Metrics for Lanczos kernel

analyze52.0ms (0.4%)

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: 40.0ms

ival-sin: 27.0ms (66.8% of total)

ival-div: 3.0ms (7.4% of total)

ival-mult: 3.0ms (7.4% of total)

...c/correct-round.rkt:119:19: 3.0ms (7.4% of total)

ival-<=: 2.0ms (5% of total)

ival-pi: 1.0ms (2.5% of total)

ival-and: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

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

sample2.0s (15.1%)

Results

1.7s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 396.0ms (29.8% of total)

ival-sin: 291.0ms (21.9% of total)

...c/correct-round.rkt:119:19: 156.0ms (11.8% of total)

ival-<=: 155.0ms (11.7% of total)

ival-pi: 152.0ms (11.5% of total)

ival-div: 133.0ms (10% of total)

ival-and: 33.0ms (2.5% of total)

const: 7.0ms (0.5% of total)

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

Bogosity

preprocess110.0ms (0.8%)

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)

explain159.0ms (1.2%)

FPErrors

Click to see full error table

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

Results

112.0ms

512×

valid

Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions

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

ival-sin: 15.0ms (38.8% of total)

ival-mult: 11.0ms (28.4% of total)

ival-div: 9.0ms (23.3% of total)

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

const: 1.0ms (2.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.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

▶

97.3%

(/.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)

simplify33.0ms (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))))

localize142.0ms (1.1%)

Localize:

Found 8 expressions of interest:

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

Results

117.0ms

256×

valid

Compiler

Compiled 137 to 18 computations (86.9% saved)

Precisions

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

ival-mult: 49.0ms (71% of total)

ival-sin: 14.0ms (20.3% of total)

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

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

const: 0.0ms (0% of total)

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

series37.0ms (0.3%)

Counts

11 → 240

Calls

Call 1

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

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)))>

Calls

60 calls:

Time	Variable		Point	Expression
7.0ms	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	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite393.0ms (2.9%)

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	105
1	101	105
2	778	98
3	7573	98
0	8437	98

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 878

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)))

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

simplify337.0ms (2.5%)

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	3255
1	931	2974
2	4084	2860
0	8093	2860

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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)))))
(* 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)))
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(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))))

eval207.0ms (1.5%)

Compiler: Compiled 36599 to 2588 computations (92.9% saved)

prune219.0ms (1.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1437	29	1466
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1438	30	1468

Accuracy

99.8%

Counts

1468 → 30

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)))
	97.2%	(/.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)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x))
▶	98.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
▶	97.5%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))))
	66.1%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
▶	79.3%	(/.f32 (.f32 (.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))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (.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)))))
	95.0%	(/.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)))))
✓	97.3%	(/.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)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))))
	67.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
▶	72.6%	(-.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))))))
	85.4%	(+.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)))))))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	97.5%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	96.3%	(.f32 (/.f32 (sin.f32 (.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))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.4%	(.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)))))))
	94.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.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)))))))))
	86.3%	(.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)))))))
	73.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.1%	(.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)))))) (/.f32 #s(literal 1 binary32) tau))
	97.7%	(.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))))
	64.3%	(.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 #s(literal 1/2 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	66.4%	#s(literal 1 binary32)

Compiler

Compiled 1569 to 866 computations (44.8% saved)

simplify290.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

5558×	`-lowering-.f32`
5558×	`-lowering-.f64`
3538×	`/-lowering-/.f32`
3538×	`/-lowering-/.f64`
1550×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	466
1	148	458
2	512	435
3	3047	429
4	4930	417
5	6640	417
6	7328	417
0	8038	417

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize318.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.7%	(.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))
✓	accuracy	78.0%	(-.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))))))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau)))
✓	accuracy	98.9%	(/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32))))
✓	accuracy	98.8%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.9%	(.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(/.f32 (.f32 (.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))))) (sin.f32 (.f32 x (PI.f32)))) (.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	98.9%	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (PI.f32)))
✓	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))

Results

237.0ms

256×

valid

Compiler

Compiled 516 to 48 computations (90.7% saved)

Precisions

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

ival-mult: 54.0ms (53.6% of total)

ival-div: 20.0ms (19.8% of total)

ival-sin: 8.0ms (7.9% of total)

ival-cos: 7.0ms (6.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (4% of total)

ival-add: 2.0ms (2% of total)

ival-sub: 2.0ms (2% of total)

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

const: 1.0ms (1% of total)

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

series60.0ms (0.4%)

