Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 38 to 21 computations (44.7% saved)

sample3.7s (18.2%)

Results

3.7s

8256×

body

256

valid

Bogosity

preprocess83.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1870×	`rational.json-simplify-35`
1000×	`rational.json-simplify-1`
880×	`rational.json-simplify-49`
816×	`rational.json-simplify-42`
770×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	142
1	55	142
2	128	142
3	231	142
4	462	142
5	942	142
6	2047	142
7	3629	142
8	6609	142
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 25 to 12 computations (52% saved)

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational.json-simplify-35`
1158×	`rational.json-simplify-2`
752×	`rational.json-simplify-26`
706×	`rational.json-simplify-1`
704×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	31	71
2	66	71
3	142	71
4	325	71
5	731	71
6	1602	71
7	2917	71
8	5245	71
9	7095	71
10	7804	71

Stop Event

1×	node limit

Counts

1 → 3

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))))

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 65 to 20 computations (69.2% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.6b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(.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))))
▶	0.7b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.6b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Status

Error

Program

▶

0.6b

(*.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))))

▶

0.7b

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

▶

0.6b

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

Compiler

Compiled 69 to 32 computations (53.6% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
✓	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 67 to 11 computations (83.6% saved)

series10.0ms (0%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f32 x (PI.f32))
1.0ms	tau	@	0	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
1.0ms	x	@	inf	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
1.0ms	tau	@	-inf	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))
1.0ms	x	@	-inf	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`exponential.json-3`
1652×	`rational.json-1`
1652×	`rational.json-2`
1652×	`rational.json-4`
1652×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
1	105	94
2	310	94
3	1116	94
4	4773	94

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1 (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 1/2 (/.f32 1 (.f32 x (.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (/.f32 1 (.f32 (PI.f32) tau)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) (+.f32 tau tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (.f32 (PI.f32) tau) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) (/.f32 1 (.f32 x (.f32 (.f32 (PI.f32) tau) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (neg.f32 (.f32 x (.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (.f32 (.f32 (PI.f32) tau) (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 x)) (/.f32 1 (neg.f32 (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 x (.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (.f32 (PI.f32) tau) (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (neg.f32 (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (.f32 (PI.f32) tau) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1 (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 1 (.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (/.f32 1 (PI.f32)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (/.f32 1 (.f32 x (.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (neg.f32 (.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (.f32 (PI.f32) (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 1 (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (.f32 (PI.f32) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 x (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 x (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 x -1)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (PI.f32) (+.f32 x -1)) (-.f32 0 (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (neg.f32 (PI.f32))) (.f32 (PI.f32) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 x (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (neg.f32 (PI.f32))) (.f32 (PI.f32) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x (.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 x (.f32 (PI.f32) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 x (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (.f32 x (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))))))

simplify200.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1548×	`rational.json-simplify-51`
1254×	`rational.json-simplify-46`
1160×	`rational.json-simplify-35`
1060×	`exponential.json-simplify-26`
986×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	303	5320
1	748	5176
2	2033	5170
3	4905	5164

Stop Event

1×	node limit

Counts

174 → 178

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(.f32 tau (.f32 x (PI.f32)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (.f32 tau (*.f32 x (PI.f32))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (.f32 x (PI.f32)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 x 7)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (.f32 tau (*.f32 x (PI.f32))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (.f32 x (PI.f32)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 x 7)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
(-.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 1 (*.f32 (PI.f32) tau)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (/.f32 (/.f32 1/2 x) (*.f32 (PI.f32) tau)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) 1))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 1/2 (/.f32 1 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (/.f32 1 (*.f32 (PI.f32) tau)) 1))
(.f32 2 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (*.f32 (PI.f32) tau) 1/2)) 1/2)
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) (/.f32 1 (.f32 x (.f32 (*.f32 (PI.f32) tau) 4))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) (+.f32 tau tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (neg.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (.f32 (*.f32 (PI.f32) tau) (neg.f32 x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 x)) (/.f32 1 (neg.f32 (.f32 (PI.f32) tau))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (*.f32 (PI.f32) tau) (neg.f32 x))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (neg.f32 (.f32 (PI.f32) tau))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (*.f32 (PI.f32) tau))))
(.f32 1/2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (.f32 (*.f32 (PI.f32) tau) 1/2)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 1)
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 1 (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) 1))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 1 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (*.f32 (/.f32 1 (PI.f32)) 1))
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 2))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (/.f32 1 (.f32 x (*.f32 (PI.f32) 4))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) 2)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (neg.f32 (*.f32 x (PI.f32)))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (*.f32 (PI.f32) (neg.f32 x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 1 (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 (*.f32 x (PI.f32)) 0)
(+.f32 0 (*.f32 x (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 x -1)) (PI.f32))
(+.f32 (*.f32 (PI.f32) (+.f32 x -1)) (-.f32 0 (neg.f32 (PI.f32))))
(+.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(+.f32 (-.f32 0 (neg.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 x -1)))
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
(-.f32 (*.f32 x (PI.f32)) 0)
(-.f32 0 (neg.f32 (*.f32 x (PI.f32))))
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))
(-.f32 (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))
(-.f32 (-.f32 0 (neg.f32 (PI.f32))) (*.f32 (PI.f32) (-.f32 1 x)))
(/.f32 (*.f32 x (PI.f32)) 1)
(/.f32 (.f32 x (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 x (.f32 (PI.f32) 4)) 4)
(/.f32 (.f32 2 (.f32 x (*.f32 (PI.f32) 4))) 8)
(pow.f32 (*.f32 x (PI.f32)) 1)
(neg.f32 (neg.f32 (*.f32 x (PI.f32))))
(+.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(+.f32 0 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(-.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(-.f32 0 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 1 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 1/2)
(.f32 2 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 1/4)
(.f32 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) -1)
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4) 4)
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4)) 8)
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Outputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4)))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6)))))
(+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4)) (+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 2)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6)))))
(+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4)) (+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4))))
(+.f32 1 (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)) (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (.f32 tau (*.f32 x (PI.f32))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (*.f32 tau x)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (.f32 x (PI.f32)))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (pow.f32 (.f32 (PI.f32) x) 5))) (.f32 tau (.f32 (PI.f32) x))))
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(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 1 (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 1 (PI.f32)) (.f32 (/.f32 1 x) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 1 x) (.f32 (/.f32 1 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 2 (/.f32 1/2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 2 (/.f32 (/.f32 1/2 x) (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) 1))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 2 (/.f32 1/2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 2 (/.f32 (/.f32 1/2 x) (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 1 (*.f32 x (PI.f32)))))
(.f32 1/2 (.f32 (/.f32 1 (.f32 (PI.f32) x)) (.f32 2 (sin.f32 (*.f32 (PI.f32) x)))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 1/2 (/.f32 1 (*.f32 (PI.f32) x)))))
(.f32 1/2 (.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (*.f32 (/.f32 1 (PI.f32)) 1))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 2 x))))
(.f32 2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1/2))
(.f32 2 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 2 (.f32 (PI.f32) x))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 2))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (.f32 2 x))))
(.f32 2 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1/2))
(.f32 2 (.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 2 (.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))) 1/2)
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 1/2 (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (/.f32 1 (.f32 x (*.f32 (PI.f32) 4))))
(.f32 (.f32 4 (sin.f32 (.f32 (PI.f32) x))) (/.f32 1 (.f32 (PI.f32) (*.f32 4 x))))
(.f32 (.f32 4 (sin.f32 (.f32 (PI.f32) x))) (/.f32 (/.f32 1 x) (.f32 (PI.f32) 4)))
(.f32 (.f32 4 (sin.f32 (.f32 (PI.f32) x))) (/.f32 1/4 (.f32 (PI.f32) x)))
(.f32 4 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 1/4 (.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 1 (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (PI.f32))) x))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 2 (/.f32 1/2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 2 (/.f32 (/.f32 1/2 x) (PI.f32))))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (/.f32 1/2 x) (/.f32 2 (PI.f32))))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (.f32 x (PI.f32)))))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 1/2 (/.f32 2 (.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 x -1)))
(*.f32 (PI.f32) x)
(+.f32 (*.f32 x (PI.f32)) 0)
(*.f32 (PI.f32) x)
(+.f32 0 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(+.f32 (*.f32 (PI.f32) (+.f32 x -1)) (PI.f32))
(*.f32 (PI.f32) x)
(+.f32 (*.f32 (PI.f32) (+.f32 x -1)) (-.f32 0 (neg.f32 (PI.f32))))
(*.f32 (PI.f32) x)
(+.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))))
(*.f32 (PI.f32) x)
(+.f32 (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) x)
(+.f32 (-.f32 0 (neg.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 x -1)))
(*.f32 (PI.f32) x)
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
(*.f32 (PI.f32) x)
(-.f32 (*.f32 x (PI.f32)) 0)
(*.f32 (PI.f32) x)
(-.f32 0 (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) x)
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (-.f32 (*.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))
(*.f32 (PI.f32) x)
(-.f32 (-.f32 0 (neg.f32 (PI.f32))) (*.f32 (PI.f32) (-.f32 1 x)))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 x (PI.f32)) 1)
(*.f32 (PI.f32) x)
(/.f32 (.f32 x (.f32 (PI.f32) 2)) 2)
(*.f32 (PI.f32) x)
(/.f32 (.f32 x (.f32 (PI.f32) 4)) 4)
(*.f32 (PI.f32) x)
(/.f32 (.f32 2 (.f32 x (*.f32 (PI.f32) 4))) 8)
(*.f32 (PI.f32) x)
(pow.f32 (*.f32 x (PI.f32)) 1)
(*.f32 (PI.f32) x)
(neg.f32 (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) x)
(+.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(+.f32 0 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(-.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(-.f32 0 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 1 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 1/2)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 2 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 1/4)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) -1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4) 4)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4)) 8)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 (PI.f32) (.f32 tau x)))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (PI.f32) (.f32 x tau))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))

Compiler

Compiled 67 to 11 computations (83.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	tau	@	-inf	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
1.0ms	tau	@	inf	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
0.0ms	tau	@	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
0.0ms	x	@	0	(.f32 (PI.f32) (.f32 x tau))
0.0ms	tau	@	inf	(.f32 (PI.f32) (.f32 x tau))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational.json-simplify-50`
1220×	`exponential.json-3`
1220×	`rational.json-1`
1220×	`rational.json-2`
1220×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	79	54
2	222	54
3	767	54
4	3371	54

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1 (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 tau (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (/.f32 1 (.f32 (PI.f32) (.f32 x (.f32 tau 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))) (/.f32 1 (.f32 tau (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 -1 (.f32 (PI.f32) (.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 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Outputs

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tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 x (*.f32 tau 4)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 tau (*.f32 x (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1/2 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 1/2 (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 (*.f32 x tau) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 x tau)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 x tau)) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) (*.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) -1)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (*.f32 (PI.f32) (-.f32 1 (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (*.f32 x tau)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) -1)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (-.f32 (+.f32 (*.f32 x tau) -1) 1)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 x tau)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 tau (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 tau (+.f32 x x)) (*.f32 (PI.f32) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 x tau)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))))))

simplify184.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational.json-simplify-39`
1218×	`rational.json-simplify-2`
926×	`rational.json-simplify-53`
748×	`rational.json-simplify-35`
744×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	4108
1	439	4036
2	1083	4012
3	3525	4012
4	6580	4012

Stop Event

1×	node limit

Counts

124 → 125

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 (/.f32 1 (.f32 (PI.f32) (*.f32 x tau))) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 tau (+.f32 x x)))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 2 (.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (/.f32 1 (.f32 (PI.f32) (.f32 x (*.f32 tau 4)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))) (/.f32 1 (*.f32 tau (+.f32 x x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 -1 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 1 (.f32 tau (*.f32 x (neg.f32 (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 -1 (.f32 x tau)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (*.f32 x (neg.f32 (PI.f32))))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))) (/.f32 1/2 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (/.f32 1 (PI.f32)) x))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))) -1)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (*.f32 x (neg.f32 (PI.f32))))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))) -1)
(.f32 (/.f32 1 (.f32 tau (+.f32 x x))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 tau (+.f32 x x)))) 2)
(.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) tau))
(.f32 (/.f32 -1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x (.f32 tau 4)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 4))
(.f32 (/.f32 -1 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 1 (.f32 tau (.f32 x (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (+.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (*.f32 x tau))))
(+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)))
(+.f32 (.f32 (PI.f32) (.f32 x tau)) 0)
(+.f32 (.f32 (PI.f32) (.f32 x tau)) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 0 (.f32 (PI.f32) (.f32 x tau)))
(+.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)) (PI.f32))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))
(+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32)))
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (.f32 (PI.f32) (-.f32 1 (.f32 x tau)))))
(-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (.f32 x tau))))
(-.f32 (.f32 (PI.f32) (.f32 x tau)) 0)
(-.f32 0 (.f32 (PI.f32) (neg.f32 (.f32 x tau))))
(-.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))) (PI.f32)))
(-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(-.f32 (.f32 (PI.f32) (-.f32 (+.f32 (.f32 x tau) -1) 1)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (.f32 (PI.f32) (.f32 x tau)) 1)
(/.f32 (.f32 (PI.f32) (.f32 tau (+.f32 x x))) 2)
(/.f32 (.f32 (PI.f32) (.f32 x (*.f32 tau 4))) 4)
(/.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))) -1)
(/.f32 (.f32 (.f32 tau (+.f32 x x)) (*.f32 (PI.f32) 4)) 8)
(pow.f32 (.f32 (PI.f32) (.f32 x tau)) 1)
(neg.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))))

Outputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (-.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) -1))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
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(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 -1 (.f32 x tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (*.f32 x (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))) (/.f32 1/2 (PI.f32)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (/.f32 1 (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32)))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 tau x))) x) (/.f32 (/.f32 1 tau) (PI.f32)))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (.f32 tau (.f32 (PI.f32) x))) 1/2))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 1/2 (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 1/2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 1/2 (/.f32 2 (.f32 (PI.f32) (.f32 tau x)))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 1/2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 1/2 (.f32 (PI.f32) (.f32 tau x)))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (*.f32 x (neg.f32 (PI.f32))))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 tau (+.f32 x x))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (PI.f32))) (/.f32 1 (*.f32 tau (+.f32 x x))))
(.f32 (/.f32 2 (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 1/2 tau) x)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 2 (PI.f32))) (/.f32 1/2 (*.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 tau (+.f32 x x)))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32)))
(.f32 (/.f32 -1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x (.f32 tau 4)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 4))
(.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 1 (.f32 (PI.f32) (.f32 x (*.f32 tau 4)))))
(.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 4 (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32))))
(.f32 (/.f32 -1 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 tau (.f32 x (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (+.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1/2 (.f32 (PI.f32) (.f32 x tau)))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (+.f32 (/.f32 1/2 (.f32 tau (.f32 (PI.f32) x))) (/.f32 1/2 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (+.f32 (/.f32 1/2 (.f32 (PI.f32) (.f32 tau x))) (/.f32 1/2 (.f32 (PI.f32) (*.f32 tau x)))))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 x (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (*.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(+.f32 (PI.f32) (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (.f32 (PI.f32) (.f32 x tau)) 0)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (.f32 (PI.f32) (.f32 x tau)) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 0 (.f32 (PI.f32) (.f32 x tau)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (.f32 (PI.f32) (-.f32 1 (.f32 x tau)))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 (.f32 x tau))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (.f32 (PI.f32) (.f32 x tau)) 0)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 0 (.f32 (PI.f32) (neg.f32 (.f32 x tau))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (.f32 (PI.f32) (+.f32 (.f32 x tau) -1)) (neg.f32 (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))) (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (.f32 (PI.f32) (-.f32 (+.f32 (.f32 x tau) -1) 1)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (PI.f32) (.f32 x tau)) 1)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (PI.f32) (.f32 tau (+.f32 x x))) 2)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (PI.f32) (.f32 x (*.f32 tau 4))) 4)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))) -1)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (.f32 tau (+.f32 x x)) (*.f32 (PI.f32) 4)) 8)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(pow.f32 (.f32 (PI.f32) (.f32 x tau)) 1)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(neg.f32 (.f32 (PI.f32) (neg.f32 (.f32 x tau))))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))

localize137.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

Compiler

Compiled 64 to 10 computations (84.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	tau	@	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
0.0ms	x	@	0	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
0.0ms	tau	@	0	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
0.0ms	x	@	inf	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2062×	`rational.json-1`
2062×	`rational.json-2`
1110×	`rational.json-simplify-50`
1094×	`exponential.json-3`
1094×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	77	58
2	209	58
3	704	58
4	2973	58
5	7296	58

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 1 (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) (/.f32 1/2 (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) (*.f32 (/.f32 1 (*.f32 x (*.f32 (PI.f32) tau))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 4) (/.f32 1 (*.f32 tau (*.f32 x (*.f32 (PI.f32) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 2 (*.f32 x (PI.f32)))) (/.f32 1 (+.f32 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))))

simplify208.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1420×	`rational.json-simplify-51`
1030×	`rational.json-simplify-2`
932×	`rational.json-simplify-41`
894×	`rational.json-simplify-35`
842×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	4537
1	503	4393
2	1570	4381
3	3333	4381
4	5678	4381
5	7748	4381

