))))
▶	77.4%	(/.f32 (.f32 tau (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (.f32 tau (.f32 (.f32 x (PI.f32)) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	94.6%	(/.f32 (sin.f32 (.f32 x (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))
	96.2%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (PI.f32))))
	96.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 x tau))) (.f32 x tau)) (PI.f32))))
▶	97.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)))
✓	97.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x tau)) (PI.f32))))
	84.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))))))
	97.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (.f32 x (.f32 x (.f32 (PI.f32) tau))))))
	62.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	75.3%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	83.5%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (.f32 tau (+.f32 (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))))))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))))) (.f32 x #s(literal -1/6 binary32))))
	83.9%	(+.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 (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))))
	68.5%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
	83.1%	(+.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 x (.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))))
	63.3%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	78.7%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 x (.f32 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))))))))))
✓	77.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x (.f32 x (PI.f32))))))
	63.3%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x x))))
	68.5%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
▶	63.3%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))
	97.3%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) tau) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	84.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	77.8%	(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))))) (.f32 (.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)))))))
	77.9%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.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)))))))
	84.0%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
	96.2%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))
	69.9%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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)))))))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	84.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (PI.f32)) x))
✓	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))
	90.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))))) x))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	84.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	84.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x tau) (PI.f32))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	84.3%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) tau))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (PI.f32)))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x tau)))
	84.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
	78.4%	(.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 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.9%	(.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	83.5%	(.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	4.4%	(.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))
✓	62.2%	#s(literal 1 binary32)

Compiler

Compiled 4435 to 2503 computations (43.6% saved)

simplify397.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) (.f32 x tau)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	cost-diff	0	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) x)
✓	cost-diff	0	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (.f32 (PI.f32) tau))
✓	cost-diff	64	(+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))
✓	cost-diff	64	(.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))
✓	cost-diff	64	(.f32 tau (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))
✓	cost-diff	256	(/.f32 (.f32 tau (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)))

Rules

7374×	`-lowering-.f32`
7374×	`-lowering-.f64`
2848×	`+-lowering-+.f64`
2848×	`+-lowering-+.f32`
1940×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	514
1	169	488
2	703	473
3	4386	465
4	7464	463
0	8484	463

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize303.0ms (2%)

Localize:

Found 20 expressions of interest:

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

Results

162.0ms

256×

valid

Compiler

Compiled 594 to 51 computations (91.4% saved)

Precisions

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

ival-mult: 51.0ms (55.4% of total)

ival-div: 16.0ms (17.4% of total)

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

ival-add: 5.0ms (5.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.3% of total)

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

const: 0.0ms (0% of total)

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

series44.0ms (0.3%)

Counts

29 → 516

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* (* x (+ (PI) (* (* (* (* x x) -1/6) (PI)) (* (PI) (PI))))) (+ (* x (PI)) (* (* tau (* tau (* x (* x x)))) (* (* (PI) (* (PI) (PI))) -1/6))))
3.0ms	tau	@	inf	(/ (PI) (sin (* (PI) (* x tau))))
1.0ms	tau	@	0	(/ (* tau (* (* x (+ (PI) (* (* (* (* x x) -1/6) (PI)) (* (PI) (PI))))) (+ (* x (PI)) (* (* tau (* tau (* x (* x x)))) (* (* (PI) (* (PI) (PI))) -1/6))))) (* x (* (PI) (* x (* (PI) tau)))))
1.0ms	x	@	-inf	(/ (* tau (* (* x (+ (PI) (* (* (* (* x x) -1/6) (PI)) (* (PI) (PI))))) (+ (* x (PI)) (* (* tau (* tau (* x (* x x)))) (* (* (PI) (* (PI) (PI))) -1/6))))) (* x (* (PI) (* x (* (PI) tau)))))
1.0ms	x	@	inf	(/ (* tau (* (* x (+ (PI) (* (* (* (* x x) -1/6) (PI)) (* (PI) (PI))))) (+ (* x (PI)) (* (* tau (* tau (* x (* x x)))) (* (* (PI) (* (PI) (PI))) -1/6))))) (* x (* (PI) (* x (* (PI) tau)))))

rewrite450.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4062×	`-lowering-.f32`
4062×	`-lowering-.f64`
3210×	`/-lowering-/.f32`
3210×	`/-lowering-/.f64`
1618×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	339
1	300	300
2	2814	300
0	8183	300