Counts

22 → 456

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 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 (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 (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
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#<alt (/ (+ (* -1/4 (/ (* (pow x 2) (pow (- tau 1) 2)) tau)) (* 1/2 (/ 1 (* tau (pow (PI) 2))))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (/ (pow (- tau 1) 2) tau)) (* 1/48 (/ (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 4))) tau)))) (* 1/2 (/ 1 (* tau (pow (PI) 2))))) (pow x 2))>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 6))) tau)) (* 1/48 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)))))) (* 1/2 (/ 1 (* tau (pow (PI) 2))))) (pow x 2))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (/ (+ (* -1/2 (/ (* tau (sin (* -1 (* x (PI))))) (* x (PI)))) (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1/2 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* -1/4 (* tau (cos (* -1 (* x (PI))))))))) tau)>
#<alt (/ (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* -1/2 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/4 (cos (* -1 (* x (PI))))) (* 1/12 (* tau (* x (* (PI) (sin (* -1 (* x (PI))))))))))))) tau)>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ (* -1/4 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/48 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))>
#<alt (+ 1/2 (* (pow x 2) (+ (* -1/4 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/48 (* (pow (PI) 4) (pow (- tau 1) 4))))))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* -1 (* x (PI)))))>
#<alt (+ (* -1/2 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))) (* 1/2 (cos (* -1 (* x (PI))))))>
#<alt (+ (* 1/2 (cos (* -1 (* x (PI))))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* -1 (* x (PI))))))) (* -1/4 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))))))>
#<alt (+ (* 1/2 (cos (* -1 (* x (PI))))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* -1 (* x (PI))))))) (* tau (+ (* -1/4 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/12 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/24 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (* 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 (+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))>
#<alt (+ (* tau (PI)) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3))))))>
#<alt (+ (* tau (PI)) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 7))) (+ (* 1/720 (* tau (pow (PI) 7))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))))))) (+ (* -1/36 (* tau (pow (PI) 5))) (* 1/120 (* tau (pow (PI) 5)))))) (* -1/6 (* tau (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* 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 (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (PI))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (* x (PI)))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
#<alt (* -1 (PI))>
#<alt (+ (* -1 (PI)) (* tau (PI)))>
#<alt (+ (* -1 (PI)) (* tau (PI)))>
#<alt (+ (* -1 (PI)) (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ (sin (* (PI) (* x tau))) x)
5.0ms	x	@	0	(- (/ (/ (cos (* x (* (PI) (- tau 1)))) 2) (* x (* (PI) (* (PI) (* x tau))))) (/ (/ (cos (* (* x (PI)) (+ tau 1))) 2) (* x (* (PI) (* (PI) (* x tau))))))
3.0ms	x	@	-inf	(/ (* (* tau (+ (* x (PI)) (* (* tau (* tau (* x (* x x)))) (* (* (PI) (* (PI) (PI))) -1/6)))) (sin (* x (PI)))) (* x (* (PI) (* x (* (PI) tau)))))
3.0ms	tau	@	-inf	(- (/ (/ (cos (* x (* (PI) (- tau 1)))) 2) (* x (* (PI) (* (PI) (* x tau))))) (/ (/ (cos (* (* x (PI)) (+ tau 1))) 2) (* x (* (PI) (* (PI) (* x tau))))))
2.0ms	tau	@	inf	(- (/ (/ (cos (* x (* (PI) (- tau 1)))) 2) (* x (* (PI) (* (PI) (* x tau))))) (/ (/ (cos (* (* x (PI)) (+ tau 1))) 2) (* x (* (PI) (* (PI) (* x tau))))))

rewrite454.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4320×	`/-lowering-/.f32`
4320×	`/-lowering-/.f64`
3580×	`-lowering-.f32`
3580×	`-lowering-.f64`
1876×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	272
1	285	246
2	2789	237
0	8405	237

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 912

Calls

Call 1

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

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

simplify414.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5878×	`-lowering-.f32`
5878×	`-lowering-.f64`
3354×	`+-lowering-+.f64`
3354×	`+-lowering-+.f32`
1996×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	647	7747
1	2364	6948
2	6303	6767
0	8770	6767

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

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

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

eval284.0ms (2.1%)

Compiler: Compiled 67349 to 3980 computations (94.1% saved)

prune562.0ms (4.2%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1748	26	1774
Fresh	9	15	24
Picked	3	2	5
Done	0	1	1
Total	1760	44	1804

Accuracy

99.9%

Counts

1804 → 44

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)))
	97.2%	(/.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)))))
	79.6%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (+.f32 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (/.f32 tau x))) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
	79.4%	(/.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 tau (+.f32 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))) x)
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))))
✓	98.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))))
	85.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
	73.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 tau (PI.f32)))
	97.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	61.3%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 x #s(literal 2 binary32))) (PI.f32)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
▶	61.1%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	64.3%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (*.f32 x #s(literal 2 binary32))))
	61.6%	(/.f32 (+.f32 (pow.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x))) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x tau) x)))))))
▶	80.1%	(/.f32 (+.f32 tau (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau tau))) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
	79.5%	(/.f32 (.f32 (.f32 (.f32 x (.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 tau (PI.f32)) (.f32 x x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	66.1%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	79.4%	(/.f32 (.f32 (.f32 tau (+.f32 (.f32 (PI.f32) x) (.f32 (.f32 (.f32 x tau) (.f32 (.f32 x x) tau)) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))) x)
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.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)))))
✓	97.3%	(/.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)))))
	96.8%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))))
	67.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	69.9%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x))) #s(literal 2 binary32)) (/.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))))))
	68.6%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 x (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) 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))))))
	72.6%	(-.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 (+.f32 tau #s(literal 1 binary32)) x) (PI.f32))) #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	72.7%	(-.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 tau (.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	34.5%	(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) (/.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))))))
	51.0%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 (.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))))))
	56.5%	(-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal -1 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))))))
	85.4%	(+.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)))))))))
▶	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
	96.3%	(.f32 (/.f32 (sin.f32 (.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))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	86.3%	(.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)))))))
	73.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	64.3%	(.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 #s(literal 1/2 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 x tau))))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	66.2%	(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
✓	66.4%	#s(literal 1 binary32)

Compiler

Compiled 2821 to 1512 computations (46.4% saved)

simplify261.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4718×	`-lowering-.f32`
4718×	`-lowering-.f64`
3510×	`+-lowering-+.f64`
3510×	`+-lowering-+.f32`
1878×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	470
1	175	450
2	594	448
3	2218	448
4	3702	442
5	5380	442
0	8010	442