Stop Event

1×	node limit

Counts

123 → 114

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (.f32 tau (*.f32 x (PI.f32))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (.f32 x (PI.f32)))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 x 7)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 (PI.f32) x))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 -1/6 (.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (.f32 -1/6 (.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
(-.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 (/.f32 1 (.f32 x (*.f32 (PI.f32) tau))) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau))
(.f32 2 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 2 (.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) (/.f32 1 (.f32 tau (.f32 x (*.f32 (PI.f32) 4)))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (*.f32 x (PI.f32)))) (/.f32 1 (+.f32 tau tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (/.f32 1 x) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (/.f32 (/.f32 1 x) (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 -1 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (.f32 tau (neg.f32 (*.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (PI.f32))) (/.f32 -1 tau))
(.f32 -1 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (*.f32 x (PI.f32))))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (neg.f32 tau)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 x (.f32 (PI.f32) tau)))) 1/2)
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 tau)) (/.f32 1/2 (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)))
(.f32 (/.f32 1/2 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (/.f32 2 tau)))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) 1/2) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))
(.f32 (/.f32 1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau))) -1)
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (*.f32 x (PI.f32))))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (neg.f32 tau)) -1)
(.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (*.f32 x (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))) 2)
(.f32 (/.f32 -1 tau) (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(.f32 (/.f32 1 (.f32 tau (.f32 x (.f32 (PI.f32) 4)))) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4))
(.f32 (/.f32 -1 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (/.f32 1 (.f32 tau (neg.f32 (.f32 x (PI.f32))))) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 (+.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 1)
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (PI.f32) tau))))
(neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 tau)))
(+.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(+.f32 0 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(+.f32 -1 (-.f32 1 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(-.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(-.f32 0 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 1 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 1/2)
(.f32 2 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 1/4)
(.f32 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) -1)
(.f32 -1 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(.f32 1/4 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4) 4)
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 4) 8)
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))

Outputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (-.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) -1))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 6)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (-.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) -1))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 6)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4)) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (.f32 tau (*.f32 x (PI.f32))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (.f32 x (PI.f32)))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (pow.f32 (.f32 (PI.f32) x) 5))) (.f32 tau (.f32 (PI.f32) x))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 tau (.f32 (PI.f32) x))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 7) (pow.f32 x 7)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 3) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 5) (pow.f32 x 5)))) (.f32 tau (*.f32 x (PI.f32))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (pow.f32 (.f32 (PI.f32) x) 5))) (.f32 tau (.f32 (PI.f32) x))) (.f32 -1/5040 (.f32 (pow.f32 tau 7) (pow.f32 (*.f32 (PI.f32) x) 7)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (+.f32 (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 tau (.f32 (PI.f32) x))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 7))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (.f32 tau (.f32 (PI.f32) x))) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 7))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 tau (.f32 (PI.f32) x))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (.f32 -1/6 (.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (.f32 tau (*.f32 (PI.f32) x)))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (pow.f32 (.f32 (PI.f32) x) 5))) (.f32 tau (.f32 (PI.f32) x))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 tau (.f32 (PI.f32) x))))
(+.f32 (.f32 tau (.f32 (PI.f32) x)) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5)))) (.f32 -1/6 (.f32 (pow.f32 tau 3) (*.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3)))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (pow.f32 (.f32 (PI.f32) x) 5))) (.f32 tau (.f32 (PI.f32) x))) (.f32 -1/5040 (.f32 (pow.f32 tau 7) (pow.f32 (*.f32 (PI.f32) x) 7)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (+.f32 (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 tau (.f32 (PI.f32) x))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 7))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 3)) (.f32 tau (.f32 (PI.f32) x))) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 5)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 7))))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 x (PI.f32))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(+.f32 0 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(-.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1 (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) (.f32 (/.f32 1 (.f32 x (*.f32 (PI.f32) tau))) 1/2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 2 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 2 (.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) (/.f32 1 (.f32 tau (.f32 x (*.f32 (PI.f32) 4)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (*.f32 x (PI.f32)))) (/.f32 1 (+.f32 tau tau)))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 (PI.f32) x))) (/.f32 1 (+.f32 tau tau)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 (PI.f32) x)) (/.f32 1 (+.f32 tau tau))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 (PI.f32) x)) (/.f32 1/2 tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (/.f32 1 x) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 1 x) (PI.f32)) (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) tau))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 -1 (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (/.f32 1 (.f32 tau (neg.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (PI.f32))) (/.f32 -1 tau))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 -1 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (neg.f32 tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 x (.f32 (PI.f32) tau)))) 1/2)
(.f32 1/2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 1/2 (/.f32 (/.f32 2 (*.f32 (PI.f32) x)) tau)))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 tau)) (/.f32 1/2 (*.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1/2 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) (/.f32 2 tau)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (*.f32 (PI.f32) x))))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 x (.f32 (PI.f32) tau)))))
(.f32 1/2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 1/2 (/.f32 (/.f32 2 (*.f32 (PI.f32) x)) tau)))
(.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) 1/2) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (*.f32 (PI.f32) tau))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (*.f32 x (PI.f32))))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (neg.f32 tau)) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (*.f32 x (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 (PI.f32) x))) (/.f32 1 (+.f32 tau tau)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 (PI.f32) x)) (/.f32 1 (+.f32 tau tau))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (*.f32 (PI.f32) x)) (/.f32 1/2 tau)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) (+.f32 tau tau)))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 -1 tau) (/.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 tau (.f32 x (.f32 (PI.f32) 4)))) (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 -1 (.f32 x (.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 tau (neg.f32 (.f32 x (PI.f32))))) (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(.f32 (+.f32 (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau))) (/.f32 1/2 (.f32 x (.f32 (PI.f32) tau)))) (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (.f32 x (.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (neg.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(+.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(+.f32 0 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(+.f32 -1 (-.f32 1 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(-.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 0)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(-.f32 0 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 1 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 1/2)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 2 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4) 1/4)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))) -1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 -1 (neg.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 1/2 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 1/4 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 4))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 2) 2)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (sin.f32 (.f32 x (*.f32 (PI.f32) tau))) 4) 4)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) -1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2) 4) 8)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(pow.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 1)
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))
(neg.f32 (neg.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau)))))
(sin.f32 (.f32 tau (.f32 (PI.f32) x)))

eval245.0ms (1.2%)

Compiler: Compiled 18603 to 4822 computations (74.1% saved)

prune204.0ms (1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	684	30	714
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	686	31	717

Error

0.1b

Counts

717 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	11.0b	(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	5.7b	(.f32 (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.6b	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32)))))
	5.0b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
	1.4b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 4)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
✓	0.6b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
▶	0.8b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	0.9b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	0.9b	(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.9b	(.f32 (.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 1/4 (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	11.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 1545 to 883 computations (42.8% saved)

localize108.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.5b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))

Compiler

Compiled 85 to 20 computations (76.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	tau	@	-inf	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
0.0ms	tau	@	inf	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
0.0ms	x	@	-inf	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
0.0ms	tau	@	-inf	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`rational.json-simplify-35`
1174×	`exponential.json-3`
1174×	`rational.json-1`
1174×	`rational.json-2`
1174×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	108	66
2	271	66
3	752	66
4	2945	66

Stop Event

1×	node limit

Counts

2 → 297

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 -1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 0 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 x tau))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 x (*.f32 tau (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (*.f32 x tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 x (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 x (*.f32 2 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (+.f32 x x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (*.f32 x (*.f32 2 (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (/.f32 (*.f32 (PI.f32) 2) (/.f32 1 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (+.f32 (*.f32 -1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))) (*.f32 -1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (+.f32 (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau))) (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 x) (*.f32 tau (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 x) (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 2 (*.f32 x (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 tau (*.f32 x 4)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (*.f32 tau (*.f32 x 4)) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x 4))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (PI.f32) 4) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 tau 4) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 x 4) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (+.f32 (/.f32 (*.f32 x (*.f32 2 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x (*.f32 2 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (+.f32 (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (+.f32 (/.f32 (+.f32 x x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))) (/.f32 (+.f32 x x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 2 (*.f32 x tau))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) 1/2)) (*.f32 x (+.f32 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4) (*.f32 (PI.f32) (*.f32 tau (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4) (+.f32 (/.f32 (*.f32 (PI.f32) 2) (/.f32 1 (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) 2) (/.f32 1 (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 1 (*.f32 x tau)) 2) (/.f32 (*.f32 (PI.f32) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (/.f32 1 x)) (*.f32 (+.f32 tau tau) (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (/.f32 1 x)) (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (*.f32 tau (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 tau (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (/.f32 1 x)) (+.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))) (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 tau) (*.f32 x (/.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 tau) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (neg.f32 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) 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(neg.f32 (/.f32 4 (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (*.f32 x tau))))) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))) tau)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32))))) (neg.f32 (*.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 1 (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 4)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))))))

simplify300.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational.json-simplify-44`
1108×	`rational.json-simplify-50`
1088×	`rational.json-simplify-47`
854×	`rational.json-simplify-49`
830×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	729	15895
1	2409	15243
2	6921	15117

Stop Event

1×	node limit

Counts

345 → 410

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(*.f32 tau x)
(+.f32 (.f32 tau x) (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))))
(+.f32 (.f32 tau x) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))) (.f32 1/120 (.f32 (pow.f32 tau 5) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 5))))))
(+.f32 (.f32 tau x) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 5)))) (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 7)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32))
(*.f32 tau x)
(+.f32 (.f32 tau x) (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))))
(+.f32 (.f32 tau x) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))) (.f32 1/120 (.f32 (pow.f32 tau 5) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 5))))))
(+.f32 (.f32 tau x) (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 3) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 3)))) (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 5) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 5)))) (.f32 -1/5040 (.f32 (pow.f32 tau 7) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 7)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 -1 (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau))))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (-.f32 0 (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
(/.f32 1 (.f32 x (.f32 tau (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
(/.f32 1 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))
(/.f32 1 (/.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))))
(/.f32 1 (/.f32 x (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 1 (.f32 x tau)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)
(/.f32 2 (.f32 x (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))
(/.f32 2 (/.f32 (.f32 x (.f32 2 (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 2 (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x))))
(/.f32 2 (/.f32 (+.f32 x x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau))))
(/.f32 2 (+.f32 (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 (PI.f32) (.f32 x tau)) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 2 (+.f32 (/.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (/.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))))
(/.f32 2 (+.f32 (/.f32 x (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 x (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 x (.f32 2 (.f32 (PI.f32) tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 (.f32 (PI.f32) 2) (/.f32 1 (*.f32 x tau))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (+.f32 (.f32 -1 (.f32 x (.f32 tau (neg.f32 (PI.f32))))) (.f32 -1 (.f32 x (*.f32 tau (neg.f32 (PI.f32)))))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (+.f32 (/.f32 (PI.f32) (/.f32 1 (.f32 x tau))) (/.f32 (PI.f32) (/.f32 1 (*.f32 x tau)))))
(/.f32 (/.f32 1 x) (.f32 tau (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 1 x) (/.f32 tau (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))
(/.f32 4 (.f32 2 (.f32 x (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))))
(/.f32 4 (/.f32 (.f32 tau (.f32 x 4)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))
(/.f32 4 (.f32 (.f32 tau (.f32 x 4)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 4 (/.f32 (.f32 (PI.f32) (.f32 tau (.f32 x 4))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 4 (/.f32 (.f32 (PI.f32) 4) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau))))
(/.f32 4 (/.f32 (.f32 tau 4) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))))
(/.f32 4 (/.f32 (.f32 x 4) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))))
(/.f32 4 (+.f32 (/.f32 (.f32 x (.f32 2 (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (.f32 x (.f32 2 (.f32 (PI.f32) tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))
(/.f32 4 (+.f32 (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (/.f32 (+.f32 tau tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))))
(/.f32 4 (+.f32 (/.f32 (+.f32 x x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau))) (/.f32 (+.f32 x x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 (.f32 x tau))) 2)
(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 1/2)) (.f32 x (+.f32 tau tau)))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (.f32 (PI.f32) (.f32 tau (.f32 x 4))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (+.f32 (/.f32 (.f32 (PI.f32) 2) (/.f32 1 (.f32 x tau))) (/.f32 (.f32 (PI.f32) 2) (/.f32 1 (*.f32 x tau)))))
(/.f32 (.f32 (/.f32 1 (.f32 x tau)) 2) (/.f32 (.f32 (PI.f32) 2) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
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(/.f32 (neg.f32 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (-.f32 0 (neg.f32 (*.f32 x (+.f32 tau tau)))))
(/.f32 (neg.f32 (/.f32 (.f32 (/.f32 1 x) 4) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (-.f32 0 (.f32 tau 4)))
(/.f32 (neg.f32 (/.f32 (.f32 2 (/.f32 1 tau)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))) (neg.f32 (+.f32 x x)))
(/.f32 (neg.f32 (/.f32 (.f32 2 (/.f32 -1 x)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (-.f32 0 (.f32 2 (neg.f32 tau))))
(/.f32 (neg.f32 (/.f32 (/.f32 2 tau) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (neg.f32 (+.f32 x x)))
(/.f32 (neg.f32 (/.f32 (/.f32 -1 tau) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) x)
(/.f32 (neg.f32 (/.f32 (/.f32 2 x) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) (neg.f32 (+.f32 tau tau)))
(/.f32 (neg.f32 (/.f32 (neg.f32 (/.f32 1 tau)) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))) x)
(/.f32 (neg.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (.f32 x tau))) (-.f32 0 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x)) (-.f32 0 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (+.f32 x x))) (-.f32 0 (*.f32 tau 1/2)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (+.f32 tau tau))) (-.f32 0 (*.f32 x 1/2)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) 2)) (-.f32 0 (.f32 (PI.f32) 1/2)))
(/.f32 (neg.f32 (neg.f32 (/.f32 1 (.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 x tau))))) (*.f32 (PI.f32) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 x tau))))) (-.f32 0 (neg.f32 (*.f32 (PI.f32) 2))))
(/.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 (.f32 x tau) (sin.f32 (.f32 (PI.f32) (.f32 x tau))))))) (.f32 (PI.f32) 4))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (*.f32 x tau))))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) x)))) tau)
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) tau)))) x)
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))))) (neg.f32 (*.f32 x tau)))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 0)
(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 2)))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 2))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 1/2)) 1/2)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))
(.f32 1/2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 1/2)))
(.f32 (/.f32 1 (PI.f32)) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))) (/.f32 -1 (PI.f32)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2))
(.f32 (.f32 1/2 (/.f32 1 (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))) -1)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 2)) 2)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) 4)) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 4))
(.f32 (/.f32 -1 (PI.f32)) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))

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

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(sin.f32 (*.f32 x (PI.f32)))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Compiler

Compiled 30 to 9 computations (70% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sin.f32 (*.f32 x (PI.f32)))
0.0ms	x	@	inf	(sin.f32 (*.f32 x (PI.f32)))
0.0ms	x	@	-inf	(sin.f32 (*.f32 x (PI.f32)))

rewrite136.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2018×	`rational.json-1`
2018×	`rational.json-2`
1032×	`exponential.json-3`
1032×	`rational.json-4`
1032×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	53	13
2	120	13
3	258	13
4	531	13
5	1270	13
6	3656	13
7	7338	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(sin.f32 (*.f32 x (PI.f32)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sin.f32 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2) (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (sin.f32 (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 2 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8))) (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))))

simplify234.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1650×	`rational.json-simplify-35`
1374×	`rational.json-simplify-26`
1212×	`rational.json-simplify-2`
888×	`rational.json-simplify-42`
814×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	673
1	183	673
2	487	673
3	1542	673
4	2481	673
5	3366	673
6	5252	673
7	6264	673
8	6749	673
9	7142	673
10	7590	673

Stop Event

1×	node limit

Counts

41 → 47

Calls

Call 1

Inputs
(*.f32 (PI.f32) x)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 (PI.f32) x))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7))) (*.f32 (PI.f32) x))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 (sin.f32 (*.f32 x (PI.f32))) 0)
(+.f32 0 (sin.f32 (*.f32 x (PI.f32))))
(+.f32 -1 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1))
(+.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 1/2) (.f32 (sin.f32 (.f32 x (PI.f32))) 1/2))
(+.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) -1)
(-.f32 (sin.f32 (*.f32 x (PI.f32))) 0)
(-.f32 0 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(-.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) 1)
(.f32 (sin.f32 (.f32 x (PI.f32))) 1)
(.f32 1 (sin.f32 (.f32 x (PI.f32))))
(.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) 1/2)
(.f32 4 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 4) 1/4)
(.f32 1/2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(.f32 -1 (neg.f32 (sin.f32 (.f32 x (PI.f32)))))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 8) 1/8)
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2) 2)
(.f32 1/4 (.f32 (sin.f32 (*.f32 x (PI.f32))) 4))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) -1)
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4) 4)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) 1)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 2)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) 4)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 8) 8)
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) -1)
(/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 8)) 16)
(/.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8))) 32)
(/.f32 (+.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32)))))) -4)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8)))) 64)
(pow.f32 (sin.f32 (*.f32 x (PI.f32))) 1)
(neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))

