Metrics for Lanczos kernel

analyze21.0ms (0.1%)

Memory

-0.6MiB live, 38.4MiB allocated

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 37 to 21 computations (43.2% saved)

sample1.5s (8.2%)

Memory

37.5MiB live, 2 387.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-sin: 306.0ms (33.6% of total)

ival-mult: 158.0ms (17.4% of total)

ival-div: 146.0ms (16% of total)

const: 119.0ms (13.1% of total)

ival-<=: 104.0ms (11.4% of total)

ival-pi: 45.0ms (4.9% of total)

ival-and: 21.0ms (2.3% of total)

exact: 8.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess107.0ms (0.6%)

Memory

-39.4MiB live, 80.7MiB allocated

Algorithm

2×	egg-herbie

Rules

1 002×	`distribute-neg-frac`
956×	`neg-sub0`
894×	`neg-mul-1`
844×	`distribute-frac-neg2`
840×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	136
1	106	136
2	488	128
3	2592	128
4	5193	128
5	6775	128
6	7594	128
7	7888	128
0	10	21
1	23	21
2	80	21
3	284	21
4	678	21
5	1058	21
6	1093	21
7	1093	21
0	1093	21

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

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

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

Call 2

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

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

Symmetry

(abs x)

(abs tau)

explain137.0ms (0.8%)

Memory

-8.1MiB live, 263.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.5884149670600891 1.7260135412216187)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Confusion

	Predicted +	Predicted -
+	0	3
-	0	253

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	3
-	0	0	253

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	1
-	0	0	0

Precision?

0/0

Recall?

0.0

Samples

55.0ms

512×

valid

Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 13.0ms (39.8% of total)

ival-mult: 9.0ms (27.5% of total)

ival-div: 8.0ms (24.5% of total)

ival-pi: 2.0ms (6.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 23 to 14 computations (39.1% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
▶	98.0%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Status

Accuracy

Program

▶

96.7%

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

▶

98.0%

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

Compiler

Compiled 46 to 24 computations (47.8% saved)

simplify54.0ms (0.3%)

Memory

-2.0MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	54	142
2	167	142
3	577	142
4	1087	142
5	1137	142
0	1137	142

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize92.0ms (0.5%)

Memory

7.5MiB live, 121.7MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

66.0ms

256×

valid

Compiler

Compiled 144 to 21 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 40.0ms (72.9% of total)

ival-sin: 10.0ms (18.2% of total)

ival-div: 4.0ms (7.3% of total)

ival-pi: 1.0ms (1.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory

-1.7MiB live, 76.3MiB allocated

Counts

11 → 228

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
7.0ms	tau	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms	x	@	-inf	(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (* (PI) (* (PI) tau)))))
2.0ms	x	@	0	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	inf	(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms	x	@	-inf	(* x (PI))

rewrite348.0ms (2%)

Memory

22.7MiB live, 650.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 146×	`-lowering-.f32`
6 146×	`-lowering-.f64`
3 692×	`accelerator-lowering-fma.f32`
3 692×	`accelerator-lowering-fma.f64`
2 874×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	102	103
2	786	99
3	6931	99
0	8133	99

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 853

Calls

Call 1

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

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

simplify588.0ms (3.3%)

Memory

2.3MiB live, 1 308.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 784×	`accelerator-lowering-fma.f32`
15 784×	`accelerator-lowering-fma.f64`
5 954×	`-lowering-.f32`
5 954×	`-lowering-.f64`
5 172×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	3222
1	864	3154
2	3387	3068
3	6495	3068
4	7355	3068
5	7923	3068
0	8222	2967

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 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 (.f32 x 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 #s(literal 1 binary32) (.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)))))
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(.f32 tau (.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(.f32 tau (.f32 (PI.f32) (PI.f32)))

eval156.0ms (0.9%)

Memory: 19.7MiB live, 347.9MiB allocated
Compiler: Compiled 34 231 to 2 430 computations (92.9% saved)

prune165.0ms (0.9%)

Memory

-21.8MiB live, 504.6MiB allocated

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1 328	33	1 361
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1 329	34	1 363

Accuracy

99.8%

Counts

1 363 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.4%	(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
▶	97.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	97.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x))
▶	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
	97.3%	(/.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)
	97.4%	(/.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)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	63.9%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	96.6%	(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (*.f32 x x))
	96.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	65.0%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))))
▶	83.9%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
	78.4%	(+.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))))))
▶	97.7%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
	97.3%	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
	79.1%	(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.0%	(.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))))
	94.9%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
	84.4%	(.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.3%	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
	79.3%	(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	97.0%	(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
	91.9%	(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))) #s(literal -1 binary32)))
▶	64.2%	#s(literal 1 binary32)

Compiler

Compiled 1 859 to 1 044 computations (43.8% saved)

simplify453.0ms (2.5%)

Memory

24.0MiB live, 731.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
✓	cost-diff	0	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
✓	cost-diff	3232	(pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
✓	cost-diff	128	(+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32))))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Rules