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize338.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 x #s(literal 2 binary32))) (PI.f32))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.6%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
✓	accuracy	63.7%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32)))
✓	accuracy	98.9%	(*.f32 (PI.f32) x)
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 (PI.f32) x)))
✓	accuracy	98.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(.f32 (PI.f32) (.f32 x tau))
✓	accuracy	98.8%	(.f32 #s(literal -1/6 binary32) (.f32 tau (*.f32 tau tau)))
✓	accuracy	98.7%	(.f32 (.f32 x x) (*.f32 (PI.f32) (PI.f32)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32))))
✓	accuracy	98.9%	(.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.9%	(*.f32 x (PI.f32))
✓	accuracy	98.7%	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	accuracy	98.6%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))

Results

225.0ms

256×

valid

Compiler

Compiled 513 to 56 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 42.0ms (43.2% of total)

ival-div: 20.0ms (20.6% of total)

ival-sin: 15.0ms (15.4% of total)

ival-cos: 7.0ms (7.2% of total)

ival-add: 6.0ms (6.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.1% of total)

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

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

const: 1.0ms (1% of total)

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

series69.0ms (0.5%)

Counts

28 → 552

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
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#<alt (pow x 2)>
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#<alt (pow x 2)>
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#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
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#<alt (- (* -1/4 (/ (pow (- tau 1) 2) tau)) (* -1/4 (/ (pow (+ 1 tau) 2) tau)))>
#<alt (- (+ (* -1/4 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (- (* 1/48 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/48 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* -1/4 (/ (pow (+ 1 tau) 2) tau)))>
#<alt (- (+ (* -1/4 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (- (+ (* 1/48 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* (pow x 2) (- (* -1/1440 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/1440 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/48 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* -1/4 (/ (pow (+ 1 tau) 2) tau)))>
#<alt (- (+ (* -1/4 (/ (pow (- tau 1) 2) tau)) (* (pow x 2) (- (+ (* 1/48 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* (pow x 2) (- (+ (* -1/1440 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* (pow x 2) (- (* 1/80640 (/ (* (pow (PI) 6) (pow (- tau 1) 8)) tau)) (* 1/80640 (/ (* (pow (PI) 6) (pow (+ 1 tau) 8)) tau))))) (* -1/1440 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/48 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* -1/4 (/ (pow (+ 1 tau) 2) tau)))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI)))))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI)))))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI)))))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) (* tau (* (pow x 2) (PI)))))>
#<alt (/ (- (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* 1/2 (/ (cos (* x (PI))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (- (* -1/2 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* -1/2 (/ (sin (* x (PI))) (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (- (+ (* -1/2 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* tau (- (* -1/4 (cos (* -1 (* x (PI))))) (* -1/4 (cos (* x (PI))))))) (* -1/2 (/ (sin (* x (PI))) (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (- (+ (* -1/2 (/ (sin (* -1 (* x (PI)))) (* x (PI)))) (* tau (- (+ (* -1/4 (cos (* -1 (* x (PI))))) (* tau (- (* 1/12 (* x (* (PI) (sin (* -1 (* x (PI))))))) (* 1/12 (* x (* (PI) (sin (* x (PI))))))))) (* -1/4 (cos (* x (PI))))))) (* -1/2 (/ (sin (* x (PI))) (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (/ (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))) (* tau (* x (PI))))>
#<alt (* x (- (* -1/4 (* (PI) (pow (- tau 1) 2))) (* -1/4 (* (PI) (pow (+ 1 tau) 2)))))>
#<alt (* x (- (+ (* -1/4 (* (PI) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/48 (* (pow (PI) 3) (pow (- tau 1) 4))) (* 1/48 (* (pow (PI) 3) (pow (+ 1 tau) 4)))))) (* -1/4 (* (PI) (pow (+ 1 tau) 2)))))>
#<alt (* x (- (+ (* -1/4 (* (PI) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/48 (* (pow (PI) 3) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/1440 (* (pow (PI) 5) (pow (- tau 1) 6))) (* -1/1440 (* (pow (PI) 5) (pow (+ 1 tau) 6)))))) (* 1/48 (* (pow (PI) 3) (pow (+ 1 tau) 4)))))) (* -1/4 (* (PI) (pow (+ 1 tau) 2)))))>
#<alt (* x (- (+ (* -1/4 (* (PI) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/48 (* (pow (PI) 3) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/1440 (* (pow (PI) 5) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/80640 (* (pow (PI) 7) (pow (- tau 1) 8))) (* 1/80640 (* (pow (PI) 7) (pow (+ 1 tau) 8)))))) (* -1/1440 (* (pow (PI) 5) (pow (+ 1 tau) 6)))))) (* 1/48 (* (pow (PI) 3) (pow (+ 1 tau) 4)))))) (* -1/4 (* (PI) (pow (+ 1 tau) 2)))))>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x)>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x)>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x)>
#<alt (/ (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x)>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x))>
#<alt (* -1 (/ (- (* -1/2 (/ (cos (* x (* (PI) (- tau 1)))) (PI))) (* -1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (PI)))) x))>
#<alt (- (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))>
#<alt (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* tau (- (* -1/2 (sin (* -1 (* x (PI))))) (* -1/2 (sin (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))>
#<alt (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* tau (- (+ (* -1/2 (sin (* -1 (* x (PI))))) (* tau (- (* -1/4 (* x (* (PI) (cos (* -1 (* x (PI))))))) (* -1/4 (* x (* (PI) (cos (* x (PI))))))))) (* -1/2 (sin (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))>
#<alt (- (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* tau (- (+ (* -1/2 (sin (* -1 (* x (PI))))) (* tau (- (+ (* -1/4 (* x (* (PI) (cos (* -1 (* x (PI))))))) (* tau (- (* 1/12 (* (pow x 2) (* (pow (PI) 2) (sin (* -1 (* x (PI))))))) (* 1/12 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) (* -1/4 (* x (* (PI) (cos (* x (PI))))))))) (* -1/2 (sin (* x (PI))))))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI)))))>
#<alt (- (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI)))) (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI)))))>
#<alt (/ 1/2 (* x (PI)))>
#<alt (/ (+ (* -1/4 (* (pow x 2) (* (PI) (pow (- tau 1) 2)))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (- tau 1) 2))) (* 1/48 (* (pow x 2) (* (pow (PI) 3) (pow (- tau 1) 4)))))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (* (pow (PI) 5) (pow (- tau 1) 6)))) (* 1/48 (* (pow (PI) 3) (pow (- tau 1) 4))))))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI))))>
#<alt (+ (* -1/2 (* tau (sin (* -1 (* x (PI)))))) (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))))>
#<alt (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* -1 (* x (PI))))) (* -1/4 (* tau (* x (* (PI) (cos (* -1 (* x (PI)))))))))))>
#<alt (+ (* 1/2 (/ (cos (* -1 (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* -1 (* x (PI))))) (* tau (+ (* -1/4 (* x (* (PI) (cos (* -1 (* x (PI))))))) (* 1/12 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* -1 (* x (PI)))))))))))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- tau 1)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (* x (PI))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ (* -1/4 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/48 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))>
#<alt (+ 1/2 (* (pow x 2) (+ (* -1/4 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/48 (* (pow (PI) 4) (pow (- tau 1) 4))))))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* -1 (* x (PI)))))>
#<alt (+ (* -1/2 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))) (* 1/2 (cos (* -1 (* x (PI))))))>
#<alt (+ (* 1/2 (cos (* -1 (* x (PI))))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* -1 (* x (PI))))))) (* -1/4 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))))))>
#<alt (+ (* 1/2 (cos (* -1 (* x (PI))))) (* tau (+ (* -1/2 (* x (* (PI) (sin (* -1 (* x (PI))))))) (* tau (+ (* -1/4 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/12 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* x (* (PI) (- tau 1)))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<alt (* 1/2 (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))))>
#<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 (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* (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 (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* 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 (/ 1/2 (* x (PI)))>
#<alt (/ (+ (* -1/4 (* (pow x 2) (* (PI) (pow (+ 1 tau) 2)))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (+ 1 tau) 2))) (* 1/48 (* (pow x 2) (* (pow (PI) 3) (pow (+ 1 tau) 4)))))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (+ 1 tau) 2))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (* (pow (PI) 5) (pow (+ 1 tau) 6)))) (* 1/48 (* (pow (PI) 3) (pow (+ 1 tau) 4))))))) (* 1/2 (/ 1 (PI)))) x)>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/2 (* tau (sin (* x (PI))))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))>
#<alt (+ (* 1/2 (/ (cos (* x (PI))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* x (PI)))) (* -1/4 (* tau (* x (* (PI) (cos (* x (PI))))))))))>
#<alt (+ (* 1/2 (/ (cos (* x (PI))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* x (PI)))) (* tau (+ (* -1/4 (* x (* (PI) (cos (* x (PI)))))) (* 1/12 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))>
#<alt (* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))>