Outputs
(*.f32 (PI.f32) x)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (*.f32 (PI.f32) x))
(+.f32 (.f32 (PI.f32) x) (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 3)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (*.f32 (PI.f32) x)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3)) (+.f32 (.f32 (PI.f32) x) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 5))))
(+.f32 (.f32 (PI.f32) x) (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 5)) (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 3))))
(+.f32 (.f32 (PI.f32) x) (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3)) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 5))))
(+.f32 (+.f32 (.f32 (PI.f32) x) (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3))) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 5)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 3))) (+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 5))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 7))) (*.f32 (PI.f32) x))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3)) (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 5)) (+.f32 (.f32 (PI.f32) x) (.f32 -1/5040 (pow.f32 (*.f32 (PI.f32) x) 7)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3)) (+.f32 (.f32 (PI.f32) x) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 7)) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 5)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3)) (+.f32 (.f32 (PI.f32) x) (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 5)) (.f32 -1/5040 (pow.f32 (*.f32 (PI.f32) x) 7)))))
(+.f32 (+.f32 (.f32 (PI.f32) x) (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 3))) (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 5)) (.f32 -1/5040 (pow.f32 (*.f32 (PI.f32) x) 7))))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 (sin.f32 (*.f32 x (PI.f32))) 0)
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 0 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 -1 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 1/2) (.f32 (sin.f32 (.f32 x (PI.f32))) 1/2))
(sin.f32 (*.f32 (PI.f32) x))
(+.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) -1)
(sin.f32 (*.f32 (PI.f32) x))
(-.f32 (sin.f32 (*.f32 x (PI.f32))) 0)
(sin.f32 (*.f32 (PI.f32) x))
(-.f32 0 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) x))
(-.f32 (-.f32 (sin.f32 (*.f32 x (PI.f32))) -1) 1)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 x (PI.f32))) 1)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 1 (sin.f32 (.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) 1/2)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 4 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 4) 1/4)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 1/2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 -1 (neg.f32 (sin.f32 (.f32 x (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 8) 1/8)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/2) 2)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 1/4 (.f32 (sin.f32 (*.f32 x (PI.f32))) 4))
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) -1)
(sin.f32 (*.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 1/4) 4)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) 1)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 2)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) 4)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 8) 8)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) -1)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) 8)) 16)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) -2)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8))) 32)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (+.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32))))) (.f32 2 (neg.f32 (sin.f32 (.f32 x (PI.f32)))))) -4)
(sin.f32 (*.f32 (PI.f32) x))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) 8)))) 64)
(sin.f32 (*.f32 (PI.f32) x))
(pow.f32 (sin.f32 (*.f32 x (PI.f32))) 1)
(sin.f32 (*.f32 (PI.f32) x))
(neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) x))

localize61.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f32 (PI.f32) x)
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 75 to 13 computations (82.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f32 (PI.f32) x)
0.0ms	tau	@	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau)))
0.0ms	tau	@	inf	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau)))
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau)))
0.0ms	tau	@	-inf	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau)))

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-simplify-50`
1242×	`exponential.json-3`
1242×	`rational.json-1`
1242×	`rational.json-2`
1242×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	95	48
2	250	48
3	799	48
4	3451	48

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (/.f32 1 tau) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2) (*.f32 (/.f32 (/.f32 1 tau) (*.f32 (PI.f32) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 1 (*.f32 tau (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2) (*.f32 tau (*.f32 (PI.f32) x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 4) (/.f32 1 (*.f32 (PI.f32) (*.f32 tau (*.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (/.f32 1 tau) (*.f32 (PI.f32) x)) 1/2) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (neg.f32 (*.f32 tau x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau (neg.f32 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (*.f32 tau (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 tau (*.f32 (PI.f32) 2))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 tau (*.f32 x 4)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 tau (neg.f32 x)))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32))) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (neg.f32 (*.f32 tau x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 tau (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (neg.f32 (*.f32 tau (PI.f32)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (PI.f32) (*.f32 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) x) 1)))))

simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1374×	`exponential.json-simplify-26`
1218×	`rational.json-simplify-2`
758×	`rational.json-simplify-35`
754×	`rational.json-simplify-50`
750×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	3415
1	438	3343
2	1089	3331
3	3698	3331
4	6172	3331

Stop Event

1×	node limit

Counts

85 → 107

Calls

Call 1

Inputs
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))))
(-.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 2 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 tau (.f32 (PI.f32) x))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 4) (/.f32 1 (.f32 (PI.f32) (.f32 tau (*.f32 x 4)))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 x)) (/.f32 1 (.f32 tau (.f32 (PI.f32) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 -1 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 1 (.f32 (PI.f32) (*.f32 tau (neg.f32 x)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 -1 (.f32 tau (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (*.f32 tau x)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (neg.f32 x)))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (.f32 tau (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (PI.f32)))) (/.f32 1/2 x))
(.f32 (/.f32 1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 tau (.f32 (PI.f32) x))))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) 1/2) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (*.f32 tau x)))) -1)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (neg.f32 x)))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (.f32 tau (PI.f32)))) -1)
(.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) 2))) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))) 2)
(.f32 (/.f32 -1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (.f32 x 4)))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 4))
(.f32 (/.f32 -1 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (neg.f32 x)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (+.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32)))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (.f32 tau x)))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 tau (neg.f32 x)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (*.f32 tau (PI.f32)))))
(+.f32 (*.f32 (PI.f32) x) 0)
(+.f32 0 (*.f32 (PI.f32) x))
(-.f32 (*.f32 (PI.f32) x) 0)
(/.f32 (*.f32 (PI.f32) x) 1)
(/.f32 (.f32 x (.f32 (PI.f32) 2)) 2)
(/.f32 (.f32 (PI.f32) (.f32 x 4)) 4)
(/.f32 (.f32 2 (.f32 (PI.f32) (*.f32 x 4))) 8)
(pow.f32 (*.f32 (PI.f32) x) 1)

Outputs
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (*.f32 tau (PI.f32))) 2)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 x (PI.f32)) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 4))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (.f32 x (PI.f32)) 6)))) (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 x (*.f32 tau (PI.f32))) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (*.f32 tau (PI.f32))) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 x (PI.f32)) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (.f32 x (PI.f32)) 6)))) (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 x (*.f32 tau (PI.f32))) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(+.f32 0 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(-.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 2 (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 1/2 (.f32 x (.f32 tau (PI.f32))))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) 1/2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 2 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 2 (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 1/2 (.f32 x (.f32 tau (PI.f32))))))
(.f32 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 tau (.f32 (PI.f32) x))) 1/2)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
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(.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32))))
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(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 x)) (/.f32 1 (.f32 tau (.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 1 tau) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 1 tau) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) (sin.f32 (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 -1 (.f32 tau (*.f32 (PI.f32) x))))
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(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
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(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 x)) (/.f32 -1 (.f32 tau (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (*.f32 tau x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (neg.f32 x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (PI.f32)))) (/.f32 1/2 x))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (*.f32 tau (PI.f32))) (/.f32 1/2 x)))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 1/2 x) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (/.f32 1/2 x) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (/.f32 1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 1 tau) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 x (*.f32 tau (PI.f32)))) (PI.f32)) (/.f32 (/.f32 1 tau) x))
(.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 2 (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 1/2 (.f32 x (.f32 tau (PI.f32))))))
(.f32 1/2 (/.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (*.f32 tau (PI.f32))) (/.f32 1/2 x)))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 1/2 x) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 (/.f32 1/2 x) (/.f32 2 (*.f32 tau (PI.f32)))))
(.f32 (.f32 (/.f32 (/.f32 1 tau) (.f32 (PI.f32) x)) 1/2) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (*.f32 tau x)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (*.f32 tau (neg.f32 x)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (.f32 tau (PI.f32)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) 2))) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (*.f32 (PI.f32) x) (+.f32 tau tau))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 -1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (.f32 x 4)))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 4))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 4 (/.f32 (/.f32 1 (PI.f32)) (.f32 tau (.f32 x 4)))))
(.f32 4 (.f32 (/.f32 1 (.f32 tau (.f32 x (.f32 (PI.f32) 4)))) (sin.f32 (.f32 tau (*.f32 x (PI.f32))))))
(.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32))))
(.f32 4 (.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32))))
(.f32 (/.f32 -1 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (neg.f32 x)))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(.f32 (+.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32)))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (+.f32 (/.f32 (/.f32 1/2 x) (.f32 tau (PI.f32))) (/.f32 (/.f32 1/2 x) (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (+.f32 (/.f32 1/2 (.f32 x (.f32 tau (PI.f32)))) (/.f32 1/2 (.f32 x (*.f32 tau (PI.f32))))))
(pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (neg.f32 (.f32 tau x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 tau (neg.f32 x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (neg.f32 (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (.f32 tau (PI.f32)))) (.f32 x (.f32 tau (PI.f32))))
(+.f32 (*.f32 (PI.f32) x) 0)
(*.f32 x (PI.f32))
(+.f32 0 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(-.f32 (*.f32 (PI.f32) x) 0)
(*.f32 x (PI.f32))
(/.f32 (*.f32 (PI.f32) x) 1)
(*.f32 x (PI.f32))
(/.f32 (.f32 x (.f32 (PI.f32) 2)) 2)
(*.f32 x (PI.f32))
(/.f32 (.f32 (PI.f32) (.f32 x 4)) 4)
(*.f32 x (PI.f32))
(/.f32 (.f32 2 (.f32 (PI.f32) (*.f32 x 4))) 8)
(*.f32 x (PI.f32))
(pow.f32 (*.f32 (PI.f32) x) 1)
(*.f32 x (PI.f32))

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
✓	0.4b	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 81 to 20 computations (75.3% saved)

series8.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
3.0ms	x	@	0	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
0.0ms	x	@	inf	(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
0.0ms	x	@	0	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))
0.0ms	x	@	inf	(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))

rewrite191.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational.json-1`
1422×	`rational.json-2`
1422×	`rational.json-4`
1422×	`rational.json-3`
1404×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	91	48
2	214	48
3	537	48
4	1731	48
5	4678	48

Stop Event

1×	node limit

Counts

2 → 252

Calls

Call 1

Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) 2)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 2) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 1/2 (/.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4) (/.f32 1 (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 1 (PI.f32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 4)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))))))

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x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) x))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) 2))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 1 x)))) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32)))))) (neg.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 x))))) (*.f32 2 (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))) (neg.f32 (*.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))))

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1914×	`rational.json-simplify-35`
908×	`rational.json-simplify-49`
858×	`rational.json-simplify-44`
742×	`rational.json-simplify-46`
694×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	586	8972
1	2147	8654
2	6818	8650

Stop Event

1×	node limit

Counts

272 → 352

Calls

Call 1

Inputs
x
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) x)
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) x))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6))) x)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)
(+.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))))
(+.f32 -1 (-.f32 1 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2))
(-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)
(-.f32 0 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(-.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 1 (PI.f32))))
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (/.f32 1 (.f32 (PI.f32) 4)))
(.f32 1/2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 -1 (PI.f32)))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) -1)
(.f32 (.f32 1/2 (/.f32 1 (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) 2))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) -1)
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)) 2)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) 4)) (.f32 (sin.f32 (.f32 x (PI.f32))) 4))
(.f32 (/.f32 -1 (PI.f32)) (neg.f32 (sin.f32 (.f32 x (PI.f32)))))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1)
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))
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(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 2)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 2)))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 2) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 2))
(-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(-.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) (/.f32 1 x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 0 (/.f32 (neg.f32 (PI.f32)) (/.f32 1 x))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 (/.f32 1 x)))
(/.f32 1 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 1 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 1 (-.f32 0 (.f32 (neg.f32 x) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (.f32 (PI.f32) 2)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (/.f32 (*.f32 (PI.f32) 2) (/.f32 1 x)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 2 (neg.f32 (.f32 x (neg.f32 (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (*.f32 2 (/.f32 (PI.f32) (/.f32 1 x))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (-.f32 0 (.f32 x (.f32 2 (neg.f32 (PI.f32))))))
(/.f32 2 (.f32 x (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 2 (/.f32 (.f32 x (.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 2 (.f32 2 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 2 (-.f32 0 (.f32 (PI.f32) (.f32 (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)))))
(/.f32 2 (-.f32 0 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (+.f32 x x)))))
(/.f32 (.f32 (/.f32 1 x) 2) (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 4 (.f32 (.f32 x 4) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 4 (/.f32 (.f32 x 4) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))))
(/.f32 4 (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 4 (/.f32 (.f32 (PI.f32) 4) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.f32 4 (.f32 2 (/.f32 (.f32 x (.f32 (PI.f32) 2)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 2 x)) 2)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (+.f32 x x))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (/.f32 2 (/.f32 1 x)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (*.f32 2 (/.f32 1 (/.f32 1 x))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (.f32 (PI.f32) 4)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 2 (/.f32 (.f32 (PI.f32) 2) (/.f32 1 x))))
(/.f32 (/.f32 1 (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 (+.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) 2))
(/.f32 -1 (.f32 (neg.f32 x) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 -1 (neg.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 -1 (-.f32 0 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 (PI.f32) (neg.f32 x)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (neg.f32 (PI.f32)) (/.f32 1 x)))
(/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (-.f32 0 (neg.f32 (.f32 x (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (-.f32 0 (/.f32 (PI.f32) (/.f32 1 x))))
(/.f32 (.f32 (PI.f32) (/.f32 2 (sin.f32 (.f32 x (PI.f32))))) (.f32 (+.f32 x x) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 8 (.f32 (PI.f32) (.f32 (/.f32 2 (sin.f32 (.f32 x (PI.f32)))) (.f32 x 4))))
(/.f32 8 (.f32 2 (/.f32 (.f32 x 4) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 8 (.f32 2 (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 8 (.f32 2 (/.f32 (.f32 (PI.f32) 4) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 4) 4)
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 4) (*.f32 x 4))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 4) (*.f32 2 (/.f32 2 (/.f32 1 x))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4) (.f32 x (*.f32 (PI.f32) 8)))
(/.f32 (.f32 (/.f32 1 x) 4) (.f32 2 (.f32 (PI.f32) (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (.f32 (/.f32 1 x) 4) (.f32 4 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 -2 (.f32 (PI.f32) (.f32 (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x))))
(/.f32 -2 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (+.f32 x x))))
(/.f32 -2 (neg.f32 (.f32 x (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 -2 (-.f32 0 (/.f32 (.f32 x (.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (/.f32 (.f32 (PI.f32) 1/2) 1/2))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)) (*.f32 (PI.f32) 2))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)) (/.f32 (PI.f32) 1/2))
(/.f32 (/.f32 4 (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 (PI.f32) 4))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
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(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))) (neg.f32 (.f32 (PI.f32) 4)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))

Outputs
x
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) x)
(+.f32 x (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) x))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 x (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4)))))
(+.f32 x (+.f32 (.f32 (pow.f32 x 5) (.f32 1/120 (pow.f32 (PI.f32) 4))) (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))))
(+.f32 x (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 x 5) (.f32 1/120 (pow.f32 (PI.f32) 4)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6))) x)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 5) (pow.f32 (PI.f32) 4))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (+.f32 x (.f32 -1/5040 (.f32 (pow.f32 x 7) (pow.f32 (PI.f32) 6))))))
(+.f32 (+.f32 x (.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 x 7) -1/5040))) (+.f32 (.f32 (pow.f32 x 5) (.f32 1/120 (pow.f32 (PI.f32) 4))) (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2)))))
(+.f32 (+.f32 x (.f32 (pow.f32 (PI.f32) 6) (.f32 (pow.f32 x 7) -1/5040))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 3) (pow.f32 (PI.f32) 2))) (.f32 (pow.f32 x 5) (.f32 1/120 (pow.f32 (PI.f32) 4)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 x (PI.f32)) 6)) 1)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 x (PI.f32)) 6))) (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 x (PI.f32)) 6)) (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(+.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(+.f32 -1 (-.f32 1 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1/2) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1/2))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1/2) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1/2))
(-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 0)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(-.f32 0 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(-.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 1)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 1/2 (PI.f32)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 2 (/.f32 1/2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1/2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 1 (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 2 (.f32 (/.f32 1 (PI.f32)) 1/2)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 1 (PI.f32)) 1))
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1/2))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2))
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1/2))
(.f32 2 (.f32 (/.f32 1/2 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 2 (/.f32 1/2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1/2 (PI.f32))))
(.f32 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))) 1/2)
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 2 (PI.f32)) 1/2))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 1/2 (/.f32 2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (/.f32 1 (.f32 (PI.f32) 4)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 1 (.f32 (PI.f32) 4))))
(.f32 4 (.f32 (/.f32 1/4 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1/2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 2 (PI.f32)) 1/2))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 1/2 (/.f32 2 (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (sin.f32 (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1 (PI.f32)))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (/.f32 -1 (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (*.f32 x (PI.f32))) 2))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 2 (/.f32 1/2 (PI.f32))))
(.f32 2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 1/2 (PI.f32))))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))) -1)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (.f32 1/2 (/.f32 1 (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) 2))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 2 (.f32 (/.f32 1 (PI.f32)) 1/2)))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (/.f32 1 (PI.f32)) 1))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (PI.f32))) -1)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)) 2)
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1/2))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) 2) 2)
(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) 2)))
(.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1/2))
(.f32 (/.f32 1 (.f32 (PI.f32) 4)) (.f32 (sin.f32 (.f32 x (PI.f32))) 4))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 1 (.f32 (PI.f32) 4))))
(.f32 4 (.f32 (/.f32 1/4 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (/.f32 -1 (PI.f32)) (neg.f32 (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) 1)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (+.f32 x x)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (+.f32 x x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 2)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 2) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(-.f32 0 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) (/.f32 1 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 0 (/.f32 (neg.f32 (PI.f32)) (/.f32 1 x))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 (/.f32 1 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 1 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 1 (/.f32 (.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 1 (-.f32 0 (.f32 (neg.f32 x) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (/.f32 (*.f32 (PI.f32) 2) (/.f32 1 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 2 (neg.f32 (.f32 x (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (*.f32 2 (/.f32 (PI.f32) (/.f32 1 x))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (-.f32 0 (.f32 x (.f32 2 (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 2 (.f32 x (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 2 (.f32 (/.f32 2 (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 2 (/.f32 (.f32 x (.f32 (PI.f32) 2)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 2 (.f32 2 (/.f32 (.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 2 (-.f32 0 (.f32 (PI.f32) (.f32 (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)))))
(/.f32 2 (neg.f32 (.f32 (PI.f32) (.f32 (neg.f32 x) (/.f32 2 (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 -2 (.f32 (PI.f32) (.f32 (neg.f32 x) (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 2 (-.f32 0 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (neg.f32 (+.f32 x x)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 1 x) 2) (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 4 (.f32 (.f32 x 4) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 4 (/.f32 (.f32 x 4) (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 4 (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 4 (/.f32 (.f32 (PI.f32) 4) (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 4 (.f32 2 (/.f32 (.f32 x (.f32 (PI.f32) 2)) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 2 x)) 2)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (+.f32 x x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (/.f32 2 (/.f32 1 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (neg.f32 (.f32 2 (/.f32 8 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (-.f32 0 (.f32 2 (.f32 2 (*.f32 x 4)))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) 8)))) (neg.f32 (.f32 2 (.f32 x 8))))
(/.f32 (.f32 2 (/.f32 -8 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (neg.f32 (*.f32 x 16)))
(/.f32 (neg.f32 (.f32 2 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (-.f32 0 (.f32 2 (.f32 2 (neg.f32 x)))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) -2)))) (neg.f32 (.f32 2 (.f32 2 (neg.f32 x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) -2)) -2) (neg.f32 (*.f32 (neg.f32 x) 4)))
(/.f32 (neg.f32 (.f32 2 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (-.f32 0 (*.f32 2 (neg.f32 (+.f32 x x)))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) -2)))) (neg.f32 (*.f32 2 (neg.f32 (+.f32 x x)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (PI.f32) -2)) -2) (neg.f32 (*.f32 (+.f32 x x) -2)))
(/.f32 (neg.f32 (.f32 2 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) x))) (-.f32 0 (.f32 2 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) x))) (neg.f32 (.f32 2 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 (.f32 (/.f32 (/.f32 (PI.f32) x) (sin.f32 (.f32 x (PI.f32)))) -2) (neg.f32 (.f32 2 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 (.f32 (/.f32 (/.f32 (PI.f32) x) (sin.f32 (.f32 x (PI.f32)))) -2) (neg.f32 (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (.f32 2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 (neg.f32 (.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 2))) (neg.f32 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 2 (*.f32 2 (neg.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 -1 (PI.f32)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))))) (-.f32 0 (.f32 2 (neg.f32 (+.f32 x x)))))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))))) (neg.f32 (.f32 2 (neg.f32 (+.f32 x x)))))
(/.f32 (.f32 (.f32 (/.f32 2 (PI.f32)) (neg.f32 (sin.f32 (.f32 x (PI.f32))))) -2) (neg.f32 (.f32 (+.f32 x x) -2)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (neg.f32 (.f32 (+.f32 x x) -2)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x))))) (-.f32 0 (.f32 2 (*.f32 2 (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (.f32 2 (.f32 -2 (/.f32 (sin.f32 (.f32 x (PI.f32))) x)))) (neg.f32 (.f32 2 (*.f32 2 (neg.f32 (PI.f32))))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 -2 x)) -2) (neg.f32 (.f32 (neg.f32 (PI.f32)) 4)))
(/.f32 (.f32 2 (.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) x))) (neg.f32 (.f32 (neg.f32 (PI.f32)) 4)))
(/.f32 (neg.f32 (neg.f32 (.f32 (/.f32 1 x) 2))) (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 1 (PI.f32)) x))) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (/.f32 4 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))) (*.f32 (PI.f32) 8))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 x 4)) (/.f32 2 (*.f32 (PI.f32) 8)))
(.f32 (/.f32 1/4 (PI.f32)) (/.f32 4 (/.f32 x (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x))))) (*.f32 2 (neg.f32 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 2 (*.f32 2 (neg.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 x)) (/.f32 -1 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)))))) (*.f32 2 (neg.f32 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 2 x))) (.f32 (PI.f32) (/.f32 2 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 2 (.f32 x (.f32 (PI.f32) (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 2 (.f32 (/.f32 2 (sin.f32 (.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4) x))) (.f32 (PI.f32) 8))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x))) (*.f32 2 (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 x 4))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (-.f32 0 (neg.f32 (.f32 x 4))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 -1 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (neg.f32 x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 8 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 2 (*.f32 x 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 2 (neg.f32 x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 -2 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) (neg.f32 (+.f32 x x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) x))) (.f32 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 2))) (.f32 (PI.f32) 1/2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 1 x)))) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))))) (neg.f32 (+.f32 x x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x))))) (*.f32 2 (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (/.f32 4 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))) (neg.f32 (.f32 (PI.f32) 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