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 1018

Calls

Call 1

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

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

simplify430.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6100×	`-lowering-.f32`
6100×	`-lowering-.f64`
5132×	`+-lowering-+.f64`
5132×	`+-lowering-+.f32`
1184×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	647	9233
1	2482	8126
2	6099	7854
0	8072	7854

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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

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

eval329.0ms (2.1%)

Compiler: Compiled 108664 to 9553 computations (91.2% saved)

prune462.0ms (3%)

Pruning

95 alts after pruning (86 fresh and 9 done)

	Pruned	Kept	Total
New	2901	35	2936
Fresh	14	51	65
Picked	3	2	5
Done	1	7	8
Total	2919	95	3014

Accuracy

99.8%

Counts

3014 → 95

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.1%	(/.f32 (/.f32 (/.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))))) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	84.1%	(/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	83.9%	(/.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	97.4%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
	94.7%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)) #s(literal 3 binary32)))))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
✓	97.0%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 x (PI.f32)))) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	97.3%	(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) tau)
	69.8%	(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	67.9%	(/.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 (.f32 x (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 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (.f32 (cos.f32 (.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))))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) #s(literal 2 binary32))
	84.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (PI.f32)))) tau)) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
	90.0%	(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 tau (PI.f32))) (.f32 (.f32 x x) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/120 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) tau)))) x) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
	77.9%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 tau (.f32 tau tau))))))) x) (.f32 (PI.f32) tau))
	77.6%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (.f32 tau tau) (.f32 x (.f32 x x))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) x) (.f32 (PI.f32) tau))
	83.6%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) tau)))) x) (.f32 (PI.f32) tau))
	84.4%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32))) tau)
	84.4%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x tau)) (PI.f32))
	84.1%	(/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) x) (.f32 (PI.f32) tau))
	69.9%	(/.f32 (/.f32 (.f32 x (PI.f32)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) (.f32 x tau)))
	62.1%	(/.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) x) (*.f32 (PI.f32) tau))
	70.0%	(/.f32 (/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (.f32 (PI.f32) tau))
	76.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 tau tau)) (.f32 x (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) x)) tau)) (.f32 (.f32 x (PI.f32)) (*.f32 x tau)))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32)))) (*.f32 x tau)))
✓	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) (.f32 x tau)))
	62.0%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	63.3%	(/.f32 (.f32 (.f32 tau (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) tau))
	69.8%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x tau))))
	95.4%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32)) (.f32 x tau))))
✓	97.0%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 x 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)))))
	69.9%	(/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)))
	69.9%	(/.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x tau)) (PI.f32))))
	77.8%	(/.f32 (.f32 tau (+.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (PI.f32) tau))
	63.0%	(/.f32 (.f32 tau (.f32 (.f32 (.f32 x x) (PI.f32)) (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	77.4%	(/.f32 (.f32 tau (.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	4.3%	(/.f32 (.f32 tau (.f32 (.f32 x (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	68.1%	(/.f32 (.f32 tau (.f32 (.f32 x (PI.f32)) (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 x (.f32 x x)))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	76.6%	(/.f32 (.f32 tau (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	94.6%	(/.f32 (sin.f32 (.f32 x (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))))
	96.2%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau)))
	97.3%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (PI.f32)) tau)))
	96.2%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) (.f32 x tau))) (.f32 x (PI.f32))) tau)))
✓	97.5%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32))) tau)))
✓	97.7%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x tau)) (PI.f32))))
	84.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))))))))
	62.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	84.2%	(/.f32 #s(literal 1 binary32) (/.f32 tau (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))))))
	75.3%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (-.f32 (.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (.f32 (+.f32 tau #s(literal 1 binary32)) (.f32 x (PI.f32)))) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) (.f32 x tau))))))
	83.5%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (.f32 tau (+.f32 (.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))))))))
	78.7%	(+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (+.f32 (.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (/.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))) #s(literal 1 binary32))
	63.3%	(+.f32 (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) #s(literal 1 binary32))
	63.3%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) #s(literal -1/6 binary32)) (.f32 x (.f32 x (PI.f32)))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))))) (.f32 x #s(literal -1/6 binary32))))
	78.7%	(+.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 #s(literal 1/36 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)))))))
	83.9%	(+.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 (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))))
	68.5%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
	83.1%	(+.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 x (.f32 x (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))))))))
	78.7%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))))))))
✓	77.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 x x))))
	77.8%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x (.f32 x (PI.f32))))))
	63.3%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))))
	68.5%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x x) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32)))))))
	63.3%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 x (.f32 (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (PI.f32))))))
	97.3%	(.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) tau) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.1%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
	84.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.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)))))))
	84.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))) x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
	84.4%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))) tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))))
	97.2%	(.f32 (/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	84.0%	(.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) tau))
	77.8%	(.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))))))) (.f32 (.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)))))))
	77.9%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	96.2%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))))
	69.9%	(.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 x tau))))) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	83.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) 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)))))))
	84.5%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (PI.f32)) x))
✓	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))
	90.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 x (+.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 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))))) x))
✓	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	70.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.0%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
	84.2%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x tau)))
	84.4%	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32))))
	96.7%	(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
	63.3%	(.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))))
	78.4%	(.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 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	83.9%	(.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	83.5%	(.f32 (+.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 #s(literal 1/120 binary32) (.f32 (.f32 x x) (.f32 x x))) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	84.9%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
	83.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))))))))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
	84.0%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
	4.7%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
	4.2%	(.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 (.f32 x x) (PI.f32)) (+.f32 (PI.f32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
✓	62.2%	#s(literal 1 binary32)