Calls

138 calls:

Time	Variable		Point	Expression
15.0ms	tau	@	0	(* (/ (sin (* (PI) (* x tau))) x) (sin (* (PI) x)))
5.0ms	x	@	0	(/ (- (/ (/ (cos (* (* (PI) x) (+ tau -1))) 2) (* (PI) x)) (/ (/ (cos (* (PI) (* x (+ tau 1)))) (* x 2)) (PI))) (* (PI) (* x tau)))
4.0ms	tau	@	inf	(/ (- (/ (/ (cos (* (* (PI) x) (+ tau -1))) 2) (* (PI) x)) (/ (/ (cos (* (PI) (* x (+ tau 1)))) (* x 2)) (PI))) (* (PI) (* x tau)))
3.0ms	x	@	-inf	(/ (- (/ (/ (cos (* (* (PI) x) (+ tau -1))) 2) (* (PI) x)) (/ (/ (cos (* (PI) (* x (+ tau 1)))) (* x 2)) (PI))) (* (PI) (* x tau)))
3.0ms	tau	@	-inf	(/ (- (/ (/ (cos (* (* (PI) x) (+ tau -1))) 2) (* (PI) x)) (/ (/ (cos (* (PI) (* x (+ tau 1)))) (* x 2)) (PI))) (* (PI) (* x tau)))

rewrite412.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

4136×	`-lowering-.f32`
4136×	`-lowering-.f64`
3520×	`/-lowering-/.f32`
3520×	`/-lowering-/.f64`
2238×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	311
1	355	295
2	3421	279
0	8644	279

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 938

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 x (PI.f32)) (neg.f32 (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau)) (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32)))))) (.f32 (.f32 x (PI.f32)) (neg.f32 (.f32 (PI.f32) tau))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (PI.f32))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (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 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) x))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) (.f32 (PI.f32) tau)))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32)))) (.f32 (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (PI.f32)))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.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 x) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 x (PI.f32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (.f32 (.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (PI.f32))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (.f32 (.f32 tau (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (.f32 (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (neg.f32 (PI.f32))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 (PI.f32) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) #s(literal 1 binary32)) (.f32 tau (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))) (.f32 tau (neg.f32 (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (.f32 x (PI.f32)) (.f32 tau (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) #s(literal 1 binary32)) (.f32 (PI.f32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (PI.f32) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (.f32 (PI.f32) tau))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) tau))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (PI.f32)) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (neg.f32 (PI.f32)) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) (.f32 (neg.f32 (PI.f32)) tau))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (PI.f32))))))) (neg.f32 (.f32 (.f32 x (PI.f32)) (neg.f32 (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) (neg.f32 (.f32 (PI.f32) (.f32 (PI.f32) tau))))
(/.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 (sin.f32 (.f32 x (PI.f32))))) #s(literal 1 binary32)) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x x)) (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.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 x))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32)))) tau)
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau))) x)
(/.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (PI.f32) tau))) (neg.f32 x))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) (*.f32 (PI.f32) tau))) x)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) x)
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) tau)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
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(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
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(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x))
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(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
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(*.f32 (PI.f32) (PI.f32))
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(*.f32 x (PI.f32))
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simplify358.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4608×	`-lowering-.f32`
4608×	`-lowering-.f64`
3700×	`+-lowering-+.f64`
3700×	`+-lowering-+.f32`
1440×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	703	9111
1	2502	8076
2	6005	7661
0	8176	7661