localize93.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (.f32 x (PI.f32)))
	0.4b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	6.5b	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))

Compiler

Compiled 92 to 35 computations (62% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (.f32 x (PI.f32)))
1.0ms	x	@	inf	(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (.f32 x (PI.f32)))
0.0ms	x	@	inf	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
0.0ms	x	@	0	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
0.0ms	x	@	-inf	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`rational.json-1`
1582×	`rational.json-2`
1582×	`rational.json-4`
1582×	`rational.json-3`
1570×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	97	56
2	240	54
3	683	36
4	2105	36
5	5384	36

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (.f32 x (PI.f32)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) 1/2) (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) 1/2) (-.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (+.f32 x -1)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (*.f32 (PI.f32) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (PI.f32)) (+.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (PI.f32) x) -1) (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (PI.f32) x) 1) (+.f32 (PI.f32) (-.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (-.f32 (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (PI.f32)) (-.f32 (-.f32 (*.f32 (PI.f32) x) 1) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (*.f32 (PI.f32) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (*.f32 (PI.f32) (-.f32 1 x))) (-.f32 -1 (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 (neg.f32 x) 1))) (-.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) x) -1)) (-.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (PI.f32) (-.f32 1 (PI.f32))) (-.f32 (*.f32 (PI.f32) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (+.f32 x -1))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))) (-.f32 (*.f32 (PI.f32) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 (*.f32 (PI.f32) x) 1) (neg.f32 (PI.f32))) (-.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (+.f32 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (*.f32 (PI.f32) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 x 1/2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (*.f32 x 1/2) (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 (PI.f32) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (PI.f32) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 (*.f32 (PI.f32) 2) (*.f32 (PI.f32) (*.f32 (-.f32 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (*.f32 1/2 (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/2) (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (PI.f32) (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (PI.f32) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (*.f32 (PI.f32) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) (+.f32 x x)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (*.f32 (PI.f32) x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (+.f32 x x)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (PI.f32) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2) (/.f32 1/2 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2) (*.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (*.f32 (PI.f32) x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 4) (/.f32 1 (*.f32 (PI.f32) (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 -1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (PI.f32) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 2)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 x 4))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))))))

simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational.json-simplify-2`
1288×	`rational.json-simplify-1`
1072×	`rational.json-simplify-51`
774×	`rational.json-simplify-42`
636×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2410
1	474	2410
2	1110	2398
3	3970	2146
4	6829	2146

Stop Event

1×	node limit

Counts

122 → 115

Calls

Call 1

Inputs
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 x) (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 x) (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 x) (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (-.f32 1 x) (PI.f32)))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (.f32 -1 x)) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (.f32 -1 x)) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (.f32 -1 x)) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (+.f32 1 (.f32 -1 x)) (PI.f32)))) (*.f32 x (PI.f32)))
(+.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 (*.f32 (PI.f32) x) 0)
(+.f32 0 (*.f32 (PI.f32) x))
(+.f32 (.f32 (PI.f32) 1/2) (+.f32 (.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 (.f32 (PI.f32) 1/2) (-.f32 (.f32 (PI.f32) 1/2) (*.f32 (PI.f32) (-.f32 1 x))))
(+.f32 (*.f32 (PI.f32) (+.f32 x -1)) (PI.f32))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (PI.f32) (*.f32 (PI.f32) x)))
(+.f32 -1 (-.f32 (*.f32 (PI.f32) x) -1))
(+.f32 (-.f32 -1 (PI.f32)) (+.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) x) -1)))
(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)
(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 (-.f32 (*.f32 (PI.f32) x) 1) (+.f32 (PI.f32) (-.f32 1 (PI.f32))))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (-.f32 (neg.f32 x) 1))))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 (-.f32 (*.f32 (PI.f32) x) 1) (neg.f32 (PI.f32))))
(+.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) x)) (neg.f32 (PI.f32)))
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (*.f32 (PI.f32) (-.f32 1 x))))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (-.f32 1 x))) (-.f32 -1 (neg.f32 (PI.f32))))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 (neg.f32 x) 1))) (-.f32 1 (PI.f32)))
(+.f32 (+.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) x) -1)) (-.f32 -1 (PI.f32)))
(+.f32 (+.f32 (PI.f32) (-.f32 1 (PI.f32))) (-.f32 (*.f32 (PI.f32) x) 1))
(+.f32 (+.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (+.f32 x -1))) (*.f32 (PI.f32) 1/2))
(+.f32 (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))) (-.f32 (*.f32 (PI.f32) x) -1))
(+.f32 (-.f32 (.f32 (PI.f32) 1/2) (.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) 1/2))
(+.f32 (-.f32 (-.f32 (*.f32 (PI.f32) x) 1) (neg.f32 (PI.f32))) (-.f32 1 (PI.f32)))
(*.f32 (PI.f32) x)
(.f32 1 (.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(.f32 (.f32 (PI.f32) x) 1)
(.f32 (.f32 (PI.f32) (+.f32 x x)) 1/2)
(.f32 2 (/.f32 (.f32 (PI.f32) x) 2))
(.f32 2 (.f32 x (*.f32 (PI.f32) 1/2)))
(.f32 2 (.f32 (*.f32 x 1/2) (PI.f32)))
(.f32 (.f32 (PI.f32) 1/2) (+.f32 x x))
(.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))
(.f32 (.f32 (PI.f32) 2) (*.f32 x 1/2))
(.f32 (+.f32 x x) (.f32 (PI.f32) 1/2))
(.f32 (.f32 (PI.f32) (*.f32 x 4)) 1/4)
(.f32 4 (.f32 (.f32 x 1/2) (.f32 (PI.f32) 1/2)))
(.f32 4 (.f32 (/.f32 (PI.f32) 4) x))
(.f32 (neg.f32 (.f32 (PI.f32) x)) -1)
(.f32 1/2 (.f32 (PI.f32) (+.f32 x x)))
(.f32 1/2 (-.f32 (.f32 (PI.f32) 2) (.f32 (PI.f32) (.f32 (-.f32 1 x) 2))))
(.f32 -1 (neg.f32 (.f32 (PI.f32) x)))
(.f32 (.f32 x 4) (.f32 1/2 (.f32 (PI.f32) 1/2)))
(.f32 (.f32 (PI.f32) 4) (*.f32 1/4 x))
(.f32 (.f32 x 1/2) (*.f32 (PI.f32) 2))
(.f32 1/4 (.f32 (PI.f32) (*.f32 x 4)))
(.f32 (/.f32 (.f32 (PI.f32) x) 2) 2)
(.f32 (.f32 x (*.f32 (PI.f32) 1/2)) 2)
(/.f32 (*.f32 (PI.f32) x) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 x x)) 2)
(/.f32 (.f32 (PI.f32) (.f32 x 4)) 4)
(/.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)
(/.f32 (.f32 (.f32 (PI.f32) (+.f32 x x)) 4) 8)
(/.f32 (.f32 2 (neg.f32 (.f32 (PI.f32) x))) -2)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) (+.f32 x x)) 4)) 16)
(pow.f32 (*.f32 (PI.f32) x) 1)
(neg.f32 (neg.f32 (*.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 1 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 2) (/.f32 1/2 (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 2) (.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 1 (PI.f32)))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2))
(.f32 2 (.f32 (/.f32 1/2 (.f32 (PI.f32) x)) (sin.f32 (.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 4) (/.f32 1 (.f32 (PI.f32) (*.f32 x 4))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) 2)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 1 x))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 -1 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 -1 (PI.f32)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))) (/.f32 1/2 x))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))))
(.f32 (/.f32 1/2 (.f32 (PI.f32) x)) (.f32 (sin.f32 (.f32 (PI.f32) x)) 2))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) x)) 1/2) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) -1)
(.f32 (/.f32 1 (.f32 (PI.f32) 2)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) 2)
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))
(.f32 (/.f32 -1 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (PI.f32) x))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))

Outputs
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
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(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 4 (/.f32 1 (.f32 (PI.f32) (*.f32 x 4)))))
(.f32 4 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 1/4 (.f32 (PI.f32) x))))
(.f32 (/.f32 -1 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1)
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))

eval496.0ms (2.4%)

Compiler: Compiled 42775 to 13306 computations (68.9% saved)

prune588.0ms (2.9%)

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1530	30	1560
Fresh	10	15	25
Picked	1	0	1
Done	2	3	5
Total	1543	48	1591

Error

0.1b

Counts

1591 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
▶	0.7b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.6b	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	2.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	5.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (.f32 (PI.f32) (-.f32 (neg.f32 x) 1))))) (*.f32 x (PI.f32))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) x)))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
	5.0b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
	1.4b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 4)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	0.8b	(.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) (PI.f32)))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
▶	0.7b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
▶	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.3b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.9b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	0.9b	(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	14.0b	(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
▶	11.3b	(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
	14.4b	(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
	14.5b	(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
▶	14.5b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
✓	11.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
	11.0b	(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
	11.0b	(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	11.0b	(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
	11.0b	(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))

Compiler

Compiled 2106 to 1309 computations (37.8% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32))
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

Compiler

Compiled 75 to 12 computations (84% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
0.0ms	tau	@	0	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
0.0ms	x	@	inf	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
0.0ms	x	@	-inf	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
0.0ms	tau	@	-inf	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`exponential.json-3`
1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-4`
1494×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	91	39
2	292	39
3	1195	39
4	4602	39

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 1 (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 1 (*.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (/.f32 (/.f32 1/2 x) (*.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (*.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1/2 x) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (*.f32 (/.f32 1 (*.f32 x tau)) (/.f32 1/2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 2) (*.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 x tau))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (PI.f32))) (/.f32 (/.f32 1/2 x) tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (PI.f32))) (*.f32 (/.f32 1 (*.f32 x tau)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 x (+.f32 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (+.f32 tau tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 4) (/.f32 1 (*.f32 (PI.f32) (*.f32 tau (*.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (*.f32 (PI.f32) (*.f32 x tau)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) 4) (/.f32 1 (*.f32 tau (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 (*.f32 x tau))) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (/.f32 2 x)) (/.f32 1 (+.f32 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 1 (*.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) (+.f32 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 1 (*.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 1 (neg.f32 (*.f32 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 1 (*.f32 tau (neg.f32 x))))))) (#(struct:change #<rule egg-rr> 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(neg.f32 tau)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) 1)))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1454×	`rational.json-simplify-61`
1114×	`rational.json-simplify-50`
1062×	`rational.json-simplify-2`
898×	`rational.json-simplify-44`
880×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4856
1	498	4760
2	1257	4736
3	3285	4736
4	6014	4736

Stop Event

1×	node limit

Counts

108 → 163

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 (/.f32 1/2 x) (*.f32 (PI.f32) tau)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (*.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1/2 x) tau)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 (/.f32 1 (.f32 x tau)) (/.f32 1/2 (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 (/.f32 1 (.f32 (PI.f32) (*.f32 x tau))) 1/2))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))) (/.f32 (/.f32 1/2 x) tau))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))) (.f32 (/.f32 1 (.f32 x tau)) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x (+.f32 tau tau))))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x (+.f32 tau tau)))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 4) (/.f32 1 (.f32 (PI.f32) (.f32 tau (*.f32 x 4)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))) 1/2)
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 4) (/.f32 1 (.f32 tau (.f32 x 4))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))) (/.f32 1/2 (PI.f32)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x)) (/.f32 1 (+.f32 tau tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (/.f32 1 (.f32 (PI.f32) tau)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) (+.f32 tau tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)))
(.f32 (/.f32 1 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (*.f32 x tau))))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 1 (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (/.f32 1 (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 1 (neg.f32 (.f32 x tau))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))) (/.f32 1 (.f32 tau (neg.f32 x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (.f32 x tau))) (/.f32 1 (neg.f32 (PI.f32))))
(.f32 (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))) (/.f32 1 (neg.f32 tau)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 tau (neg.f32 x))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (neg.f32 tau)))
(.f32 (.f32 2 (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 x (+.f32 tau tau))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau)) (/.f32 (/.f32 1/2 x) (PI.f32)))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau)) (/.f32 1/2 x))
(.f32 (/.f32 1 (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x))
(.f32 (/.f32 2 x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (+.f32 tau tau))))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) tau))
(.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau)))
(.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau)))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (*.f32 x tau))))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (.f32 (PI.f32) (.f32 x tau)))))
(.f32 (/.f32 (/.f32 1/2 x) tau) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))))
(.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (/.f32 2 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) 2)))
(.f32 (.f32 (/.f32 1 (.f32 x tau)) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))))
(.f32 (.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1/2 x) tau)) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (.f32 (/.f32 1 (.f32 x tau)) (/.f32 1/2 (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x (+.f32 tau tau))) 2)
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 2)) (/.f32 2 (*.f32 x tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 tau tau))) (*.f32 2 (/.f32 1 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x (+.f32 tau tau)))) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (.f32 x 4)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 4))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2) 2)
(.f32 (/.f32 1 (.f32 tau (.f32 x 4))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 4))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (+.f32 tau tau))) (/.f32 2 x))
(.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))) -1)
(.f32 (/.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))) -1)
(.f32 (/.f32 1 (.f32 x (.f32 tau (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))) -1)
(.f32 (/.f32 1 (neg.f32 (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 tau (neg.f32 x))) -1)
(.f32 (/.f32 1 (.f32 tau (neg.f32 x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(.f32 (/.f32 1 (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (.f32 x tau))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (neg.f32 (PI.f32))) -1)
(.f32 (/.f32 1 (neg.f32 tau)) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (neg.f32 tau)) -1)
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)

Outputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4))) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 6))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 (PI.f32) x) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 2)))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 (PI.f32) x) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (*.f32 (PI.f32) x) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 4))) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 (PI.f32) x)) 6))))
(+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 4))) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) (*.f32 tau x)) 6))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 1 (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (/.f32 (/.f32 1/2 x) (*.f32 (PI.f32) tau)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 2 (/.f32 1/2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 2 (.f32 (/.f32 (/.f32 1/2 (.f32 tau x)) (PI.f32)) (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 1/2 (*.f32 tau x)) (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (/.f32 1/2 (*.f32 tau x)) (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (*.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1/2 x) tau)))
(.f32 (.f32 2 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 1/2 (.f32 tau x)) (.f32 2 (/.f32 1 (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x)))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x)))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2) (.f32 (/.f32 1 (.f32 x tau)) (/.f32 1/2 (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 2 (.f32 (/.f32 1 (.f32 tau x)) (/.f32 1/2 (PI.f32)))))
(.f32 2 (.f32 (.f32 (/.f32 1 (.f32 tau x)) (/.f32 1/2 (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
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(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 1/2 (*.f32 tau x)) (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (/.f32 1/2 (*.f32 tau x)) (PI.f32))))
(.f32 (/.f32 2 (.f32 x tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (*.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (.f32 (/.f32 1 (.f32 x tau)) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 (PI.f32)) (.f32 (/.f32 1 (.f32 tau x)) 1/2)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 1 (.f32 tau x)) (.f32 1/2 (/.f32 2 (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 (/.f32 1 tau) x) (*.f32 1/2 (/.f32 2 (PI.f32)))))
(.f32 (/.f32 (/.f32 1 tau) x) (.f32 (/.f32 2 (PI.f32)) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 1/2)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 1 (.f32 tau x)) (.f32 1/2 (/.f32 2 (PI.f32)))))
(.f32 (.f32 (/.f32 1 (PI.f32)) (/.f32 (/.f32 1/2 x) tau)) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(.f32 (.f32 2 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 1/2 (.f32 tau x)) (.f32 2 (/.f32 1 (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x)))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 1 (PI.f32)) (/.f32 1/2 (.f32 tau x)))))
(.f32 (.f32 (/.f32 1 (.f32 x tau)) (/.f32 1/2 (PI.f32))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) 2))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 2 (.f32 (/.f32 1 (.f32 tau x)) (/.f32 1/2 (PI.f32)))))
(.f32 2 (.f32 (.f32 (/.f32 1 (.f32 tau x)) (/.f32 1/2 (PI.f32))) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 (/.f32 (/.f32 1 tau) x) (/.f32 1/2 (PI.f32)))))
(.f32 2 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 1 (.f32 tau x)) (/.f32 1/2 (PI.f32)))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) 1/2) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 2 x)) (/.f32 1 (+.f32 tau tau)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x (+.f32 tau tau))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) 2)) (/.f32 2 (*.f32 x tau)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (+.f32 tau tau))) (*.f32 2 (/.f32 1 (PI.f32))))
(.f32 2 (.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 x (+.f32 tau tau)))))
(.f32 2 (.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (*.f32 tau (+.f32 x x)))))
(.f32 2 (.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (*.f32 tau (+.f32 x x)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x (+.f32 tau tau)))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 tau (.f32 x 4)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) 4))
(.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 1 (.f32 (PI.f32) (.f32 tau (*.f32 x 4)))))
(.f32 4 (.f32 (/.f32 (/.f32 1 (.f32 tau (.f32 x 4))) (PI.f32)) (sin.f32 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32))))
(.f32 4 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (/.f32 (/.f32 1/4 (*.f32 tau x)) (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (*.f32 x tau))) 2) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 tau (.f32 x 4))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) 4))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 1 (.f32 tau (.f32 x 4)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (PI.f32)) (.f32 4 (/.f32 1/4 (*.f32 tau x))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (+.f32 tau tau))) (/.f32 2 x))
(.f32 (/.f32 2 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (+.f32 tau tau))))
(.f32 (/.f32 2 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 2 (PI.f32)))))
(.f32 (/.f32 2 x) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 tau (*.f32 2 (PI.f32)))))
(.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau))) (/.f32 2 x)))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 1 (*.f32 (PI.f32) (+.f32 tau tau)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 1/2 (*.f32 tau (PI.f32)))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau)))
(.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (/.f32 2 x) (/.f32 1/2 (*.f32 tau (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (neg.f32 (*.f32 x tau)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 x (.f32 tau (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (neg.f32 (.f32 x tau))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (neg.f32 (.f32 x tau))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 tau (neg.f32 x))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (.f32 tau (neg.f32 x))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (neg.f32 (PI.f32))) (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (neg.f32 (.f32 x tau))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x tau)) (neg.f32 (PI.f32))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 1 (neg.f32 tau)) (neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (neg.f32 tau)) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (PI.f32) x)
	0.4b	(*.f32 x (PI.f32))

Compiler

Compiled 27 to 9 computations (66.7% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (PI.f32) (-.f32 1 x))
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))))
	6.5b	(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))

Compiler

Compiled 53 to 27 computations (49.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))))
0.0ms	x	@	inf	(/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))))
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))))
0.0ms	x	@	0	(*.f32 (PI.f32) (-.f32 1 x))
0.0ms	x	@	inf	(*.f32 (PI.f32) (-.f32 1 x))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2016×	`rational.json-1`
2016×	`rational.json-2`
2016×	`rational.json-4`
2016×	`rational.json-3`
864×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	97	56
2	240	52
3	603	42
4	1502	42
5	5206	42

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))))
(*.f32 (PI.f32) (-.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 1 x) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 2 (/.f32 1/2 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 -1 (*.f32 x (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 2 (/.f32 (/.f32 1 x) (PI.f32))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (/.f32 2 x) (PI.f32)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 -1 (/.f32 -1 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 1/2 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 1/2 (/.f32 (/.f32 1 x) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 (*.f32 1/2 (/.f32 (/.f32 1 x) (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 (*.f32 2 (/.f32 1/2 (*.f32 x (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 -1/2 (/.f32 -1 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (/.f32 -1 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 -1 (/.f32 (/.f32 1 x) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (*.f32 -1 (/.f32 (/.f32 1 x) (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (*.f32 2 (/.f32 -1 (*.f32 x (PI.f32)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 -2 (/.f32 1/2 (*.f32 x 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simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational.json-simplify-2`
1090×	`rational.json-simplify-35`
1004×	`rational.json-simplify-44`
928×	`rational.json-simplify-41`
866×	`rational.json-simplify-47`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	220	3184
1	493	3088
2	993	2878
3	2157	2762
4	5952	2704

Stop Event

1×	node limit

Counts

112 → 120

Calls

Call 1

Inputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(PI.f32)
(+.f32 (.f32 -1 (.f32 x (PI.f32))) (PI.f32))
(+.f32 (.f32 -1 (.f32 x (PI.f32))) (PI.f32))
(+.f32 (.f32 -1 (.f32 x (PI.f32))) (PI.f32))
(.f32 -1 (.f32 x (PI.f32)))
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(-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 0)
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(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (/.f32 1/2 (.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 1/2 (/.f32 (/.f32 1 x) (PI.f32))))
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(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 (.f32 2 (/.f32 1/2 (.f32 x (PI.f32)))) 1/2))
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(.f32 (sin.f32 (.f32 x (neg.f32 (PI.f32)))) (.f32 (.f32 2 (/.f32 -1 (*.f32 x (PI.f32)))) 1/2))
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(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (+.f32 x x))))
(.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) (+.f32 x x))) 1))
(.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1/2))
(.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 (/.f32 1 x) (PI.f32))))
(.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 1/2 (.f32 x (PI.f32)))))
(.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) -2) (/.f32 -1 (.f32 x (PI.f32)))))
(.f32 2 (.f32 (/.f32 1/2 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
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(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 1/4 (/.f32 (/.f32 1 x) (PI.f32))))
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(.f32 1/2 (.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 2 x) (PI.f32))))
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(.f32 1/2 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (/.f32 -1 (*.f32 x (PI.f32)))))
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(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))) -1)
(.f32 (/.f32 1/2 (.f32 x (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) 2))
(.f32 (/.f32 -1 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (neg.f32 (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (/.f32 1/2 (.f32 x (neg.f32 (PI.f32)))))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (.f32 (/.f32 1/2 (*.f32 x (neg.f32 (PI.f32)))) 1))
(.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (.f32 1/2 (/.f32 -1 (*.f32 x (PI.f32)))))
(.f32 (.f32 1/2 (/.f32 (/.f32 1 x) (PI.f32))) (.f32 (sin.f32 (.f32 x (PI.f32))) 2))
(.f32 (.f32 -1 (/.f32 (/.f32 1 x) (PI.f32))) (sin.f32 (*.f32 x (neg.f32 (PI.f32)))))
(.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) (+.f32 x x))) 2)
(.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) 4))) (.f32 (sin.f32 (*.f32 x (PI.f32))) 4))
(.f32 (/.f32 1/2 (.f32 x (neg.f32 (PI.f32)))) (.f32 (sin.f32 (.f32 x (PI.f32))) -2))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
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(+.f32 0 (*.f32 (PI.f32) (-.f32 1 x)))
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(+.f32 (.f32 (PI.f32) 1/2) (-.f32 (.f32 (PI.f32) 1/2) (*.f32 x (PI.f32))))
(+.f32 (*.f32 (PI.f32) (-.f32 1 x)) 0)
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(+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1)
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 (-.f32 (PI.f32) 1) (-.f32 1 (*.f32 x (PI.f32))))
(+.f32 (-.f32 1 (*.f32 x (PI.f32))) (-.f32 (PI.f32) 1))
(+.f32 (-.f32 -1 (PI.f32)) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (PI.f32)))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1))) (-.f32 1 (PI.f32)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(-.f32 0 (*.f32 (PI.f32) (+.f32 x -1)))
(-.f32 (*.f32 x (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 0)
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)))
(-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 x -1)))
(/.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1)
(/.f32 (.f32 (PI.f32) (.f32 (+.f32 x -1) -2)) 2)
(/.f32 (*.f32 (PI.f32) (+.f32 x -1)) -1)
(/.f32 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4)) 4)
(/.f32 (.f32 2 (.f32 (-.f32 1 x) (*.f32 (PI.f32) 4))) 8)
(/.f32 (.f32 (PI.f32) (.f32 2 (+.f32 x -1))) -2)
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4))) (.f32 2 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4)))) 16)
(pow.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1)
(neg.f32 (*.f32 (PI.f32) (+.f32 x -1)))

Outputs
1
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(PI.f32)
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(.f32 2 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 2 (PI.f32)))))
(.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) 4))) (.f32 (sin.f32 (*.f32 x (PI.f32))) 4))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 1 (.f32 x (*.f32 (PI.f32) 4)))))
(.f32 4 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) 4))) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 1/4 (.f32 x (PI.f32)))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 4 (/.f32 (/.f32 1/4 x) (PI.f32))))
(.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x)))
(.f32 (/.f32 1/2 (.f32 x (neg.f32 (PI.f32)))) (.f32 (sin.f32 (.f32 x (PI.f32))) -2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 0 (*.f32 (PI.f32) (-.f32 1 x)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (*.f32 x (neg.f32 (PI.f32))) (PI.f32))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (.f32 (PI.f32) 1/2) (+.f32 (.f32 (PI.f32) 1/2) (*.f32 x (neg.f32 (PI.f32)))))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (.f32 (PI.f32) 1/2) (-.f32 (.f32 (PI.f32) 1/2) (*.f32 x (PI.f32))))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (*.f32 (PI.f32) (-.f32 1 x)) 0)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (*.f32 (PI.f32) (-.f32 1 x)) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1)
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 (-.f32 -1 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(+.f32 (-.f32 (PI.f32) 1) (-.f32 1 (*.f32 x (PI.f32))))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (-.f32 1 (*.f32 x (PI.f32))) (-.f32 (PI.f32) 1))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(+.f32 (-.f32 -1 (PI.f32)) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (PI.f32)))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1))) (-.f32 1 (PI.f32)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(*.f32 (PI.f32) (-.f32 1 x))
(-.f32 0 (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(-.f32 (*.f32 x (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 0)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)))
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(/.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(/.f32 (.f32 (PI.f32) (.f32 (+.f32 x -1) -2)) 2)
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(/.f32 (*.f32 (PI.f32) (+.f32 x -1)) -1)
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(/.f32 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4)) 4)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(/.f32 (.f32 2 (.f32 (-.f32 1 x) (*.f32 (PI.f32) 4))) 8)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(/.f32 (.f32 (PI.f32) (.f32 2 (+.f32 x -1))) -2)
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))
(/.f32 (+.f32 (.f32 2 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4))) (.f32 2 (.f32 (-.f32 1 x) (.f32 (PI.f32) 4)))) 16)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(pow.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1)
(+.f32 (PI.f32) (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))
(-.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (-.f32 1 x))
(neg.f32 (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 -1 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 x -1))
(*.f32 (PI.f32) (neg.f32 (+.f32 x -1)))

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (PI.f32) x)
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))

Compiler

Compiled 75 to 13 computations (82.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
1.0ms	tau	@	-inf	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
0.0ms	tau	@	inf	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
0.0ms	tau	@	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau)))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-simplify-50`
1302×	`exponential.json-3`
1302×	`rational.json-1`
1302×	`rational.json-2`
1302×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	94	39
2	243	39
3	834	39
4	3768	39

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 1 (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 (PI.f32)) (*.f32 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2) (*.f32 (/.f32 1 (*.f32 tau (*.f32 (PI.f32) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (*.f32 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 4) (/.f32 1 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (PI.f32))) (/.f32 1 (*.f32 (*.f32 tau x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau) (/.f32 1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x) (/.f32 1 (*.f32 tau (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (/.f32 1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 -1 (*.f32 tau (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (/.f32 1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 -1 (*.f32 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (*.f32 tau x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))) (/.f32 1/2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (*.f32 (PI.f32) x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 (PI.f32)) (*.f32 tau x)) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (*.f32 tau (*.f32 (PI.f32) x))) 1/2) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (*.f32 tau x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 tau x) 2)) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (*.f32 tau x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (*.f32 tau x) (*.f32 (PI.f32) 4))) (*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (*.f32 tau x))))))))

simplify148.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-50`
894×	`rational.json-simplify-43`
816×	`rational.json-simplify-2`
696×	`rational.json-simplify-53`
694×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	3209
1	374	3137
2	879	3125
3	2489	3125
4	4420	3125
5	5980	3125
6	7604	3125

Stop Event

1×	node limit

Counts

75 → 82

Calls

Call 1

Inputs
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))))
(-.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 1 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 (PI.f32)) (*.f32 tau x)))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 (/.f32 1 (.f32 tau (*.f32 (PI.f32) x))) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(.f32 2 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 tau x) 2))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 4) (/.f32 1 (.f32 (.f32 tau x) (*.f32 (PI.f32) 4))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (PI.f32))) (/.f32 1 (.f32 (.f32 tau x) 2)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 -1 (.f32 tau (*.f32 (PI.f32) x))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 1 (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 -1 (.f32 tau x)))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (.f32 tau x))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))) (/.f32 1/2 (PI.f32)))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))) 1/2)
(.f32 (/.f32 1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))))
(.f32 1/2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (.f32 tau x)) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 (.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) x))) 1/2) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (*.f32 (PI.f32) x)))) -1)
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (.f32 tau x))) -1)
(.f32 (/.f32 1 (.f32 (.f32 tau x) 2)) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 tau x) 2))) 2)
(.f32 (/.f32 -1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2) 2)
(.f32 (/.f32 1 (.f32 (.f32 tau x) (.f32 (PI.f32) 4))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 4))
(.f32 (/.f32 -1 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(.f32 (/.f32 1 (.f32 x (.f32 tau (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (.f32 (PI.f32) x)))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (*.f32 tau x))))