Compiler

Compiled 6863 to 2243 computations (67.3% saved)

regimes211.0ms (1.4%)

Counts

148 → 1

Calls

Call 1

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

65.0ms	(*.f32 x (PI.f32))
43.0ms	tau
41.0ms	(.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))))
41.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes106.0ms (0.7%)

Counts

97 → 1

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	tau
28.0ms	x
27.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes99.0ms (0.6%)

Counts

94 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

29.0ms	tau
27.0ms	x
26.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
90.9%	1	`x`
90.9%	1	`(*.f32 x (PI.f32))`
90.9%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes94.0ms (0.6%)

Counts

90 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.1%	1	`tau`
90.1%	1	`x`
90.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes96.0ms (0.6%)

Counts

89 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

29.0ms	x
25.0ms	tau
24.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
90.0%	1	`x`
90.0%	1	`tau`
90.0%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes87.0ms (0.6%)

Counts

88 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	tau
25.0ms	(*.f32 x (PI.f32))
24.0ms	x

Results

Accuracy	Segments	Branch
84.9%	1	`x`
84.9%	1	`(*.f32 x (PI.f32))`
84.9%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes143.0ms (0.9%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

103.0ms	x
18.0ms	tau
15.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
83.9%	1	`x`
83.9%	1	`(*.f32 x (PI.f32))`
83.9%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes49.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

18.0ms	x
12.0ms	tau
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
83.5%	1	`x`
83.5%	1	`tau`
83.5%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes49.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

18.0ms	(*.f32 x (PI.f32))
11.0ms	tau
11.0ms	x

Results

Accuracy	Segments	Branch
83.5%	1	`x`
83.5%	1	`(*.f32 x (PI.f32))`
83.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes42.0ms (0.3%)

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

13.0ms	(*.f32 x (PI.f32))
11.0ms	tau
11.0ms	x

Results

Accuracy	Segments	Branch
83.1%	1	`x`
83.1%	1	`(*.f32 x (PI.f32))`
83.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes40.0ms (0.3%)

Counts

34 → 1

Calls

Call 1

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

Outputs

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

3 calls:

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

Results

Accuracy	Segments	Branch
78.7%	1	`x`
78.7%	1	`tau`
78.7%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes28.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	tau
7.0ms	(*.f32 x (PI.f32))
7.0ms	x

Results

Accuracy	Segments	Branch
78.4%	1	`x`
78.4%	1	`(*.f32 x (PI.f32))`
78.4%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.8%	1	`x`
77.8%	1	`(*.f32 x (PI.f32))`
77.8%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.f32 x (PI.f32))
5.0ms	tau
5.0ms	x

Results

Accuracy	Segments	Branch
77.8%	1	`x`
77.8%	1	`(*.f32 x (PI.f32))`
77.8%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes26.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

Calls

3 calls:

16.0ms	x
5.0ms	tau
4.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
68.5%	1	`x`
68.5%	1	`(*.f32 x (PI.f32))`
68.5%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.3%	1	`x`
63.3%	1	`(*.f32 x (PI.f32))`
63.3%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

4.0ms	tau
3.0ms	(*.f32 x (PI.f32))
2.0ms	x

Results

Accuracy	Segments	Branch
63.3%	1	`tau`
63.3%	1	`x`
63.3%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary32)

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
63.3%	1	`tau`
63.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -18.8b remaining (-155.3%)

Threshold costs -18.8b (-155.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

1.0ms	x
1.0ms	tau

Results

Accuracy	Segments	Branch
62.2%	1	`tau`
62.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

134×	`*-commutative_binary32`
56×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	531
1	228	531

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

soundness3.3s (21.7%)

Rules

6706×	`-lowering-.f32`
6706×	`-lowering-.f64`
6598×	`-lowering-.f32`
6598×	`-lowering-.f64`
5240×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	7202
1	1541	6515
2	7143	6441
0	8609	6441
0	334	6210
1	1189	5380
2	5148	5187
0	8537	5187
0	265	3291
1	931	3010
2	4084	2896
0	8093	2896
0	39	215
1	255	206
2	2384	198
0	8612	198
0	50	339
1	300	300
2	2814	300
0	8183	300
0	17	108
1	101	108
2	778	101
3	7573	101
0	8437	101

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

Compiler

Compiled 985 to 426 computations (56.8% saved)

preprocess152.0ms (1%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 2216 to 754 computations (66% saved)

analyze29.0ms (0.2%)

sample1.7s (11.1%)

preprocess89.0ms (0.6%)

explain116.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify32.0ms (0.2%)

localize87.0ms (0.6%)

series34.0ms (0.2%)

rewrite354.0ms (2.3%)

simplify365.0ms (2.4%)

eval153.0ms (1%)

prune239.0ms (1.6%)

simplify373.0ms (2.4%)

localize301.0ms (2%)

series24.0ms (0.2%)

rewrite443.0ms (2.9%)

simplify458.0ms (3%)

eval722.0ms (4.7%)

prune439.0ms (2.9%)

simplify277.0ms (1.8%)

localize217.0ms (1.4%)

series34.0ms (0.2%)

rewrite439.0ms (2.9%)

simplify347.0ms (2.3%)

eval435.0ms (2.8%)

prune563.0ms (3.7%)

simplify397.0ms (2.6%)

localize303.0ms (2%)

series44.0ms (0.3%)

rewrite450.0ms (2.9%)

simplify430.0ms (2.8%)

eval329.0ms (2.1%)

prune462.0ms (3%)

regimes211.0ms (1.4%)

regimes106.0ms (0.7%)

regimes99.0ms (0.6%)

regimes94.0ms (0.6%)

regimes96.0ms (0.6%)

regimes87.0ms (0.6%)

regimes143.0ms (0.9%)

regimes49.0ms (0.3%)

regimes49.0ms (0.3%)

regimes42.0ms (0.3%)

regimes40.0ms (0.3%)

regimes28.0ms (0.2%)

regimes22.0ms (0.1%)

regimes17.0ms (0.1%)

regimes26.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify15.0ms (0.1%)

soundness3.3s (21.7%)

preprocess152.0ms (1%)

end0.0ms (0%)

Profiling