14 386×	`accelerator-lowering-fma.f32`
14 386×	`accelerator-lowering-fma.f64`
5 174×	`-lowering-.f32`
5 174×	`-lowering-.f64`
4 792×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	492
1	114	476
2	416	460
3	1863	458
4	5625	458
5	6274	458
6	6407	458
7	6484	458
8	6638	458
9	6680	458
0	8697	436

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize207.0ms (1.2%)

Memory

2.2MiB live, 355.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	99.0%	(/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.3%	(.f32 (.f32 tau tau) (*.f32 tau tau))
✓	accuracy	98.1%	(.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau)))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	95.0%	(pow.f32 (PI.f32) #s(literal 4 binary32))
✓	accuracy	98.9%	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.6%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Samples

117.0ms

256×

valid

Compiler

Compiled 496 to 42 computations (91.5% saved)

Precisions

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

const: 45.0ms (46.5% of total)

ival-mult: 23.0ms (23.8% of total)

ival-div: 10.0ms (10.3% of total)

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

ival-add: 5.0ms (5.2% of total)

ival-pow: 5.0ms (5.2% of total)

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

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series58.0ms (0.3%)

Memory

20.2MiB live, 58.1MiB allocated

Counts

21 → 348

Calls

Call 1

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

Calls

87 calls:

Time	Variable		Point	Expression
20.0ms	tau	@	inf	(* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36)))))))
7.0ms	x	@	inf	(/ (PI) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))))
1.0ms	x	@	0	(/ (PI) (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))))
1.0ms	tau	@	0	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))
1.0ms	x	@	0	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ 1/120 (* (* tau tau) 1/36))))))))

rewrite578.0ms (3.2%)

Memory

-20.8MiB live, 759.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 722×	`accelerator-lowering-fma.f32`
4 722×	`accelerator-lowering-fma.f64`
4 348×	`-lowering-.f32`
4 348×	`-lowering-.f64`
4 234×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	261
1	250	249
2	2281	245
0	8633	234

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 009

Calls

Call 1

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

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

simplify689.0ms (3.9%)

Memory

8.6MiB live, 1 103.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 194×	`accelerator-lowering-fma.f32`
17 194×	`accelerator-lowering-fma.f64`
8 866×	`-lowering-.f32`
8 866×	`-lowering-.f64`
4 476×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	6498
1	1441	6316
2	5812	6208
0	8932	5912

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval902.0ms (5.1%)

Memory: 13.2MiB live, 441.6MiB allocated
Compiler: Compiled 76 861 to 5 023 computations (93.5% saved)

prune345.0ms (1.9%)

Memory

-6.9MiB live, 750.0MiB allocated

Pruning

53 alts after pruning (51 fresh and 2 done)

	Pruned	Kept	Total
New	2 196	35	2 231
Fresh	12	16	28
Picked	4	1	5
Done	0	1	1
Total	2 212	53	2 265

Accuracy

99.8%

Counts

2 265 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) tau) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
	83.8%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	83.9%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	71.1%	(/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	71.0%	(/.f32 (/.f32 (.f32 x (PI.f32)) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	96.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
▶	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))
	77.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 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)))))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) tau) (PI.f32))))
	95.9%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	78.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32))))))
	64.9%	(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
	97.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
	70.8%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	83.1%	(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32)))
	83.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.4%	(/.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)))
	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
▶	97.0%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	84.1%	(/.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	63.9%	(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	95.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (*.f32 x x))
	96.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
▶	71.1%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))))
	83.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))))))
	83.8%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))))
	83.7%	(+.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32))))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32)))
	83.9%	(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32))
	83.9%	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)))
▶	79.8%	(+.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 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32)))))))))
	83.6%	(+.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
	83.9%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))))))
	78.4%	(+.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))))))
▶	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
	96.0%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	96.4%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) x))
	71.1%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (PI.f32))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
	84.4%	(.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.3%	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
	84.2%	(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
	79.0%	(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
	13.4%	(.f32 (.f32 (.f32 tau tau) (.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))))
✓	64.2%	#s(literal 1 binary32)

Compiler

Compiled 3 256 to 1 759 computations (46% saved)

simplify680.0ms (3.8%)

Memory

-1.3MiB live, 771.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	64	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
✓	cost-diff	0	(+.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 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32)))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32)))))))))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	128	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
✓	cost-diff	0	(*.f32 x (PI.f32))
✓	cost-diff	0	(sin.f32 (*.f32 x (PI.f32)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	cost-diff	0	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))

Rules

18 866×	`accelerator-lowering-fma.f32`
18 866×	`accelerator-lowering-fma.f64`
5 594×	`+-lowering-+.f64`
5 594×	`+-lowering-+.f32`
3 700×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	468
1	127	462
2	488	458
3	1972	458
4	5159	458
0	8060	436

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize267.0ms (1.5%)