Outputs
1
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) 1)
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 x (PI.f32)) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))) (+.f32 1 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (*.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (.f32 x (PI.f32)) 6)))) (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 1 (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))))
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 2)))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4))))))
(+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 x (PI.f32)) 2))) (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))))
(+.f32 (.f32 -1/5040 (.f32 (pow.f32 tau 6) (.f32 (pow.f32 (PI.f32) 6) (pow.f32 x 6)))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 tau 2) (.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2)))) (.f32 1/120 (.f32 (pow.f32 tau 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)))))))
(+.f32 1 (+.f32 (+.f32 (.f32 1/120 (.f32 (pow.f32 tau 4) (pow.f32 (.f32 x (PI.f32)) 4))) (.f32 -1/5040 (.f32 (pow.f32 tau 6) (pow.f32 (.f32 x (PI.f32)) 6)))) (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (*.f32 x (PI.f32)) 2)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 1 (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4))) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 tau (.f32 x (PI.f32))) 4)) (.f32 -1/5040 (pow.f32 (.f32 tau (*.f32 x (PI.f32))) 6)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(+.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(+.f32 0 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(-.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 0)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 1 (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (/.f32 (/.f32 1/2 (PI.f32)) (*.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 2) (.f32 (/.f32 1 (.f32 tau (*.f32 (PI.f32) x))) 1/2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (/.f32 1 (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 2 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 tau x) 2))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) 4) (/.f32 1 (.f32 (.f32 tau x) (*.f32 (PI.f32) 4))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 4 (/.f32 (/.f32 1 (.f32 tau x)) (.f32 (PI.f32) 4))))
(.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (/.f32 1 (.f32 tau x)) (.f32 (PI.f32) 4)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) (*.f32 tau x))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (PI.f32))) (/.f32 1 (.f32 (.f32 tau x) 2)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)) (/.f32 1 (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 1 tau) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 1 tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) x))) (sin.f32 (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 -1 (.f32 tau (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (neg.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 1 (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))) (/.f32 -1 (.f32 tau x)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (.f32 tau x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 tau) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 1 tau))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))) (/.f32 1/2 (PI.f32)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 1/2 (PI.f32)) (/.f32 2 (*.f32 tau x))))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (PI.f32))) (/.f32 1 x))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))) 1/2)
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (.f32 tau (.f32 x (PI.f32)))) 1/2))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 1/2 (/.f32 2 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (/.f32 1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) tau) (/.f32 1 (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 tau (PI.f32))) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x))
(.f32 (/.f32 (sin.f32 (.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 1 tau) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) x) (/.f32 1 (.f32 tau (PI.f32))))
(.f32 (/.f32 1/2 (PI.f32)) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (*.f32 tau x))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (*.f32 tau x)) (/.f32 1/2 (PI.f32))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 1/2 (PI.f32)) (/.f32 2 (*.f32 tau x))))
(.f32 1/2 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (.f32 tau (.f32 (PI.f32) x)))))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 (/.f32 2 (.f32 tau (.f32 x (PI.f32)))) 1/2))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 1/2 (/.f32 2 (.f32 tau (.f32 x (PI.f32))))))
(.f32 (/.f32 (/.f32 1/2 (PI.f32)) (.f32 tau x)) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 1 (.f32 tau (.f32 (PI.f32) x))) 1/2) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 2))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (*.f32 (PI.f32) x)))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (*.f32 tau (neg.f32 (PI.f32))))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (.f32 tau x))) -1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 (.f32 tau x) 2)) (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 2 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 (.f32 tau x) 2))) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 -1 (.f32 tau x)) (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (*.f32 (PI.f32) x))) 2) 2)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 (.f32 tau x) (.f32 (PI.f32) 4))) (.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x))) 4))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 4 (/.f32 (/.f32 1 (.f32 tau x)) (.f32 (PI.f32) 4))))
(.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 x (PI.f32))))) (/.f32 (/.f32 1 (.f32 tau x)) (.f32 (PI.f32) 4)))
(.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) (*.f32 tau x))))
(.f32 (/.f32 -1 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(.f32 (/.f32 1 (.f32 x (.f32 tau (neg.f32 (PI.f32))))) (neg.f32 (sin.f32 (.f32 tau (*.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(pow.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 tau (.f32 (PI.f32) x))) 1)
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (neg.f32 (.f32 tau (.f32 (PI.f32) x)))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(neg.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (neg.f32 (*.f32 tau x))))
(/.f32 (sin.f32 (.f32 tau (.f32 x (PI.f32)))) (.f32 tau (.f32 x (PI.f32))))

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f32 x (neg.f32 (PI.f32)))
✓	0.4b	(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))
✓	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
	0.4b	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 105 to 25 computations (76.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
0.0ms	x	@	inf	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
0.0ms	x	@	0	(*.f32 x (neg.f32 (PI.f32)))
0.0ms	x	@	0	(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))
0.0ms	x	@	inf	(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))

rewrite4.1s (19.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`rational.json-simplify-35`
1000×	`exponential.json-3`
1000×	`rational.json-1`
1000×	`rational.json-2`
1000×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	87
1	113	87
2	273	81
3	825	79
4	3059	71

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

Inputs
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))))
(*.f32 x (neg.f32 (PI.f32)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 -1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 x (neg.f32 (PI.f32)))) (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1 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simplify757.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1354×	`rational.json-simplify-2`
1280×	`rational.json-simplify-50`
1156×	`rational.json-simplify-35`
960×	`rational.json-simplify-1`
670×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	489	7628
1	1399	7518
2	4214	7480
3	6494	7452

Stop Event

1×	node limit

Counts

264 → 297

Calls

Call 1

Inputs
-1
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(-.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) 1)
(-.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (.f32 -1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))) 1)
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(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) x)))
1
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(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (.f32 x (*.f32 (PI.f32) -4)))
(/.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (PI.f32) 2) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4)) (.f32 2 (*.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (/.f32 1 x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (neg.f32 (PI.f32))))))
(/.f32 (.f32 2 (/.f32 -1 (PI.f32))) (+.f32 (/.f32 x (sin.f32 (.f32 x (neg.f32 (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (neg.f32 (PI.f32)))))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4)) (-.f32 0 (.f32 x (.f32 (PI.f32) 4))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (*.f32 x (PI.f32))) 2)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (*.f32 x (PI.f32))) 4)
(/.f32 (/.f32 2 (PI.f32)) (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32)) (*.f32 x 4))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 1/2)) 2)
(/.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (.f32 x (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x) (*.f32 (PI.f32) -2))
(/.f32 (/.f32 -2 x) (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) x) 2)
(/.f32 (/.f32 2 x) (/.f32 (.f32 (PI.f32) 2) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 1 (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -4) (*.f32 (PI.f32) -4))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2) (*.f32 (PI.f32) -2))
(/.f32 (neg.f32 (/.f32 -1 (PI.f32))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 -2 (PI.f32)))) (+.f32 x x))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 -2 (PI.f32)))) (-.f32 0 (*.f32 x -2)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (*.f32 (PI.f32) 2))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (neg.f32 (*.f32 (PI.f32) -2)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (neg.f32 (.f32 x (.f32 (PI.f32) -2))))
(/.f32 (/.f32 -1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (neg.f32 (PI.f32))))))
(/.f32 (+.f32 (.f32 2 (.f32 4 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (.f32 2 (.f32 4 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) 16)
(/.f32 (+.f32 (.f32 2 (/.f32 1 (PI.f32))) (.f32 2 (/.f32 1 (PI.f32)))) (.f32 2 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (.f32 2 (.f32 x 4)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (PI.f32)))) 4)
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32)))) 8)
(/.f32 (+.f32 (/.f32 2 (PI.f32)) (/.f32 2 (PI.f32))) (.f32 2 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (.f32 2 (.f32 x 4)))
(/.f32 (+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 1/2)) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (.f32 (PI.f32) 1/2))) 4)
(/.f32 (+.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 -1 x) (/.f32 -1 x)) (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x)) (*.f32 (PI.f32) -4))
(/.f32 (+.f32 (/.f32 -2 x) (/.f32 -2 x)) (.f32 2 (/.f32 (.f32 (PI.f32) -2) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) x)) 4)
(/.f32 (+.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 (/.f32 1 (PI.f32)) x)) (+.f32 (/.f32 1 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (+.f32 (/.f32 2 x) (/.f32 2 x)) (.f32 2 (/.f32 (.f32 (PI.f32) 2) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4)) (-.f32 0 (*.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (.f32 2 (/.f32 1 (PI.f32)))) (-.f32 0 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (-.f32 0 (.f32 x 4)))
(/.f32 (neg.f32 (/.f32 2 (PI.f32))) (-.f32 0 (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (-.f32 0 (*.f32 x 4)))
(/.f32 (neg.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (-.f32 0 (.f32 x (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x)) (neg.f32 (*.f32 (PI.f32) -2)))
(/.f32 (neg.f32 (/.f32 -2 x)) (-.f32 0 (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (neg.f32 (/.f32 -1 x)) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (neg.f32 (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 2 x)) (-.f32 0 (/.f32 (.f32 (PI.f32) 2) (sin.f32 (.f32 x (PI.f32))))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 x (neg.f32 (PI.f32)))) (.f32 x (PI.f32))))
(+.f32 (PI.f32) (-.f32 (*.f32 x (neg.f32 (PI.f32))) (PI.f32)))
(+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 x)))
(+.f32 (*.f32 x (neg.f32 (PI.f32))) 0)
(+.f32 -1 (-.f32 1 (*.f32 x (PI.f32))))
(+.f32 -1 (+.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 x))))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 0 (*.f32 x (neg.f32 (PI.f32))))
(+.f32 (*.f32 (PI.f32) (-.f32 1 x)) (neg.f32 (PI.f32)))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 (-.f32 1 (PI.f32)) (+.f32 -1 (*.f32 (PI.f32) (-.f32 1 x))))
(+.f32 (-.f32 (PI.f32) -1) (-.f32 (-.f32 -1 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 -1 (PI.f32)))
(+.f32 (-.f32 -1 (PI.f32)) (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 1 (PI.f32)))
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 x -1)))
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1)))
(-.f32 (*.f32 x (neg.f32 (PI.f32))) 0)
(-.f32 0 (*.f32 x (PI.f32)))
(-.f32 (*.f32 (PI.f32) (-.f32 1 x)) (PI.f32))
(-.f32 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1))) 1)
(-.f32 (-.f32 (neg.f32 (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)))
(-.f32 (-.f32 (*.f32 x (neg.f32 (PI.f32))) (PI.f32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 x (neg.f32 (PI.f32))) 1)
(/.f32 (.f32 x (.f32 (PI.f32) -2)) 2)
(/.f32 (.f32 x (.f32 (PI.f32) -4)) 4)
(/.f32 (.f32 x (.f32 (PI.f32) 2)) -2)
(/.f32 (*.f32 x (PI.f32)) -1)
(/.f32 (.f32 (.f32 x (*.f32 (PI.f32) -2)) 4) 8)
(/.f32 (.f32 2 (.f32 (.f32 x (.f32 (PI.f32) -2)) 4)) 16)
(pow.f32 (*.f32 x (neg.f32 (PI.f32))) 1)
(neg.f32 (*.f32 x (PI.f32)))

Outputs
-1
(-.f32 (.f32 1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) 1)
(+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) -1)
(+.f32 -1 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)))
(-.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4)))) 1)
(+.f32 (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) -1))
(+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 -1 (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 -1 (+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(-.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (+.f32 (.f32 1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))) (.f32 -1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))))) 1)
(+.f32 (+.f32 (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (.f32 1/5040 (pow.f32 (.f32 x (PI.f32)) 6))) (+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) -1))
(+.f32 -1 (+.f32 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (.f32 1/5040 (pow.f32 (.f32 x (PI.f32)) 6)))))
(+.f32 (+.f32 -1 (.f32 1/6 (pow.f32 (.f32 x (PI.f32)) 2))) (+.f32 (.f32 -1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (.f32 1/5040 (pow.f32 (.f32 x (PI.f32)) 6))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) x)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
(.f32 -1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 (PI.f32) x)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (neg.f32 (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32))))
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 (pow.f32 (.f32 x (PI.f32)) 2) -1/6))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 2) -1/6) (.f32 (pow.f32 (.f32 x (PI.f32)) 4) 1/120)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 4) 1/120) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 2) -1/6) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 6) -1/5040) 1)))
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(+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 2) -1/6) (+.f32 (.f32 (pow.f32 (.f32 x (PI.f32)) 4) 1/120) (+.f32 1 (.f32 (pow.f32 (.f32 x (PI.f32)) 6) -1/5040))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(.f32 -1 (.f32 x (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
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(*.f32 (PI.f32) (neg.f32 x))
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(.f32 -1 (.f32 x (PI.f32)))
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(.f32 -1 (.f32 x (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (/.f32 (sin.f32 (.f32 x (neg.f32 (PI.f32)))) (.f32 x (PI.f32))) 0)
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(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -4) (*.f32 (PI.f32) -4))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2) (*.f32 (PI.f32) -2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 -1 (PI.f32))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 -2 (PI.f32)))) (+.f32 x x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 -2 (PI.f32)))) (-.f32 0 (*.f32 x -2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (*.f32 (PI.f32) 2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (neg.f32 (*.f32 (PI.f32) -2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (neg.f32 (.f32 x (.f32 (PI.f32) -2))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (/.f32 -1 x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (neg.f32 (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 4 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))) (.f32 2 (.f32 4 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))))) 16)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (.f32 2 (/.f32 1 (PI.f32))) (.f32 2 (/.f32 1 (PI.f32)))) (.f32 2 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (.f32 2 (.f32 x 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (.f32 x (PI.f32)))) 4)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32)))) 8)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 2 (PI.f32)) (/.f32 2 (PI.f32))) (.f32 2 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (.f32 2 (.f32 x 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (/.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32))))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (/.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (.f32 x (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (/.f32 (.f32 2 (sin.f32 (.f32 x (PI.f32)))) (/.f32 x (/.f32 x (.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))) (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (.f32 2 (sin.f32 (.f32 x (PI.f32)))) (/.f32 x (/.f32 (/.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))))) (/.f32 x (/.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(/.f32 (+.f32 (/.f32 -1 x) (/.f32 -1 x)) (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (/.f32 (+.f32 (/.f32 -2 x) (/.f32 -2 x)) 2) (.f32 -2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (.f32 (/.f32 2 x) -2) (.f32 2 (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 (PI.f32) -2) (/.f32 (*.f32 (/.f32 2 x) -2) 2)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) x) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))) x)) 4)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 (/.f32 1 (PI.f32)) x) (/.f32 (/.f32 1 (PI.f32)) x)) (+.f32 (/.f32 1 (sin.f32 (.f32 x (PI.f32)))) (/.f32 1 (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (+.f32 (/.f32 2 x) (/.f32 2 x)) (.f32 2 (/.f32 (.f32 (PI.f32) 2) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (+.f32 (/.f32 2 x) (/.f32 2 x)) (.f32 2 (.f32 2 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (/.f32 (+.f32 (/.f32 2 x) (/.f32 2 x)) 2) 2) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 (.f32 2 (PI.f32)) (/.f32 (*.f32 (/.f32 -2 x) -2) 2)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4)) (-.f32 0 (*.f32 (PI.f32) 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 2 (/.f32 1 (PI.f32)))) (-.f32 0 (.f32 x (/.f32 2 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (-.f32 0 (.f32 x 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 2 (PI.f32))) (-.f32 0 (.f32 x (/.f32 2 (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (-.f32 0 (*.f32 x 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (-.f32 0 (.f32 x (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (/.f32 (/.f32 (/.f32 x (PI.f32)) (sin.f32 (.f32 x (PI.f32)))) x) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (PI.f32)))))
(/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (.f32 (PI.f32) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))))))
(/.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) x)) (neg.f32 (*.f32 (PI.f32) -2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 -2 x)) (-.f32 0 (/.f32 (.f32 (PI.f32) -2) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 -1 x)) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (neg.f32 (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 2 x)) (-.f32 0 (/.f32 (.f32 (PI.f32) 2) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (.f32 x (neg.f32 (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(+.f32 (PI.f32) (-.f32 (*.f32 x (neg.f32 (PI.f32))) (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 x)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (*.f32 x (neg.f32 (PI.f32))) 0)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 -1 (-.f32 1 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 -1 (+.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (-.f32 1 x))))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(+.f32 0 (*.f32 x (neg.f32 (PI.f32))))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (*.f32 (PI.f32) (-.f32 1 x)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(+.f32 (-.f32 1 (PI.f32)) (+.f32 -1 (*.f32 (PI.f32) (-.f32 1 x))))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(+.f32 (-.f32 (PI.f32) -1) (-.f32 (-.f32 -1 (*.f32 x (PI.f32))) (PI.f32)))
(+.f32 (+.f32 1 (PI.f32)) (-.f32 (-.f32 -1 (PI.f32)) (*.f32 x (PI.f32))))
(+.f32 1 (+.f32 (PI.f32) (-.f32 (-.f32 -1 (PI.f32)) (*.f32 x (PI.f32)))))
(+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 -1 (PI.f32)))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(+.f32 (-.f32 -1 (PI.f32)) (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(+.f32 (-.f32 -1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 1 (PI.f32)))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 x -1)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1)))
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(-.f32 (*.f32 x (neg.f32 (PI.f32))) 0)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(-.f32 0 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(-.f32 (*.f32 (PI.f32) (-.f32 1 x)) (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(-.f32 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 x -1))) 1)
(+.f32 -1 (-.f32 (-.f32 1 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 x))))
(*.f32 (PI.f32) (-.f32 -1 (+.f32 -1 x)))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (+.f32 -1 (+.f32 -1 x)))) (PI.f32))
(-.f32 (*.f32 (PI.f32) (-.f32 -1 (+.f32 x -2))) (PI.f32))
(-.f32 (-.f32 (*.f32 x (neg.f32 (PI.f32))) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (*.f32 x (neg.f32 (PI.f32))) 1)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (.f32 x (.f32 (PI.f32) -2)) 2)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (.f32 x (.f32 (PI.f32) -4)) 4)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (.f32 x (.f32 (PI.f32) 2)) -2)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (*.f32 x (PI.f32)) -1)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (.f32 (.f32 x (*.f32 (PI.f32) -2)) 4) 8)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(/.f32 (.f32 2 (.f32 (.f32 x (.f32 (PI.f32) -2)) 4)) 16)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(pow.f32 (*.f32 x (neg.f32 (PI.f32))) 1)
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))

eval416.0ms (2%)

Compiler: Compiled 27106 to 8751 computations (67.7% saved)

prune435.0ms (2.1%)

Pruning

61 alts after pruning (56 fresh and 5 done)

	Pruned	Kept	Total
New	1069	22	1091
Fresh	6	34	40
Picked	1	0	1
Done	2	5	7
Total	1078	61	1139

Error

0.1b

Counts

1139 → 61

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))))
✓	0.7b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	1.5b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)))))
▶	4.2b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	1.0b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.6b	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	5.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (.f32 (PI.f32) (-.f32 (neg.f32 x) 1))))) (*.f32 x (PI.f32))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) x)))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
	5.0b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.7b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	0.8b	(.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) (PI.f32)))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
▶	0.7b	(.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))) (*.f32 x (PI.f32))) -1) 1))
	8.0b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (PI.f32) -1) (-.f32 (-.f32 -1 (*.f32 x (PI.f32))) (PI.f32)))))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (+.f32 (.f32 1/6 (pow.f32 (*.f32 x (PI.f32)) 2)) -1))))
	0.9b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 1 x) (PI.f32))))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (/.f32 1 x)))
▶	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.2b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
	6.3b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2)) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.9b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	0.9b	(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	14.0b	(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
	14.7b	(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	14.5b	(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
	14.9b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
	14.8b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
	14.7b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
✓	14.5b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	25.9b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
	14.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
	14.3b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
✓	11.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
	11.0b	(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	11.0b	(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	11.0b	(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
	11.0b	(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	11.0b	(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
▶	11.3b	(*.f32 1 1)