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

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) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
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(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(/ (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
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1 (* (pow tau 3) (- (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2)))))
(* -1 (* (pow tau 3) (- (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2)))))
(* -1 (* (pow tau 3) (- (* 1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2)))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (/ tau (pow x 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
(* -1/6 (pow tau 3))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* x (PI))
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(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* (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))
(* 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)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(/ 1/2 (* x (PI)))
(/ (+ (* -1/4 (* (pow x 2) (* (PI) (pow (+ 1 tau) 2)))) (* 1/2 (/ 1 (PI)))) x)
(/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (+ 1 tau) 2))) (* 1/48 (* (pow x 2) (* (pow (PI) 3) (pow (+ 1 tau) 4)))))) (* 1/2 (/ 1 (PI)))) x)
(/ (+ (* (pow x 2) (+ (* -1/4 (* (PI) (pow (+ 1 tau) 2))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (* (pow (PI) 5) (pow (+ 1 tau) 6)))) (* 1/48 (* (pow (PI) 3) (pow (+ 1 tau) 4))))))) (* 1/2 (/ 1 (PI)))) x)
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (PI))) (* x (PI))))
(+ (* -1/2 (* tau (sin (* x (PI))))) (* 1/2 (/ (cos (* x (PI))) (* x (PI)))))
(+ (* 1/2 (/ (cos (* x (PI))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* x (PI)))) (* -1/4 (* tau (* x (* (PI) (cos (* x (PI))))))))))
(+ (* 1/2 (/ (cos (* x (PI))) (* x (PI)))) (* tau (+ (* -1/2 (sin (* x (PI)))) (* tau (+ (* -1/4 (* x (* (PI) (cos (* x (PI)))))) (* 1/12 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (+ 1 tau)))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 tau))))) (* x (PI))))
(* 1/2 (/ (cos (* x (* (PI) (- 1 (* -1 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 #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 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.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 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau tau))))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/720 binary32) (.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (.f32 tau tau) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 (.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (.f32 (sin.f32 (.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (.f32 #s(literal 1/120 binary32) (.f32 (.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))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.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 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.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 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 tau tau)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 x #s(literal 4 binary32)))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(.f32 x (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 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 #s(literal -1/6 binary32) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 x x) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 tau #s(literal 7 binary32)) (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(* tau (* x (PI)))
(.f32 tau (.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
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eval186.0ms (1.4%)

Compiler: Compiled 53654 to 3612 computations (93.3% saved)

prune270.0ms (2%)

Pruning

63 alts after pruning (58 fresh and 5 done)

	Pruned	Kept	Total
New	1711	31	1742
Fresh	9	27	36
Picked	3	2	5
Done	0	3	3
Total	1723	63	1786

Accuracy

99.9%

Counts

1786 → 63

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)))
▶	97.2%	(/.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)))))
	62.3%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (PI.f32)) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (PI.f32)))) x) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))))
✓	98.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))))
▶	85.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
	73.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 tau (PI.f32)))
▶	97.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	61.1%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
✓	61.1%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	5.6%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1/2 binary32) (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	44.3%	(/.f32 (-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (PI.f32))) x) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	45.2%	(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	31.3%	(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
▶	79.4%	(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	64.3%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (*.f32 x #s(literal 2 binary32))))
	64.3%	(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x #s(literal 2 binary32)))))
	61.6%	(/.f32 (+.f32 (pow.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x))) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x tau) x)))))))
	79.4%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))))
	79.4%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
	79.5%	(/.f32 (.f32 (.f32 (.f32 x (.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 tau (PI.f32)) (.f32 x x)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))
	66.1%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.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)))))
✓	97.3%	(/.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)))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	66.1%	(/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
	62.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (.f32 x (PI.f32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (.f32 x (PI.f32))))) (.f32 (PI.f32) (*.f32 x tau)))
	67.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	64.2%	(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x #s(literal 2 binary32))))) (.f32 tau (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))))
	80.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (+.f32 tau (.f32 (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	79.4%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.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 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))))))
	68.6%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 x (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) 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))))))
	72.7%	(-.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 tau (.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	34.5%	(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) (/.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))))))
	51.0%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 (.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))))))
	80.1%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 1/6 binary32))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) x))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	85.4%	(+.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)))))))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (PI.f32))))
	72.2%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))))
	67.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
	67.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	72.2%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))))
	96.3%	(.f32 (/.f32 (sin.f32 (.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))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	86.3%	(.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)))))))
	73.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	79.4%	(.f32 (-.f32 #s(literal 1 binary32) (.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 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	80.7%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	80.5%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	4.3%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))
	66.2%	(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
✓	66.4%	#s(literal 1 binary32)
▶	6.3%	#s(literal 0 binary32)

Compiler

Compiled 3931 to 2048 computations (47.9% saved)

simplify253.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

7368×	`-lowering-.f32`
7368×	`-lowering-.f64`
3398×	`+-lowering-+.f64`
3398×	`+-lowering-+.f32`
1710×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	421
1	136	397
2	487	358
3	2766	354
0	8249	354