Memory

-5.3MiB live, 403.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
✓	accuracy	98.9%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.6%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
✓	accuracy	98.8%	(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
✓	accuracy	98.7%	(.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	95.0%	(pow.f32 (PI.f32) #s(literal 4 binary32))
✓	accuracy	99.0%	(/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
✓	accuracy	98.9%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
✓	accuracy	98.8%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	99.2%	(.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))))
✓	accuracy	99.0%	(.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))
✓	accuracy	98.8%	(.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32))))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.0%	(*.f32 (PI.f32) tau)
✓	accuracy	98.9%	(/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
✓	accuracy	98.8%	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	accuracy	98.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))

Samples

167.0ms

256×

valid

Compiler

Compiled 468 to 46 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

const: 59.0ms (43% of total)

ival-mult: 44.0ms (32.1% of total)

ival-div: 13.0ms (9.5% of total)

ival-sin: 10.0ms (7.3% of total)

ival-add: 7.0ms (5.1% of total)

ival-pow: 2.0ms (1.5% of total)

ival-pi: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory

-10.8MiB live, 65.0MiB allocated

Counts

27 → 468

Calls

Call 1

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

Calls

117 calls:

Time	Variable		Point	Expression
2.0ms	tau	@	inf	(* x (* x (* -1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))))
1.0ms	tau	@	inf	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ 1/120 (* tau (* tau 1/36))))))))
1.0ms	x	@	-inf	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))
1.0ms	tau	@	0	(+ 1 (* (* x x) (+ (* (* (PI) (PI)) (+ -1/6 (* -1/6 (* tau tau)))) (* (* x x) (* (pow (PI) 4) (+ 1/120 (* tau (* tau 1/36))))))))
1.0ms	x	@	0	(/ (sin (* x (PI))) (/ (* x (PI)) (sin (* x (* (PI) tau)))))

rewrite523.0ms (2.9%)

Memory

25.7MiB live, 1 028.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 352×	`accelerator-lowering-fma.f32`
5 352×	`accelerator-lowering-fma.f64`
4 824×	`/-lowering-/.f32`
4 824×	`/-lowering-/.f64`
4 368×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	327
1	280	319
2	2645	311
0	8878	294

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1 282

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (/.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (.f32 x (PI.f32))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (neg.f32 (.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 x (PI.f32)) (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 x) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) tau) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) tau))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) x) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))) x) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (neg.f32 (neg.f32 (.f32 x (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (-.f32 #s(literal 0 binary32) (.f32 (PI.f32) tau)))) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (/.f32 (.f32 (.f32 x (.f32 (PI.f32) tau)) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (.f32 x (.f32 (PI.f32) tau)) (/.f32 (-.f32 #s(literal 0 binary32) (.f32 x (PI.f32))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))))
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(fma.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 tau tau) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (.f32 tau #s(literal -1/6 binary32)) (.f32 tau (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (.f32 (.f32 tau tau) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau #s(literal -1/6 binary32))) tau (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(-.f32 (/.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (/.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))))
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(/.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
(/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau)))))) (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))))
(/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))))
(/.f32 (.f32 (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))))
(/.f32 (neg.f32 (+.f32 (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (neg.f32 (+.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (-.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))))) (neg.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32))))))
(/.f32 (neg.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))))) (neg.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (+.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))
(.f32 (PI.f32) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau)))))
(.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(.f32 #s(literal -1/6 binary32) (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))
(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
(.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))))
(.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))))
(.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 #s(literal 1 binary32) (.f32 tau tau)))
(.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32)))
(.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau)))) (PI.f32))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau)))) (PI.f32))
(.f32 tau (.f32 tau #s(literal -1/6 binary32)))
(.f32 #s(literal -1/6 binary32) (.f32 tau tau))
(.f32 (.f32 tau tau) #s(literal -1/6 binary32))
(.f32 (.f32 tau #s(literal -1/6 binary32)) tau)

simplify632.0ms (3.5%)

Memory

-7.7MiB live, 952.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 194×	`accelerator-lowering-fma.f32`
13 194×	`accelerator-lowering-fma.f64`
9 110×	`-lowering-.f32`
9 110×	`-lowering-.f64`
2 382×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	489	8392
1	1658	8172
2	6685	8144
0	8121	7714

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

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

Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau)))) (.f32 x #s(literal -1/6 binary32)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x 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 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 x x) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.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 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (.f32 (.f32 tau tau) #s(literal -1/720 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) #s(literal -1/720 binary32)))))))) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (.f32 (sin.f32 (.f32 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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 x (.f32 tau (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))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (+ (/ 1 (pow tau 2)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (+ (/ 1 (pow tau 2)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (+ (/ 1 (pow tau 2)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
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(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
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(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
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(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
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(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
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(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))
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(* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 2) (+ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(pow x 2)
(*.f32 x x)
(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))
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eval342.0ms (1.9%)