Compiler

Compiled 2639 to 1712 computations (35.1% saved)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) -1) 1)
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
	0.4b	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 95 to 23 computations (75.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f32 (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1)

0.0ms

inf

(-.f32 (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1)

0.0ms

-inf

(-.f32 (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1)

rewrite171.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-1`
1668×	`rational.json-2`
1668×	`rational.json-4`
1668×	`rational.json-3`
1656×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	100	27
2	245	27
3	676	27
4	2184	27
5	5725	27

Stop Event

1×	node limit

Counts

1 → 177

Calls

Call 1

Inputs
(-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) -1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 2 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) 2))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 1 (PI.f32)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 2) (*.f32 (/.f32 (/.f32 1 (PI.f32)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (*.f32 x (PI.f32)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) 4) (/.f32 1 (*.f32 x (*.f32 (PI.f32) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (*.f32 x (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 -1 (*.f32 x (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 2 (PI.f32))) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) (*.f32 (sin.f32 (*.f32 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(PI.f32))))))))

simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`rational.json-simplify-2`
1202×	`rational.json-simplify-35`
708×	`rational.json-simplify-41`
668×	`rational.json-simplify-51`
608×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	420	5667
1	1349	5579
2	4321	5553
3	6951	5529

Stop Event

1×	node limit

Counts

189 → 199

Calls

Call 1

Inputs
1
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) (/.f32 (+.f32 x x) (/.f32 1 (PI.f32))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (/.f32 1 (PI.f32))))
(/.f32 2 (.f32 (.f32 (PI.f32) 2) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (*.f32 x (PI.f32)))) 2)
(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (.f32 (PI.f32) 4)))
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(/.f32 4 (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (*.f32 x (PI.f32)))))
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(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (.f32 (.f32 (PI.f32) 2) (neg.f32 x)))
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(/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (+.f32 (/.f32 x (neg.f32 (/.f32 1 (PI.f32)))) (/.f32 x (neg.f32 (/.f32 1 (PI.f32))))))
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(/.f32 8 (+.f32 (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (.f32 x (PI.f32)))) (/.f32 (.f32 x (.f32 (PI.f32) 4)) (sin.f32 (.f32 x (PI.f32))))))
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(/.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4)) (.f32 2 (.f32 (.f32 (PI.f32) 2) (.f32 x 4))))
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(/.f32 (/.f32 2 x) (.f32 2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) -1)
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))) -1)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x))) (neg.f32 (*.f32 (PI.f32) 2)))
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (*.f32 (PI.f32) 2))) 1/2)
(/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)) (*.f32 x 1/2))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 x x)) (/.f32 (PI.f32) 2))
(/.f32 (neg.f32 (/.f32 1 x)) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))) (-.f32 0 (.f32 x (.f32 (.f32 x (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32))))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (neg.f32 (+.f32 x x)))
(/.f32 (neg.f32 (/.f32 1 (PI.f32))) (neg.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (.f32 x (.f32 (PI.f32) 2)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (-.f32 0 (.f32 (.f32 (PI.f32) 2) (neg.f32 x))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (-.f32 0 (neg.f32 (.f32 x (.f32 (PI.f32) 2)))))
(/.f32 (+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 x x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 x x))) (PI.f32))
(/.f32 (+.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2))) x)
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (.f32 2 (.f32 x 4)))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32))) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (.f32 x (PI.f32)))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (.f32 2 (.f32 x 4)))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4)) (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4))) (+.f32 (neg.f32 (.f32 x (.f32 (PI.f32) 4))) (neg.f32 (.f32 x (.f32 (PI.f32) 4)))))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) -2))) (+.f32 (.f32 2 (.f32 (.f32 (PI.f32) 2) (neg.f32 x))) (.f32 2 (.f32 (.f32 (PI.f32) 2) (neg.f32 x)))))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) -2))) (+.f32 (.f32 2 (neg.f32 (.f32 x (.f32 (PI.f32) 2)))) (.f32 2 (neg.f32 (.f32 x (.f32 (PI.f32) 2))))))
(/.f32 (+.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) -2) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) -2)) (*.f32 2 (-.f32 (neg.f32 x) x)))
(/.f32 (+.f32 (.f32 2 (/.f32 1 (PI.f32))) (.f32 2 (/.f32 1 (PI.f32)))) (.f32 2 (.f32 2 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 4)) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4)) (.f32 2 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4))) (+.f32 (.f32 2 (.f32 (.f32 (PI.f32) 2) (.f32 x 4))) (.f32 2 (.f32 (.f32 (PI.f32) 2) (.f32 x 4)))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4)) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4))) (+.f32 (.f32 2 (.f32 (PI.f32) 4)) (.f32 2 (.f32 (PI.f32) 4))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2))) (+.f32 (.f32 2 (.f32 2 (neg.f32 (PI.f32)))) (.f32 2 (.f32 2 (neg.f32 (PI.f32))))))
(/.f32 (+.f32 (/.f32 2 (PI.f32)) (/.f32 2 (PI.f32))) (.f32 2 (.f32 2 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (PI.f32)) (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (PI.f32))) (*.f32 2 (-.f32 (neg.f32 x) x)))
(/.f32 (+.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 2 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 2 x) (/.f32 2 x)) (.f32 2 (.f32 2 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32)))) -2)
(/.f32 (+.f32 (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) (neg.f32 (PI.f32)))) -2)
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x))) (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)))) (+.f32 (neg.f32 (.f32 (PI.f32) 2)) (neg.f32 (.f32 (PI.f32) 2))))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32)))) (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (+.f32 (neg.f32 (+.f32 x x)) (neg.f32 (+.f32 x x))))
(/.f32 (+.f32 (neg.f32 (/.f32 1 (PI.f32))) (neg.f32 (/.f32 1 (PI.f32)))) (+.f32 (neg.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (neg.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2)) (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2))) (.f32 x (.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (/.f32 (/.f32 1 (PI.f32)) x)) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 2) 4)) (-.f32 0 (.f32 (.f32 (PI.f32) 2) (.f32 x 4))))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) 4)) (-.f32 0 (*.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) x) -2)) (-.f32 0 (*.f32 2 (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 2 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (-.f32 0 (.f32 x 4)))
(/.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) -2)) (-.f32 0 (-.f32 (neg.f32 x) x)))
(/.f32 (neg.f32 (.f32 2 (/.f32 1 (PI.f32)))) (-.f32 0 (.f32 2 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4) (PI.f32))) (-.f32 0 (*.f32 x 4)))
(/.f32 (neg.f32 (/.f32 2 (PI.f32))) (-.f32 0 (.f32 2 (/.f32 x (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (PI.f32))) (-.f32 0 (-.f32 (neg.f32 x) x)))
(/.f32 (neg.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (-.f32 0 (.f32 x (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 2 x)) (-.f32 0 (.f32 2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2))) (-.f32 0 (*.f32 x 1/2)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 x x))) (-.f32 0 (/.f32 (PI.f32) 2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4))) (.f32 x (.f32 (PI.f32) 4)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)))) (*.f32 (PI.f32) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (+.f32 x x))
(/.f32 (neg.f32 (neg.f32 (/.f32 1 (PI.f32)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2))) (neg.f32 (.f32 x (.f32 (PI.f32) 2))))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))

Outputs
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4)) 1))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (.f32 -1/5040 (pow.f32 (.f32 x (PI.f32)) 6))) (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4))))
(+.f32 (.f32 1/120 (pow.f32 (.f32 x (PI.f32)) 4)) (+.f32 (.f32 -1/6 (pow.f32 (.f32 x (PI.f32)) 2)) (-.f32 (.f32 -1/5040 (pow.f32 (.f32 x (PI.f32)) 6)) -1)))
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(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2) (PI.f32))) (-.f32 0 (-.f32 (neg.f32 x) x)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (PI.f32))) (-.f32 0 (.f32 x (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (/.f32 (.f32 2 (/.f32 x (sin.f32 (.f32 x (PI.f32))))) (.f32 2 (PI.f32))) (.f32 x (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))))
(.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (/.f32 (/.f32 1 (PI.f32)) (.f32 x (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32))))))))
(/.f32 (/.f32 (/.f32 x (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))) (/.f32 x (.f32 (sin.f32 (.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (/.f32 2 x)) (-.f32 0 (.f32 2 (/.f32 (PI.f32) (sin.f32 (.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (PI.f32) 2))) (-.f32 0 (*.f32 x 1/2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 x x))) (-.f32 0 (/.f32 (PI.f32) 2)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) 4))) (.f32 x (.f32 (PI.f32) 4)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 x)))) (*.f32 (PI.f32) 2))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) (/.f32 2 (PI.f32))))) (+.f32 x x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 1 (PI.f32)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 x (PI.f32))) -2))) (neg.f32 (.f32 x (.f32 (PI.f32) 2))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(pow.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) 1)
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (.f32 x (PI.f32)))) (.f32 x (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

localize38.0ms (0.2%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 x (.f32 (PI.f32) tau))
✓	0.3b	(*.f32 (PI.f32) tau)
	0.3b	(sin.f32 (.f32 x (.f32 (PI.f32) tau)))
	0.4b	(/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau)))

Compiler

Compiled 58 to 17 computations (70.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	tau	@	0	(.f32 x (.f32 (PI.f32) tau))
0.0ms	tau	@	inf	(.f32 x (.f32 (PI.f32) tau))
0.0ms	tau	@	-inf	(.f32 x (.f32 (PI.f32) tau))
0.0ms	tau	@	-inf	(*.f32 (PI.f32) tau)
0.0ms	x	@	0	(.f32 x (.f32 (PI.f32) tau))

rewrite250.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2686×	`rational.json-simplify-2`
2558×	`rational.json-simplify-35`
1224×	`rational.json-simplify-1`
1144×	`exponential.json-3`
1144×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	54	24
2	125	24
3	260	24
4	471	24
5	1116	24
6	2424	24
7	3866	24
8	4640	24
9	5840	24
10	6607	24
11	6607	24
12	7336	24
13	7590	24

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(*.f32 (PI.f32) tau)
(.f32 x (.f32 (PI.f32) tau))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) tau) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) tau))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 tau 1/2)) (*.f32 (PI.f32) (*.f32 tau 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) tau) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) tau) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 tau tau)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 tau 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) tau) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (PI.f32) tau) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) tau) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (PI.f32) tau) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (*.f32 (PI.f32) tau) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 1/2) (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (PI.f32) tau) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (PI.f32) tau) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 tau (*.f32 (PI.f32) (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8)))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (*.f32 (PI.f32) tau) x) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (PI.f32) tau) x) 1)))))

simplify230.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2832×	`rational.json-simplify-2`
2070×	`rational.json-simplify-35`
1812×	`rational.json-simplify-1`
1458×	`rational.json-simplify-53`
1224×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	828
1	207	828
2	465	828
3	1141	828
4	3007	828
5	5895	828
6	6330	828
7	6589	828
8	6753	828
9	6915	828
10	7900	828

Stop Event

1×	node limit

Counts

66 → 34

Calls

Call 1

Inputs
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 tau (.f32 (PI.f32) x))
(+.f32 (*.f32 (PI.f32) tau) 0)
(+.f32 0 (*.f32 (PI.f32) tau))
(+.f32 (.f32 (PI.f32) (.f32 tau 1/2)) (.f32 (PI.f32) (.f32 tau 1/2)))
(-.f32 (*.f32 (PI.f32) tau) 0)
(/.f32 (*.f32 (PI.f32) tau) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 tau tau)) 2)
(/.f32 (.f32 (PI.f32) (.f32 tau 4)) 4)
(/.f32 (.f32 (.f32 (PI.f32) tau) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)))))) 256)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))))))) 512)
(pow.f32 (*.f32 (PI.f32) tau) 1)
(+.f32 (.f32 (.f32 (PI.f32) tau) x) 0)
(+.f32 0 (.f32 (.f32 (PI.f32) tau) x))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) 1/2) (.f32 (.f32 (.f32 (PI.f32) tau) x) 1/2))
(-.f32 (.f32 (.f32 (PI.f32) tau) x) 0)
(/.f32 (.f32 (.f32 (PI.f32) tau) x) 1)
(/.f32 (.f32 tau (.f32 (PI.f32) (+.f32 x x))) 2)
(/.f32 (.f32 tau (.f32 x (*.f32 (PI.f32) 4))) 4)
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8) 8)
(/.f32 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))))) 256)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8))))))) 512)
(pow.f32 (.f32 (.f32 (PI.f32) tau) x) 1)

Outputs
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(*.f32 tau (PI.f32))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 x (PI.f32)))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (*.f32 (PI.f32) tau) 0)
(*.f32 tau (PI.f32))
(+.f32 0 (*.f32 (PI.f32) tau))
(*.f32 tau (PI.f32))
(+.f32 (.f32 (PI.f32) (.f32 tau 1/2)) (.f32 (PI.f32) (.f32 tau 1/2)))
(*.f32 tau (PI.f32))
(-.f32 (*.f32 (PI.f32) tau) 0)
(*.f32 tau (PI.f32))
(/.f32 (*.f32 (PI.f32) tau) 1)
(*.f32 tau (PI.f32))
(/.f32 (*.f32 (PI.f32) (+.f32 tau tau)) 2)
(*.f32 tau (PI.f32))
(/.f32 (.f32 (PI.f32) (.f32 tau 4)) 4)
(*.f32 tau (PI.f32))
(/.f32 (.f32 (.f32 (PI.f32) tau) 8) 8)
(*.f32 tau (PI.f32))
(/.f32 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)) 16)
(*.f32 tau (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))) 32)
(*.f32 tau (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)))) 64)
(*.f32 tau (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))))) 128)
(*.f32 tau (PI.f32))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (PI.f32) tau) 8)))))) 256)
(*.f32 tau (PI.f32))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (PI.f32) tau) 8))))))) 512)
(*.f32 tau (PI.f32))
(pow.f32 (*.f32 (PI.f32) tau) 1)
(*.f32 tau (PI.f32))
(+.f32 (.f32 (.f32 (PI.f32) tau) x) 0)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 0 (.f32 (.f32 (PI.f32) tau) x))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(+.f32 (.f32 (.f32 (.f32 (PI.f32) tau) x) 1/2) (.f32 (.f32 (.f32 (PI.f32) tau) x) 1/2))
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(-.f32 (.f32 (.f32 (PI.f32) tau) x) 0)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (.f32 (PI.f32) tau) x) 1)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 tau (.f32 (PI.f32) (+.f32 x x))) 2)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 tau (.f32 x (*.f32 (PI.f32) 4))) 4)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8) 8)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)) 16)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8))) 32)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))) 64)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (*.f32 (PI.f32) tau) x) 8))))) 128)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))))) 256)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8)))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (.f32 (PI.f32) tau) x) 8))))))) 512)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))
(pow.f32 (.f32 (.f32 (PI.f32) tau) x) 1)
(.f32 tau (.f32 (PI.f32) x))
(.f32 (PI.f32) (.f32 tau x))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 (PI.f32) x)
✓	0.4b	(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
	0.4b	(/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (*.f32 x tau))
✓	0.5b	(pow.f32 (*.f32 (PI.f32) x) 2)

Compiler

Compiled 88 to 31 computations (64.8% saved)

series85.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	x	@	0	(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
0.0ms	x	@	inf	(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
0.0ms	x	@	-inf	(pow.f32 (*.f32 (PI.f32) x) 2)
0.0ms	x	@	0	(pow.f32 (*.f32 (PI.f32) x) 2)
0.0ms	x	@	inf	(pow.f32 (*.f32 (PI.f32) x) 2)

rewrite306.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational.json-simplify-35`
1526×	`exponential.json-3`
1526×	`rational.json-1`
1526×	`rational.json-2`
1526×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	67	36
2	142	36
3	277	36
4	526	36
5	1225	36
6	2628	36
7	4344	36
8	5684	36
9	7029	36

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (*.f32 (PI.f32) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (*.f32 (PI.f32) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 1/4 (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 (pow.f32 (PI.f32) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 x 2)) (*.f32 1/4 (*.f32 2 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (/.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (pow.f32 (*.f32 (PI.f32) 1/4) 2) (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 4) (*.f32 (pow.f32 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 4) (pow.f32 (*.f32 (+.f32 x x) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 4) (*.f32 1/2 (*.f32 (pow.f32 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 2) 4) (*.f32 (pow.f32 (PI.f32) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 2) 4) (*.f32 1/2 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 1/2) (*.f32 2 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 2) 1/2) (*.f32 2 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (pow.f32 (/.f32 (*.f32 (PI.f32) x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 2) 4)) (*.f32 1/4 (*.f32 (pow.f32 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 2) 4)) (*.f32 1/16 (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 x 2) 4)) (*.f32 1/4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 32 (*.f32 (pow.f32 (/.f32 x 4) 2) (*.f32 (pow.f32 (PI.f32) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 32 (*.f32 (pow.f32 (*.f32 (PI.f32) 1/4) 2) (*.f32 (pow.f32 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 32 (*.f32 (pow.f32 (/.f32 (PI.f32) 8) 2) (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 2) 1/4) (*.f32 (pow.f32 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 2) 1/4) (*.f32 (pow.f32 (PI.f32) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (+.f32 x x) 1/4) 2) (*.f32 (pow.f32 (PI.f32) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 (*.f32 (PI.f32) x) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) x) 4) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/16 (pow.f32 (*.f32 (*.f32 (PI.f32) x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) 4) 2) (pow.f32 (*.f32 x 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 x 1/4) 2) (pow.f32 (*.f32 (PI.f32) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 2) 1/4)) (*.f32 2 (pow.f32 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 (PI.f32) 2) 1/4)) (*.f32 4 (*.f32 (pow.f32 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 x 2) 1/4)) (*.f32 2 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (pow.f32 x 2) 1/4)) (*.f32 4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (*.f32 x 4) 2)) (*.f32 1/16 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (*.f32 (PI.f32) 4) 2)) (*.f32 1/16 (*.f32 (pow.f32 x 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (*.f32 (PI.f32) 4) 2)) (*.f32 1/64 (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (*.f32 (PI.f32) 1/4) 2)) (*.f32 4 (*.f32 2 (pow.f32 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)))))) 256)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/12) (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/6) 1)))))

simplify322.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2620×	`rational.json-simplify-41`
1968×	`rational.json-simplify-2`
1698×	`rational.json-simplify-35`
1454×	`rational.json-simplify-53`
1252×	`exponential.json-simplify-26`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	180	1806
1	436	1788
2	1335	1782
3	2299	1782
4	2922	1776
5	3365	1776
6	3737	1776
7	4079	1776
8	4189	1776
9	4703	1776
10	6774	1776
11	7192	1776
12	7292	1776
13	7571	1776
14	7958	1776