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize253.0ms (1.9%)

Localize:

Found 16 expressions of interest:

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

Results

179.0ms

256×

valid

Compiler

Compiled 491 to 45 computations (90.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 34.0ms (43.3% of total)

ival-div: 17.0ms (21.7% of total)

ival-sin: 8.0ms (10.2% of total)

...c/correct-round.rkt:119:19: 8.0ms (10.2% of total)

ival-add: 5.0ms (6.4% of total)

ival-pi: 3.0ms (3.8% of total)

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

const: 1.0ms (1.3% of total)

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

series44.0ms (0.3%)

Counts

22 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

rewrite378.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
3064×	`/-lowering-/.f32`
3064×	`/-lowering-/.f64`
1912×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	281
1	272	214
2	2408	214
0	8648	214

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 781

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (PI.f32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (*.f32 (PI.f32) x)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) x)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 (PI.f32) x))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (neg.f32 (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (neg.f32 x))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) #s(literal 1 binary32))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) x)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) x))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (PI.f32) x))) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1 binary32)) (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
(.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 x (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x)))) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 #s(literal -1 binary32) (.f32 (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) x))) (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (PI.f32)) (/.f32 (.f32 x tau) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (PI.f32))) (neg.f32 (/.f32 (.f32 x tau) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x)))) (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau)))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x)))))
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(.f32 (.f32 (.f32 (PI.f32) (.f32 x x)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
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simplify369.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

6522×	`-lowering-.f32`
6522×	`-lowering-.f64`
3748×	`+-lowering-+.f64`
3748×	`+-lowering-+.f32`
1916×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	618	8654
1	2224	7468
0	8296	7468

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* 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
(* 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)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 tau)
(+ (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))) (/ 1 tau))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/720 (* (pow tau 5) (pow (PI) 6))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow tau 3) (pow (PI) 4))) (* 1/120 (* (pow tau 3) (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))) (/ 1 tau))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ 1 tau)
(/ (+ 1 (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ 1 (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/ (+ 1 (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 6))) (+ (* 1/720 (* (pow x 6) (pow (PI) 6))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 4))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))) tau)
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(/ (* x (PI)) (sin (* tau (* x (PI)))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* 1/36 (* (pow x 4) (pow (PI) 4)))
(+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))
(+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/18 (* (pow x 4) (pow (PI) 4))))))
(+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/18 (* (pow x 4) (pow (PI) 4))))))
(* 1/36 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* 1/36 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))
(- (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* (pow tau 2) (- (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (/ 1 (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)))
(- (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* (pow tau 2) (- (+ (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* (pow tau 2) (- (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)))))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (/ 1 (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)))
(- (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* (pow tau 2) (- (+ (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* (pow tau 2) (- (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* 1/6 (/ (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (- (* -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) (- (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)))))) (* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1))) (pow (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) 2)))))) (/ 1 (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (- (+ (* -1/3 (/ (* (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)) (pow tau 2)))))
(* (pow tau 2) (- (+ (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (+ (* -1/3 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))) (+ (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))))
(* (pow tau 2) (- (+ (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (+ (* -1/3 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 6 (/ (* (- (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow x 2) (pow (PI) 2)))) (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow x 2) (pow (PI) 2))))) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)) (* (pow tau 6) (* (pow x 2) (pow (PI) 2))))) (/ 1 (pow tau 2)))))) (+ (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow tau 4) (* (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) (- (+ (* -1/3 (/ (* (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)) (pow tau 2)))))
(* (pow tau 2) (- (+ (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (+ (* -1/3 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))) (+ (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))))
(* (pow tau 2) (- (+ (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (+ (* -1/3 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 6 (/ (* (- (* -6 (/ (- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1) (* (pow x 2) (pow (PI) 2)))) (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow x 2) (pow (PI) 2))))) (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1)) (* (pow tau 6) (* (pow x 2) (pow (PI) 2))))) (/ 1 (pow tau 2)))))) (+ (* -6 (/ (* (- (* -1/6 (* (pow x 2) (pow (PI) 2))) 1) (- (+ 1 (* -1/3 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* (pow tau 4) (* (pow x 2) (pow (PI) 2))))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))))
1
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(- (* 1/36 (* (pow x 4) (pow (PI) 4))) 1)
(- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))) 1)
(- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/18 (* (pow x 4) (pow (PI) 4)))))) 1)
(- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/18 (* (pow x 4) (pow (PI) 4)))))) 1)
(* 1/36 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))) (/ 1 (pow tau 4))))
(* (pow tau 4) (- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))) (/ 1 (pow tau 4))))
(* 1/36 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))) (/ 1 (pow tau 4))))
(* (pow tau 4) (- (+ (* 1/36 (* (pow x 4) (pow (PI) 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (* 1/18 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))) (/ 1 (pow tau 4))))
-1
(- (* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2))) 1)
(- (* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2))) 1)
(- (* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2))) 1)
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* (pow x 4) (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* (pow x 4) (- (* (pow (PI) 4) (pow (- (* -1/6 (pow tau 2)) 1/6) 2)) (/ 1 (pow x 4))))
(* -1/6 (pow (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
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(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* 1/6 (* tau (* (pow x 2) (pow (PI) 3))))
(* (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))

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

eval210.0ms (1.5%)

Compiler: Compiled 69429 to 3927 computations (94.3% saved)

prune290.0ms (2.1%)

Pruning

75 alts after pruning (67 fresh and 8 done)

	Pruned	Kept	Total
New	1578	25	1603
Fresh	11	42	53
Picked	2	3	5
Done	0	5	5
Total	1591	75	1666