Memory: 21.4MiB live, 640.8MiB allocated
Compiler: Compiled 86 902 to 6 849 computations (92.1% saved)

prune538.0ms (3%)

Memory

-26.7MiB live, 973.7MiB allocated

Pruning

82 alts after pruning (79 fresh and 3 done)

	Pruned	Kept	Total
New	2 723	47	2 770
Fresh	14	32	46
Picked	4	1	5
Done	0	2	2
Total	2 741	82	2 823

Accuracy

99.8%

Counts

2 823 → 82

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) tau) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
	83.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	83.8%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	83.9%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	71.1%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) x)
	71.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
	96.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	96.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
✓	97.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))
	77.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.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 x (.f32 (PI.f32) tau)))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x)) (.f32 x (.f32 (PI.f32) tau)))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) tau) (PI.f32))))
	78.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32))))))
	97.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
	70.8%	(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	83.1%	(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32)))
	83.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
▶	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau)))))
	84.1%	(/.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	83.3%	(/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	95.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (*.f32 x x))
	70.9%	(/.f32 (.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	77.7%	(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
	96.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	71.1%	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
	70.8%	(/.f32 (PI.f32) (/.f32 (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32)))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	69.9%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) tau)))))
	69.8%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) tau)))))
	70.9%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))) (.f32 x (*.f32 (PI.f32) tau)))))
▶	70.4%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	70.1%	(/.f32 (PI.f32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))))
	69.4%	(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
	69.7%	(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 7/360 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32)))))))
▶	70.9%	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) tau))
	71.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
	71.0%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))))
	77.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))))))
	79.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))))
	83.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))))))
	83.8%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))))
	79.8%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x)))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))))
	83.7%	(+.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32))))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32)))
▶	79.8%	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
	83.9%	(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x x)))
	83.9%	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) #s(literal 1/120 binary32))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal 1/46656 binary32)))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal 1/120 binary32))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
	83.6%	(+.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
	65.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
▶	65.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
	96.4%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) x))
	70.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
	84.4%	(.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
	71.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
	97.4%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	65.3%	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
	84.2%	(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
	13.4%	(.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
	4.3%	(.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
✓	64.2%	#s(literal 1 binary32)

Compiler

Compiled 5 323 to 2 864 computations (46.2% saved)

simplify640.0ms (3.6%)

Memory

-20.1MiB live, 1 120.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(PI.f32)
✓	cost-diff	64	(*.f32 (PI.f32) (log.f32 (E.f32)))
✓	cost-diff	128	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
✓	cost-diff	3200	(log.f32 (E.f32))
✓	cost-diff	0	(.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (PI.f32)))
✓	cost-diff	0	(.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) tau)
✓	cost-diff	0	(PI.f32)
✓	cost-diff	128	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) tau))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 (PI.f32) (PI.f32))
✓	cost-diff	0	(.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x)))
✓	cost-diff	256	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 x (.f32 (PI.f32) (PI.f32)))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 x (*.f32 (PI.f32) (PI.f32))))
✓	cost-diff	0	(.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
✓	cost-diff	0	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	cost-diff	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau)
✓	cost-diff	0	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	cost-diff	0	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))

Rules

28 294×	`accelerator-lowering-fma.f32`
28 294×	`accelerator-lowering-fma.f64`
6 238×	`-lowering-.f32`
6 238×	`-lowering-.f64`
4 852×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	443
1	154	425
2	528	409
3	2504	403
4	5455	403
5	5882	403
6	5956	403
7	5998	403
8	6077	403
9	6107	403
0	8253	390

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize173.0ms (1%)

Memory

33.3MiB live, 347.8MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

100.0ms

256×

valid

Compiler

Compiled 477 to 52 computations (89.1% saved)

Precisions

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

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

ival-div: 11.0ms (14% of total)

ival-sin: 11.0ms (14% of total)

const: 9.0ms (11.5% of total)

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

ival-log: 4.0ms (5.1% of total)

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

ival-pi: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory

-12.1MiB live, 64.2MiB allocated

Counts

26 → 408

Calls

Call 1

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

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	tau	@	0	(+ (* (* (PI) (PI)) (* (* -1/6 (+ 1 (* tau tau))) (* x x))) (+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ 1/120 (* tau (* tau 1/36)))) 1))
2.0ms	x	@	0	(/ (PI) (/ (PI) (/ (sin (* x (* (* (PI) (log (E))) tau))) (* x (* (PI) tau)))))
1.0ms	x	@	-inf	(/ (PI) (/ (PI) (/ (sin (* x (* (* (PI) (log (E))) tau))) (* x (* (PI) tau)))))
1.0ms	tau	@	-inf	(/ (PI) (/ (PI) (/ (sin (* x (* (* (PI) (log (E))) tau))) (* x (* (PI) tau)))))
1.0ms	tau	@	0	(/ (PI) (/ (PI) (/ (sin (* x (* (* (PI) (log (E))) tau))) (* x (* (PI) tau)))))

rewrite401.0ms (2.2%)

Memory

24.3MiB live, 936.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 704×	`/-lowering-/.f32`
4 704×	`/-lowering-/.f64`
4 432×	`accelerator-lowering-fma.f32`
4 432×	`accelerator-lowering-fma.f64`
4 416×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	264
1	298	242
2	2518	234
0	8631	227

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 108

Calls

Call 1

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

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

simplify532.0ms (3%)

Memory

-12.7MiB live, 935.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 352×	`accelerator-lowering-fma.f32`
8 352×	`accelerator-lowering-fma.f64`
5 616×	`-lowering-.f32`
5 616×	`-lowering-.f64`
4 430×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	6582
1	1984	6314
2	4631	6208
3	6449	6208
0	8117	5952

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

eval339.0ms (1.9%)

Memory: 46.6MiB live, 662.3MiB allocated
Compiler: Compiled 72 482 to 7 375 computations (89.8% saved)

prune923.0ms (5.2%)

Memory

-76.9MiB live, 1 725.0MiB allocated

Pruning

116 alts after pruning (111 fresh and 5 done)

	Pruned	Kept	Total
New	2 443	47	2 490
Fresh	10	64	74
Picked	2	3	5
Done	1	2	3
Total	2 456	116	2 572

Accuracy

99.8%

Counts

2 572 → 116

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.4%	(fma.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
	97.2%	(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) tau) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	65.3%	(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
	83.6%	(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	83.8%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	83.9%	(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
	96.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	71.0%	(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) tau)
	96.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	96.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
	77.7%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.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 x (.f32 (PI.f32) tau)))
	97.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x)) (.f32 x (.f32 (PI.f32) tau)))
	97.3%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x))
	97.4%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) tau) (PI.f32))))
	78.2%	(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32))))))
	97.9%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 tau (.f32 x (PI.f32))))
	70.9%	(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
	97.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	97.1%	(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
	83.1%	(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32)))
	65.3%	(/.f32 (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
	83.4%	(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) tau) (.f32 (.f32 x x) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
	65.3%	(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
	96.3%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
✓	97.5%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
	83.8%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))) (.f32 x (PI.f32)))
	97.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x x)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	96.1%	(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau)))))
	84.1%	(/.f32 (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	83.3%	(/.f32 (.f32 (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
	95.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
✓	96.7%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	97.2%	(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (*.f32 x x))
	70.9%	(/.f32 (.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
	71.1%	(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
	77.7%	(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
	77.7%	(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))) (*.f32 x (PI.f32)))
	96.0%	(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
	71.1%	(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
	70.9%	(/.f32 (PI.f32) (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau)))
	70.8%	(/.f32 (PI.f32) (/.f32 (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32)))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
	69.9%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) tau)))))
	69.8%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 (PI.f32) tau)))))
	70.9%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))) (.f32 x (*.f32 (PI.f32) tau)))))
✓	70.4%	(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
	70.1%	(/.f32 (PI.f32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))))
	70.8%	(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (*.f32 (PI.f32) (PI.f32))) tau))))
	69.4%	(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
	69.7%	(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 7/360 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32)))))))
	69.2%	(/.f32 (PI.f32) (.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (.f32 tau tau) #s(literal 1/6 binary32)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) tau) tau))
	70.8%	(/.f32 (PI.f32) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) tau))
	71.1%	(/.f32 (PI.f32) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32)))
	64.1%	(/.f32 (PI.f32) (*.f32 (/.f32 (PI.f32) tau) tau))
	70.6%	(/.f32 (PI.f32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) (PI.f32))))) tau))
	69.2%	(/.f32 (PI.f32) (.f32 (+.f32 (/.f32 (PI.f32) tau) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) tau))
	69.2%	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) x) (.f32 x (PI.f32))) tau))
	69.8%	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 x (+.f32 (.f32 tau (PI.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 x (PI.f32))) tau))
	64.0%	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau))
	64.0%	(/.f32 (PI.f32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (.f32 x (PI.f32))) tau))
	65.3%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))))
	65.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))))))
	71.1%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
	71.0%	(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))))
	70.8%	(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (PI.f32))))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))))
	77.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))))))
	79.1%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))))
	83.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))))))
	65.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
	65.3%	(-.f32 (/.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
	83.8%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))))
	79.8%	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x)))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))))
	79.8%	(+.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) x) x) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	83.7%	(+.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32))))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	69.9%	(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	69.9%	(+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
	79.8%	(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
	83.9%	(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x x)))
	83.9%	(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)))
	65.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x #s(literal -1/6 binary32))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
	83.6%	(+.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))))
	79.8%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))
	65.4%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))))
	65.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))))
	78.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
	65.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))))))
✓	65.4%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
	70.1%	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
	96.4%	(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) x))
	70.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
	70.9%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))
	96.1%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
	84.4%	(.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
	97.7%	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 x (PI.f32))))
	70.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (PI.f32) tau))
	70.7%	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
	70.8%	(.f32 (/.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
	65.3%	(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
	84.2%	(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
	13.4%	(.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
	4.4%	(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
✓	64.2%	#s(literal 1 binary32)