Accuracy

99.9%

Counts

1666 → 75

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.3%	(/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) x) (.f32 (PI.f32) (.f32 x tau)))) (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) x)))) #s(literal 2 binary32)) tau) (.f32 (PI.f32) (.f32 x (.f32 x (PI.f32)))))
	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)))
✓	97.2%	(/.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)))))
	80.8%	(/.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
	80.3%	(/.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
	62.3%	(/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (PI.f32)) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (PI.f32)))) x) (.f32 (PI.f32) (*.f32 x tau)))
	97.0%	(/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) x) tau)) x) (/.f32 (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))))
	85.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (*.f32 tau #s(literal 1/6 binary32)))))) x)
✓	98.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) tau) (sin.f32 (.f32 x (PI.f32)))))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (*.f32 x tau)))))
	16.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 1/6 binary32) tau)))
	85.4%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 tau (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))))
	73.0%	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 tau (PI.f32)))
✓	97.7%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	79.0%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 tau #s(literal 1/6 binary32))))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 x (PI.f32)))))
	61.1%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (*.f32 x tau)))
✓	61.1%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	5.6%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) #s(literal 2 binary32)) (.f32 (PI.f32) x)) (/.f32 #s(literal 1/2 binary32) (.f32 x (PI.f32)))) (.f32 (PI.f32) (.f32 x tau)))
	62.3%	(/.f32 (-.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (-.f32 (.f32 x tau) x))) #s(literal 2 binary32)) tau) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) x))) #s(literal 2 binary32)) tau)) (.f32 (PI.f32) (.f32 x (*.f32 x (PI.f32)))))
	44.3%	(/.f32 (-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (PI.f32))) x) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	45.2%	(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) (.f32 (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	31.3%	(/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) x)) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) (.f32 x #s(literal 2 binary32))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau)))
	71.8%	(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32)))
	67.3%	(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	80.7%	(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	79.9%	(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	79.9%	(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	64.3%	(/.f32 (-.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (*.f32 x #s(literal 2 binary32))))
	64.3%	(/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (PI.f32) (*.f32 x #s(literal 2 binary32)))))
	61.6%	(/.f32 (+.f32 (pow.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 x tau) x))) #s(literal 3 binary32))) (+.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (-.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32)))))))) (.f32 (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32))))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) x) (+.f32 tau #s(literal -1 binary32)))) (.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 x #s(literal 2 binary32)))) (/.f32 (/.f32 (cos.f32 (.f32 (PI.f32) (.f32 x (+.f32 tau #s(literal 1 binary32))))) #s(literal -2 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 x tau) x)))))))
	80.9%	(/.f32 (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) x) (sin.f32 (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
	85.1%	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
	97.3%	(/.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32)))))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
✓	97.3%	(/.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)))))
	97.0%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)) (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau))))
	96.9%	(/.f32 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	80.7%	(/.f32 (.f32 tau (+.f32 (PI.f32) (.f32 (.f32 tau (.f32 tau (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
	66.1%	(/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
	62.3%	(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (.f32 x (PI.f32))) (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau)))) (.f32 x (PI.f32))))) (.f32 (PI.f32) (*.f32 x tau)))
	67.1%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	85.3%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))) (*.f32 x tau)))
	64.2%	(/.f32 (neg.f32 (/.f32 (-.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (.f32 x (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))))) (.f32 (PI.f32) (.f32 x #s(literal 2 binary32))))) (.f32 tau (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32)))))
	67.1%	(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))))
	80.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (PI.f32)))) (+.f32 tau (.f32 (.f32 tau (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	79.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
	78.9%	(/.f32 #s(literal -1 binary32) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
	68.6%	(-.f32 (/.f32 (/.f32 (cos.f32 (.f32 x (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (.f32 x (.f32 (.f32 (.f32 (PI.f32) x) (PI.f32)) 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))))))
	72.7%	(-.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 tau (.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))))
	34.5%	(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x x)) (/.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))))))
	51.0%	(-.f32 (/.f32 (+.f32 (.f32 #s(literal -1/4 binary32) (.f32 (.f32 x x) (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)))) (/.f32 #s(literal 1/2 binary32) (.f32 tau (.f32 (PI.f32) (PI.f32))))) (.f32 x x)) (/.f32 (/.f32 (cos.f32 (.f32 (.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))))))
	81.2%	(+.f32 (/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) (/.f32 (.f32 (.f32 tau (.f32 tau (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))))
	80.1%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 1/6 binary32))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) x))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
	85.4%	(+.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)))))))))
	80.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (PI.f32))))
	72.2%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))))
	67.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
	67.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	72.2%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))))
	96.3%	(.f32 (/.f32 (sin.f32 (.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))))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	97.8%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
	96.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))))
	86.3%	(.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)))))))
	73.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	4.3%	(.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))
	79.1%	(.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 x x) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal -1/3 binary32))) (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 tau tau)) (/.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau tau))))))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
	4.3%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))
	85.3%	(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 #s(literal 1 binary32) (.f32 x (+.f32 (.f32 (PI.f32) tau) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (*.f32 tau #s(literal 1/6 binary32))))))))
	16.4%	(.f32 #s(literal 6 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 x x)) (.f32 tau (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
✓	66.4%	#s(literal 1 binary32)
✓	6.3%	#s(literal 0 binary32)

Compiler

Compiled 5781 to 1829 computations (68.4% saved)

regimes154.0ms (1.1%)

Counts

113 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	x
33.0ms	(.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))))
32.0ms	tau
31.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes123.0ms (0.9%)

Counts

82 → 1

Calls

Call 1

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

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

Calls

4 calls:

24.0ms	(.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))))
24.0ms	(*.f32 x (PI.f32))
23.0ms	tau
21.0ms	x

Results

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

Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes78.0ms (0.6%)

Counts

69 → 1

Calls

Call 1

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

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:

23.0ms	(*.f32 x (PI.f32))
22.0ms	tau
17.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes72.0ms (0.5%)

Counts

68 → 1

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	tau
19.0ms	(*.f32 x (PI.f32))
19.0ms	x

Results

Accuracy	Segments	Branch
86.3%	1	`x`
86.3%	1	`tau`
86.3%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes61.0ms (0.4%)

Counts

45 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#s(literal 1 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 binary32) (.f32 (.f32 x x) (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau 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)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32)))))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))))
(/.f32 (.f32 tau (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal -1/6 binary32)))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (PI.f32)) (.f32 (.f32 x (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) x))
(/.f32 #s(literal -1 binary32) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau)))))
(.f32 #s(literal -1/4 binary32) (-.f32 (.f32 (+.f32 tau #s(literal -1 binary32)) (/.f32 (+.f32 tau #s(literal -1 binary32)) tau)) (*.f32 (+.f32 #s(literal 1 binary32) tau) (/.f32 (+.f32 #s(literal 1 binary32) tau) tau))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) #s(literal -1/6 binary32)) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) #s(literal 1/6 binary32))))
(/.f32 (.f32 tau (+.f32 (PI.f32) (.f32 (.f32 tau (.f32 tau (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))))) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) x) (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(+.f32 (/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) (/.f32 (.f32 (.f32 tau (.f32 tau (.f32 x x))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))) (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 x x) (.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal -1/3 binary32))) (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 tau tau)) (/.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 tau tau))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32)) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (.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 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32)))))) (-.f32 #s(literal 1 binary32) (.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 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))))) (+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (.f32 (PI.f32) (PI.f32))))))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 x (.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (*.f32 tau (PI.f32)))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(.f32 #s(literal 6 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 x x)) (.f32 tau (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 #s(literal 1/6 binary32) tau)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (PI.f32)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

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

Calls

3 calls:

31.0ms	x
13.0ms	tau
12.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes27.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

10.0ms	x
8.0ms	tau
7.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
80.9%	1	`x`
80.9%	1	`(*.f32 x (PI.f32))`
80.9%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes29.0ms (0.2%)

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

14.0ms	x
7.0ms	tau
7.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.1%	1	`tau`
80.1%	1	`x`
80.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.1%	1	`x`
80.1%	1	`(*.f32 x (PI.f32))`
80.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	tau
5.0ms	(*.f32 x (PI.f32))
5.0ms	x

Results

Accuracy	Segments	Branch
80.1%	1	`tau`
80.1%	1	`x`
80.1%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	tau
4.0ms	x

Results

Accuracy	Segments	Branch
80.1%	1	`x`
80.1%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	tau
3.0ms	x

Results

Accuracy	Segments	Branch
72.2%	1	`x`
72.2%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
67.4%	1	`tau`
67.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

2 calls:

1.0ms	tau
1.0ms	x

Results

Accuracy	Segments	Branch
66.4%	1	`x`
66.4%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary32)

Outputs
#s(literal 0 binary32)

Calls

2 calls:

1.0ms	tau
1.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative_binary32`
32×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	320
1	147	320

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness3.0s (22.1%)

Rules

6522×	`-lowering-.f32`
6522×	`-lowering-.f64`
5878×	`-lowering-.f32`
5878×	`-lowering-.f64`
5240×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	703	9111
1	2502	8076
2	6005	7661
0	8176	7661
0	647	7747
1	2364	6948
2	6303	6767
0	8770	6767
0	618	8654
1	2224	7468
0	8296	7468
0	17	105
1	101	105
2	778	98
3	7573	98
0	8437	98
0	55	311
1	355	295
2	3421	279
0	8644	279
0	265	3255
1	931	2974
2	4084	2860
0	8093	2860
0	47	272
1	285	246
2	2789	237
0	8405	237

Stop Event

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

Compiler

Compiled 652 to 313 computations (52% saved)

preprocess77.0ms (0.6%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1886 to 762 computations (59.6% saved)

analyze52.0ms (0.4%)

sample2.0s (15.1%)

preprocess110.0ms (0.8%)

explain159.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.2%)

localize142.0ms (1.1%)

series37.0ms (0.3%)

rewrite393.0ms (2.9%)

simplify337.0ms (2.5%)

eval207.0ms (1.5%)

prune219.0ms (1.6%)

simplify290.0ms (2.1%)

localize318.0ms (2.3%)

series60.0ms (0.4%)

rewrite454.0ms (3.4%)

simplify414.0ms (3.1%)

eval284.0ms (2.1%)

prune562.0ms (4.2%)

simplify261.0ms (1.9%)

localize338.0ms (2.5%)

series69.0ms (0.5%)

rewrite412.0ms (3%)

simplify358.0ms (2.6%)

eval186.0ms (1.4%)

prune270.0ms (2%)

simplify253.0ms (1.9%)

localize253.0ms (1.9%)

series44.0ms (0.3%)

rewrite378.0ms (2.8%)

simplify369.0ms (2.7%)

eval210.0ms (1.5%)

prune290.0ms (2.1%)

regimes154.0ms (1.1%)

regimes123.0ms (0.9%)

regimes78.0ms (0.6%)

regimes72.0ms (0.5%)

regimes61.0ms (0.4%)

regimes27.0ms (0.2%)

regimes29.0ms (0.2%)

regimes23.0ms (0.2%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify13.0ms (0.1%)

soundness3.0s (22.1%)

preprocess77.0ms (0.6%)

end0.0ms (0%)

Profiling