Compiler

Compiled 8 076 to 2 687 computations (66.7% saved)

regimes210.0ms (1.2%)

Memory

13.7MiB live, 361.2MiB allocated

Counts

164 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (PI.f32) (*.f32 (/.f32 (PI.f32) tau) tau))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x #s(literal -1/6 binary32))))
(.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))))))
(/.f32 (PI.f32) (.f32 (+.f32 (/.f32 (PI.f32) tau) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))))
(/.f32 (PI.f32) (.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (.f32 tau tau) #s(literal 1/6 binary32)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) tau) tau))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) x) (.f32 x (PI.f32))) tau))
(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))))
(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 x (+.f32 (.f32 tau (PI.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 x (PI.f32))) tau))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) x) x) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x)))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))))
(-.f32 (/.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32))))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
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(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) tau)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)) (.f32 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) x)) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) tau) (PI.f32)) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 x tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))) (/.f32 x (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) tau)))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (.f32 #s(literal -2 binary32) (/.f32 (.f32 (sin.f32 (/.f32 (.f32 x (-.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (.f32 x (+.f32 (.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) (log.f32 (E.f32))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (exp.f32 (log.f32 (PI.f32))))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))) #s(literal -1 binary32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3 binary32)) tau))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))) (.f32 x (PI.f32)))
(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) x))
(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))))) (.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (.f32 (.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (.f32 (.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))) (.f32 x (.f32 x (.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
(.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))))
(/.f32 (.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (.f32 x (.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sin.f32 (.f32 x (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (.f32 (.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))

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

Calls

4 calls:

49.0ms	(.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))))
46.0ms	tau
45.0ms	x
43.0ms	(*.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)

regimes136.0ms (0.8%)

Memory

-11.5MiB live, 183.6MiB allocated

Counts

122 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (PI.f32) (*.f32 (/.f32 (PI.f32) tau) tau))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x #s(literal -1/6 binary32))))
(.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))))))
(/.f32 (PI.f32) (.f32 (+.f32 (/.f32 (PI.f32) tau) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))))
(/.f32 (PI.f32) (.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (.f32 tau tau) #s(literal 1/6 binary32)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) tau) tau))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) x) (.f32 x (PI.f32))) tau))
(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))))
(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 x (+.f32 (.f32 tau (PI.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 x (PI.f32))) tau))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
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(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (.f32 x (.f32 (+.f32 (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (PI.f32))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))) (.f32 x (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32)))))))))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 tau tau) (+.f32 (.f32 (.f32 (.f32 tau tau) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 7/360 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x x) #s(literal 1/6 binary32)))))))
(.f32 (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (.f32 tau tau) (.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (.f32 tau tau)))))))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (.f32 tau tau) (.f32 (.f32 tau tau) #s(literal 1/120 binary32))))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(/.f32 (-.f32 (.f32 (.f32 x x) (.f32 (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))))))
(.f32 (pow.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (PI.f32))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

3 calls:

38.0ms	(*.f32 x (PI.f32))
34.0ms	x
32.0ms	tau

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes148.0ms (0.8%)

Memory

32.1MiB live, 146.3MiB allocated

Counts

120 → 1

Calls

Call 1

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

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

Calls

3 calls:

58.0ms	tau
39.0ms	(*.f32 x (PI.f32))
31.0ms	x

Results

Accuracy	Segments	Branch
84.4%	1	`x`
84.4%	1	`tau`
84.4%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes109.0ms (0.6%)

Memory

-0.9MiB live, 152.3MiB allocated

Counts

99 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(/.f32 (PI.f32) (*.f32 (/.f32 (PI.f32) tau) tau))
(.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 x x)) (.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x #s(literal -1/6 binary32))))
(.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 x tau)) (.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 tau (.f32 tau (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 tau tau) #s(literal 1 binary32)) (.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 (PI.f32) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 tau tau) (.f32 x (.f32 #s(literal -1/6 binary32) (.f32 x (.f32 (PI.f32) (PI.f32)))))))))
(/.f32 (.f32 (.f32 x x) (.f32 tau (.f32 (PI.f32) (PI.f32)))) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))))))
(/.f32 (PI.f32) (.f32 (+.f32 (/.f32 (PI.f32) tau) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 tau (.f32 x x)) (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) tau))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 (.f32 tau tau) (.f32 #s(literal -1/6 binary32) (.f32 x (+.f32 (.f32 (PI.f32) (PI.f32)) (/.f32 (.f32 (PI.f32) (PI.f32)) (.f32 tau tau))))))))
(/.f32 (PI.f32) (.f32 (/.f32 (+.f32 (PI.f32) (.f32 (.f32 (.f32 tau tau) #s(literal 1/6 binary32)) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) tau) tau))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (+.f32 (.f32 (.f32 #s(literal 1/6 binary32) tau) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) x) (.f32 x (PI.f32))) tau))
(/.f32 (.f32 x (+.f32 (PI.f32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))))) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (/.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau)))))))
(/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 (.f32 x x) #s(literal -1/6 binary32)) (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (+.f32 tau (.f32 tau (.f32 tau tau))))))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (.f32 x (+.f32 (.f32 tau (PI.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 x (PI.f32))) tau))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 tau (+.f32 (.f32 x (PI.f32)) (.f32 (.f32 tau tau) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32))))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (.f32 x (+.f32 (.f32 tau (PI.f32)) (.f32 (.f32 tau (.f32 tau (.f32 (.f32 x x) tau))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (-.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 (.f32 x x) (.f32 (PI.f32) (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (+.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) x) x) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (.f32 (.f32 x (PI.f32)) (.f32 x (PI.f32)))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x)))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 tau tau)) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32)))) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))))))))
(-.f32 (/.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (-.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 (.f32 x x) (.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (PI.f32)) (+.f32 (.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) (.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 tau tau) #s(literal 1/36 binary32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (.f32 x x)))
(+.f32 (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 tau (.f32 tau (.f32 tau tau)))) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 tau tau))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32))))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32)))
(+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) (PI.f32)) (.f32 (PI.f32) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))))) (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 tau tau) #s(literal -1/6 binary32)))) (.f32 x (.f32 x (.f32 (+.f32 #s(literal 1/120 binary32) (+.f32 (.f32 (.f32 tau tau) #s(literal 1/36 binary32)) (.f32 tau (.f32 (.f32 tau (.f32 tau tau)) #s(literal 1/120 binary32))))) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x (.f32 (PI.f32) (PI.f32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (.f32 x (.f32 x (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 #s(literal -1/6 binary32) (.f32 tau tau)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))) (.f32 x x))) (+.f32 (.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 x (.f32 (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x (.f32 x x)) #s(literal -1/216 binary32)) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (.f32 x (*.f32 (PI.f32) (PI.f32)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (+.f32 #s(literal -1/216 binary32) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (+.f32 #s(literal 1/36 binary32) (.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 tau (.f32 tau (.f32 tau tau))))) (.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (-.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) #s(literal 1/120 binary32))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 (.f32 tau (.f32 tau tau)) (.f32 tau (.f32 tau tau))) #s(literal 1/46656 binary32)))))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 #s(literal 1/6 binary32) (.f32 tau tau))) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau #s(literal 1/36 binary32))) (-.f32 (.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal 1/120 binary32))))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (/.f32 (+.f32 (.f32 (-.f32 (.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32)))))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (.f32 tau #s(literal 1/36 binary32))))) (.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (.f32 (.f32 (.f32 x x) (.f32 (PI.f32) (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 tau (.f32 tau (.f32 tau tau))) #s(literal 1/1296 binary32)))))) (.f32 (-.f32 (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))) (.f32 (.f32 tau tau) (.f32 (PI.f32) (.f32 (PI.f32) #s(literal -1/6 binary32))))) (-.f32 #s(literal 1/120 binary32) (.f32 tau (*.f32 tau #s(literal 1/36 binary32))))))))
(fma.f32 (.f32 (.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
(/.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 (PI.f32) tau)) x)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (PI.f32) tau))
(/.f32 (PI.f32) (.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) tau))
(/.f32 (PI.f32) (.f32 (/.f32 (.f32 tau (.f32 x (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) (PI.f32)))
(/.f32 (PI.f32) (.f32 (/.f32 (.f32 x (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))) tau))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (PI.f32) (/.f32 (.f32 x (.f32 tau (.f32 (PI.f32) (PI.f32)))) (sin.f32 (.f32 x (*.f32 tau (PI.f32))))))
(/.f32 (.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (.f32 (PI.f32) (.f32 tau (.f32 x (PI.f32)))))
(/.f32 (.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x)) (.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(.f32 (/.f32 (PI.f32) (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 x (PI.f32))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (PI.f32) (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(/.f32 (PI.f32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (*.f32 (PI.f32) (PI.f32))))) tau))
(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (.f32 x (*.f32 (PI.f32) (PI.f32))) tau))))
(/.f32 (PI.f32) (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau)))
(.f32 (.f32 x x) (.f32 (.f32 (.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau)))) (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (.f32 x (PI.f32)) x) (/.f32 (PI.f32) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (.f32 x (PI.f32)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (.f32 (.f32 tau tau) (.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))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 x (.f32 x (.f32 (PI.f32) (.f32 #s(literal -1/6 binary32) (.f32 tau tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -1/6 binary32) (.f32 tau tau))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

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

Calls

3 calls:

28.0ms	tau
26.0ms	(*.f32 x (PI.f32))
26.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes53.0ms (0.3%)

Memory

-13.9MiB live, 105.5MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	(*.f32 x (PI.f32))
16.0ms	tau
13.0ms	x

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes48.0ms (0.3%)

Memory

12.7MiB live, 87.6MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	(*.f32 x (PI.f32))
14.0ms	tau
13.0ms	x

Results

Accuracy	Segments	Branch
79.8%	1	`tau`
79.8%	1	`x`
79.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes51.0ms (0.3%)

Memory

-0.0MiB live, 82.6MiB allocated

Counts

46 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	tau
13.0ms	x
12.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.8%	1	`x`
79.8%	1	`(*.f32 x (PI.f32))`
79.8%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes40.0ms (0.2%)

Memory

-8.3MiB live, 68.0MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	tau
12.0ms	x
11.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.8%	1	`x`
79.8%	1	`(*.f32 x (PI.f32))`
79.8%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes51.0ms (0.3%)

Memory

5.6MiB live, 45.7MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

27.0ms	tau
10.0ms	x
10.0ms	(*.f32 x (PI.f32))

Results

Accuracy	Segments	Branch
79.8%	1	`x`
79.8%	1	`tau`
79.8%	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes49.0ms (0.3%)

Memory

3.4MiB live, 41.1MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	x
10.0ms	tau
10.0ms	(*.f32 x (PI.f32))

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes33.0ms (0.2%)

Memory

-13.3MiB live, 24.5MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	x
5.0ms	(*.f32 x (PI.f32))
5.0ms	tau

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
70.1%	1	`x`
70.1%	1	`(*.f32 x (PI.f32))`
70.1%	1	`tau`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
3.0ms	tau

Results

Accuracy	Segments	Branch
65.4%	1	`x`
65.4%	1	`tau`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-31.1MiB live, 7.0MiB allocated

Accuracy

Total -19.4b remaining (-169.7%)

Threshold costs -19.4b (-169.7%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 1 binary32)

Calls

2 calls:

8.0ms	x
2.0ms	tau

Results

Accuracy	Segments	Branch
64.2%	1	`tau`
64.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

116×	`*-commutative_binary32`
52×	`+-commutative_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	377
1	197	377

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness4.4s (24.4%)

Memory

47.5MiB live, 5 697.2MiB allocated

Rules

17 194×	`accelerator-lowering-fma.f32`
17 194×	`accelerator-lowering-fma.f64`
15 784×	`accelerator-lowering-fma.f32`
15 784×	`accelerator-lowering-fma.f64`
13 194×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	489	8392
1	1658	8172
2	6685	8144
0	8121	7714
0	50	264
1	298	242
2	2518	234
0	8631	227
0	44	327
1	280	319
2	2645	311
0	8878	294
0	439	6498
1	1441	6316
2	5812	6208
0	8932	5912
0	19	103
1	102	103
2	786	99
3	6931	99
0	8133	99
0	263	3222
1	864	3154
2	3387	3068
3	6495	3068
4	7355	3068
5	7923	3068
0	8222	2967
0	40	261
1	250	249
2	2281	245
0	8633	234

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 709 to 316 computations (55.4% saved)

preprocess75.0ms (0.4%)

Memory

13.8MiB live, 207.3MiB allocated

Remove

(abs tau)

(abs x)

Compiler

Compiled 1 816 to 658 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze21.0ms (0.1%)

sample1.5s (8.2%)

preprocess107.0ms (0.6%)

explain137.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify54.0ms (0.3%)

localize92.0ms (0.5%)

series35.0ms (0.2%)

rewrite348.0ms (2%)

simplify588.0ms (3.3%)

eval156.0ms (0.9%)

prune165.0ms (0.9%)

simplify453.0ms (2.5%)

localize207.0ms (1.2%)

series58.0ms (0.3%)

rewrite578.0ms (3.2%)

simplify689.0ms (3.9%)

eval902.0ms (5.1%)

prune345.0ms (1.9%)

simplify680.0ms (3.8%)

localize267.0ms (1.5%)

series29.0ms (0.2%)

rewrite523.0ms (2.9%)

simplify632.0ms (3.5%)

eval342.0ms (1.9%)

prune538.0ms (3%)

simplify640.0ms (3.6%)

localize173.0ms (1%)

series35.0ms (0.2%)

rewrite401.0ms (2.2%)

simplify532.0ms (3%)

eval339.0ms (1.9%)

prune923.0ms (5.2%)

regimes210.0ms (1.2%)

regimes136.0ms (0.8%)

regimes148.0ms (0.8%)

regimes109.0ms (0.6%)

regimes53.0ms (0.3%)

regimes48.0ms (0.3%)

regimes51.0ms (0.3%)

regimes40.0ms (0.2%)

regimes51.0ms (0.3%)

regimes49.0ms (0.3%)

regimes33.0ms (0.2%)

regimes16.0ms (0.1%)

regimes8.0ms (0%)

regimes10.0ms (0.1%)

simplify11.0ms (0.1%)

soundness4.4s (24.4%)

preprocess75.0ms (0.4%)

end0.0ms (0%)

Profiling