Stop Event

1×	node limit

Counts

102 → 94

Calls

Call 1

Inputs
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(+.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)
(+.f32 0 (pow.f32 (*.f32 (PI.f32) x) 2))
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1/2) (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1/2))
(-.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)
(.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2))
(.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1)
(.f32 1 (pow.f32 (.f32 (PI.f32) x) 2))
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(.f32 (.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)) 1/2)
(.f32 4 (/.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4))
(.f32 4 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4))
(.f32 (.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 x 2) 1/2))
(.f32 (.f32 2 (pow.f32 (PI.f32) 2)) (.f32 1/4 (.f32 2 (pow.f32 x 2))))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4) 1/4)
(.f32 (.f32 2 (pow.f32 x 2)) (*.f32 (pow.f32 (PI.f32) 2) 1/2))
(.f32 (.f32 2 (pow.f32 x 2)) (.f32 1/4 (.f32 2 (pow.f32 (PI.f32) 2))))
(.f32 1/2 (.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)))
(.f32 8 (/.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 2))
(.f32 8 (.f32 (pow.f32 (.f32 (PI.f32) 1/4) 2) (.f32 2 (pow.f32 x 2))))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (*.f32 (pow.f32 x 2) 1/4))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (pow.f32 (*.f32 (+.f32 x x) 1/4) 2))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (.f32 1/2 (.f32 (pow.f32 x 2) 1/2)))
(.f32 (.f32 (pow.f32 x 2) 4) (*.f32 (pow.f32 (PI.f32) 2) 1/4))
(.f32 (.f32 (pow.f32 x 2) 4) (.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 1/4 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2) 2)
(.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (*.f32 2 (pow.f32 x 2)))
(.f32 (.f32 (pow.f32 x 2) 1/2) (*.f32 2 (pow.f32 (PI.f32) 2)))
(.f32 16 (pow.f32 (/.f32 (.f32 (PI.f32) x) 4) 2))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 1/4 (*.f32 (pow.f32 x 2) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 1/16 (*.f32 2 (pow.f32 x 2))))
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 4)) (.f32 1/4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 32 (.f32 (pow.f32 (/.f32 x 4) 2) (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 32 (.f32 (pow.f32 (.f32 (PI.f32) 1/4) 2) (.f32 (pow.f32 x 2) 1/2)))
(.f32 32 (.f32 (pow.f32 (/.f32 (PI.f32) 8) 2) (*.f32 2 (pow.f32 x 2))))
(.f32 (/.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4) 4)
(.f32 1/8 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (*.f32 (pow.f32 x 2) 4))
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 4)
(.f32 (.f32 (pow.f32 x 2) 1/4) (*.f32 (pow.f32 (PI.f32) 2) 4))
(.f32 (pow.f32 (.f32 (+.f32 x x) 1/4) 2) (*.f32 (pow.f32 (PI.f32) 2) 4))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) 4) 2) 16)
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) x) 4) 2) 1/16)
(.f32 1/16 (pow.f32 (.f32 (*.f32 (PI.f32) x) 4) 2))
(.f32 (pow.f32 (.f32 (PI.f32) 4) 2) (pow.f32 (*.f32 x 1/4) 2))
(.f32 (pow.f32 (.f32 x 1/4) 2) (pow.f32 (*.f32 (PI.f32) 4) 2))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 1/4)) (.f32 2 (pow.f32 x 2)))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 1/4)) (.f32 4 (*.f32 (pow.f32 x 2) 1/2)))
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 1/4)) (.f32 2 (pow.f32 (PI.f32) 2)))
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 1/4)) (.f32 4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 x 4) 2)) (.f32 1/16 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 2)) (.f32 1/16 (*.f32 (pow.f32 x 2) 1/2)))
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 2)) (.f32 1/64 (*.f32 2 (pow.f32 x 2))))
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 1/4) 2)) (.f32 4 (*.f32 2 (pow.f32 x 2))))
(/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1)
(/.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) x) 2)) 2)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4) 4)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8) 8)
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8)))))) 256)
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 0)
(+.f32 0 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6))
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/12) (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/12))
(-.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 0)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 1)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 2)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -2/3) 4)
(/.f32 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4) 8)
(/.f32 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))))) 128)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)))))) 256)
(pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 1)

Outputs
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(+.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)
(pow.f32 (*.f32 (PI.f32) x) 2)
(+.f32 0 (pow.f32 (*.f32 (PI.f32) x) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1/2) (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1/2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(-.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 0)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (pow.f32 (.f32 (PI.f32) x) 2) 1)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 1 (pow.f32 (.f32 (PI.f32) x) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 (PI.f32) 2) (pow.f32 x 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)) 1/2)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 4 (/.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 4 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 x 2) 1/2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (PI.f32) 2)) (.f32 1/4 (.f32 2 (pow.f32 x 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4) 1/4)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 x 2)) (*.f32 (pow.f32 (PI.f32) 2) 1/2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 x 2)) (.f32 1/4 (.f32 2 (pow.f32 (PI.f32) 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 1/2 (.f32 2 (pow.f32 (*.f32 (PI.f32) x) 2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 8 (/.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 8 (.f32 (pow.f32 (.f32 (PI.f32) 1/4) 2) (.f32 2 (pow.f32 x 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (*.f32 (pow.f32 x 2) 1/4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (pow.f32 (*.f32 (+.f32 x x) 1/4) 2))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 (pow.f32 (+.f32 x x) 2) 1/16)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (+.f32 x x) 2) 1/4))
(.f32 (pow.f32 (PI.f32) 2) (.f32 1/4 (pow.f32 (+.f32 x x) 2)))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 4) (.f32 1/2 (.f32 (pow.f32 x 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 x 2) 4) (*.f32 (pow.f32 (PI.f32) 2) 1/4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 x 2) 4) (.f32 1/2 (.f32 (pow.f32 (PI.f32) 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 1/4 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/2) 2)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (*.f32 2 (pow.f32 x 2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 x 2) 1/2) (*.f32 2 (pow.f32 (PI.f32) 2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 16 (pow.f32 (/.f32 (.f32 (PI.f32) x) 4) 2))
(.f32 16 (pow.f32 (.f32 x (/.f32 (PI.f32) 4)) 2))
(.f32 16 (pow.f32 (.f32 (PI.f32) (/.f32 x 4)) 2))
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 1/4 (*.f32 (pow.f32 x 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 4)) (.f32 1/16 (*.f32 2 (pow.f32 x 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 4)) (.f32 1/4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 32 (.f32 (pow.f32 (/.f32 x 4) 2) (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(.f32 32 (.f32 (pow.f32 (PI.f32) 2) (*.f32 1/2 (pow.f32 (/.f32 x 4) 2))))
(.f32 (.f32 (pow.f32 (PI.f32) 2) 1/2) (*.f32 32 (pow.f32 (/.f32 x 4) 2)))
(.f32 32 (.f32 1/2 (pow.f32 (*.f32 x (/.f32 (PI.f32) 4)) 2)))
(.f32 32 (.f32 1/2 (pow.f32 (*.f32 (PI.f32) (/.f32 x 4)) 2)))
(.f32 32 (.f32 (pow.f32 (.f32 (PI.f32) 1/4) 2) (.f32 (pow.f32 x 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 32 (.f32 (pow.f32 (/.f32 (PI.f32) 8) 2) (*.f32 2 (pow.f32 x 2))))
(.f32 32 (.f32 2 (*.f32 (pow.f32 x 2) (pow.f32 (/.f32 (PI.f32) 8) 2))))
(.f32 32 (.f32 2 (pow.f32 (*.f32 x (/.f32 (PI.f32) 8)) 2)))
(.f32 2 (.f32 32 (pow.f32 (*.f32 x (/.f32 (PI.f32) 8)) 2)))
(.f32 64 (pow.f32 (.f32 x (/.f32 (PI.f32) 8)) 2))
(.f32 (/.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4) 4)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 1/8 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (PI.f32) 2) 1/4) (*.f32 (pow.f32 x 2) 4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1/4) 4)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 (pow.f32 x 2) 1/4) (*.f32 (pow.f32 (PI.f32) 2) 4))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (pow.f32 (.f32 (+.f32 x x) 1/4) 2) (*.f32 (pow.f32 (PI.f32) 2) 4))
(.f32 (pow.f32 (PI.f32) 2) (.f32 4 (*.f32 (pow.f32 (+.f32 x x) 2) 1/16)))
(.f32 (pow.f32 (PI.f32) 2) (.f32 (pow.f32 (+.f32 x x) 2) 1/4))
(.f32 (pow.f32 (PI.f32) 2) (.f32 1/4 (pow.f32 (+.f32 x x) 2)))
(.f32 (pow.f32 (/.f32 (.f32 (PI.f32) x) 4) 2) 16)
(.f32 16 (pow.f32 (.f32 x (/.f32 (PI.f32) 4)) 2))
(.f32 16 (pow.f32 (.f32 (PI.f32) (/.f32 x 4)) 2))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) x) 4) 2) 1/16)
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 1/16 (pow.f32 (.f32 (*.f32 (PI.f32) x) 4) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (pow.f32 (.f32 (PI.f32) 4) 2) (pow.f32 (*.f32 x 1/4) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (pow.f32 (.f32 x 1/4) 2) (pow.f32 (*.f32 (PI.f32) 4) 2))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 1/4)) (.f32 2 (pow.f32 x 2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 (PI.f32) 2) 1/4)) (.f32 4 (*.f32 (pow.f32 x 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 1/4)) (.f32 2 (pow.f32 (PI.f32) 2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (.f32 (pow.f32 x 2) 1/4)) (.f32 4 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (.f32 x 4) 2)) (.f32 1/16 (*.f32 (pow.f32 (PI.f32) 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 2)) (.f32 1/16 (*.f32 (pow.f32 x 2) 1/2)))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 4) 2)) (.f32 1/64 (*.f32 2 (pow.f32 x 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) 1/4) 2)) (.f32 4 (*.f32 2 (pow.f32 x 2))))
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 1)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 2 (pow.f32 (.f32 (PI.f32) x) 2)) 2)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 4) 4)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8) 8)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)) 16)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))) 32)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) 8)))) 64)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))))) 128)
(pow.f32 (*.f32 (PI.f32) x) 2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) 8)))))) 256)
(pow.f32 (*.f32 (PI.f32) x) 2)
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 0)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(+.f32 0 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(+.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/12) (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/12))
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(-.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 0)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 1)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 2)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -2/3) 4)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4) 8)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)) 16)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))) 32)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)))) 64)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (*.f32 (PI.f32) x) 2) -1/3) 4))))) 128)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/3) 4)))))) 256)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))
(pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) x) 2) -1/6) 1)
(.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32)))
	0.4b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
✓	5.3b	(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)

Compiler

Compiled 92 to 33 computations (64.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32)))
0.0ms	x	@	0	(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)
0.0ms	x	@	inf	(/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32)))
0.0ms	x	@	-inf	(/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32)))
0.0ms	x	@	inf	(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)

rewrite247.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`rational.json-1`
1558×	`rational.json-2`
1558×	`rational.json-4`
1558×	`rational.json-3`
1546×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	92	36
2	230	36
3	688	36
4	2280	36
5	5919	36

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)
(/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 -1 (-.f32 (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) x) 1) (-.f32 (PI.f32) (+.f32 (PI.f32) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (+.f32 x -1)) (-.f32 -1 (+.f32 (PI.f32) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (*.f32 (PI.f32) x)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 1 x))) (-.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 2 (*.f32 (PI.f32) (-.f32 1 x))) (+.f32 1 (-.f32 1 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (PI.f32) -1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) x)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1))) (-.f32 (-.f32 1 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)) (*.f32 2 (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (PI.f32) 1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (-.f32 -1 (PI.f32))) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 (+.f32 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (+.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (-.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (+.f32 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (*.f32 (PI.f32) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (*.f32 (PI.f32) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 (PI.f32) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 x 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 1/2) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x (/.f32 (PI.f32) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 4) (*.f32 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/2) (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (PI.f32) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (PI.f32) (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (PI.f32) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (*.f32 (PI.f32) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 x -1) 1) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (+.f32 x -1)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (-.f32 1 x)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 (PI.f32) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/4) (*.f32 (PI.f32) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (+.f32 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (*.f32 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x x) (*.f32 (PI.f32) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 x) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 x x) (*.f32 (PI.f32) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.f32 (PI.f32) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2) (*.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 1/2 x) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (*.f32 (PI.f32) x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 4) (/.f32 1 (*.f32 (PI.f32) (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 x)) (/.f32 1 (*.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (/.f32 -1 (*.f32 (PI.f32) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 -1 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))) (/.f32 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) 2)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (PI.f32) (*.f32 x 4))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 1/2 x) (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))))))

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational.json-simplify-2`
1112×	`rational.json-simplify-1`
1042×	`rational.json-simplify-51`
600×	`rational.json-simplify-42`
594×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2225
1	507	2219
2	1144	2199
3	3972	2193
4	7285	2193

Stop Event

1×	node limit

Counts

123 → 120

Calls

Call 1

Inputs
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
(-.f32 (*.f32 (PI.f32) x) 0)
(-.f32 -1 (-.f32 (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1) (PI.f32)))
(-.f32 (+.f32 (*.f32 (PI.f32) x) 1) 1)
(-.f32 (+.f32 (*.f32 (PI.f32) x) 1) (-.f32 (PI.f32) (+.f32 (PI.f32) -1)))
(-.f32 0 (neg.f32 (*.f32 (PI.f32) x)))
(-.f32 (+.f32 (*.f32 (PI.f32) x) -1) -1)
(-.f32 (+.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 1 (PI.f32)))
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (-.f32 -1 (+.f32 (PI.f32) -1)))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(-.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 1 x))) (-.f32 -1 (PI.f32)))
(-.f32 (-.f32 2 (*.f32 (PI.f32) (-.f32 1 x))) (+.f32 1 (-.f32 1 (PI.f32))))
(-.f32 (+.f32 (PI.f32) -1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1))
(-.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) x)) (PI.f32))
(-.f32 (+.f32 1 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1))) (-.f32 (-.f32 1 (PI.f32)) (PI.f32)))
(-.f32 (.f32 (PI.f32) (-.f32 (+.f32 x -1) 1)) (.f32 2 (neg.f32 (PI.f32))))
(-.f32 (+.f32 (PI.f32) 1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))
(-.f32 (-.f32 0 (-.f32 -1 (PI.f32))) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (+.f32 (+.f32 x -1) 1))
(*.f32 (PI.f32) (+.f32 1 (+.f32 x -1)))
(*.f32 (PI.f32) (-.f32 1 (-.f32 1 x)))
(*.f32 x (PI.f32))
(.f32 (.f32 (PI.f32) x) 1)
(.f32 -1 (neg.f32 (.f32 (PI.f32) x)))
(.f32 1 (.f32 (PI.f32) x))
(.f32 (.f32 (PI.f32) (+.f32 x x)) 1/2)
(.f32 2 (/.f32 (.f32 (PI.f32) x) 2))
(.f32 2 (.f32 x (*.f32 (PI.f32) 1/2)))
(.f32 2 (.f32 (PI.f32) (*.f32 x 1/2)))
(.f32 (+.f32 x x) (.f32 (PI.f32) 1/2))
(.f32 (.f32 (PI.f32) (*.f32 x 4)) 1/4)
(.f32 (.f32 (PI.f32) 2) (*.f32 x 1/2))
(.f32 (neg.f32 (.f32 (PI.f32) x)) -1)
(.f32 (.f32 (PI.f32) 1/2) (+.f32 x x))
(.f32 4 (.f32 x (/.f32 (PI.f32) 4)))
(.f32 (.f32 (PI.f32) 4) (*.f32 x 1/4))
(.f32 (.f32 x 1/2) (*.f32 (PI.f32) 2))
(.f32 1/2 (.f32 (PI.f32) (+.f32 x x)))
(.f32 1/4 (.f32 (PI.f32) (*.f32 x 4)))
(.f32 (/.f32 (.f32 (PI.f32) x) 2) 2)
(.f32 (.f32 x (*.f32 (PI.f32) 1/2)) 2)
(*.f32 (+.f32 (+.f32 x -1) 1) (PI.f32))
(*.f32 (+.f32 1 (+.f32 x -1)) (PI.f32))
(*.f32 (-.f32 1 (-.f32 1 x)) (PI.f32))
(.f32 (.f32 (PI.f32) (*.f32 x 1/2)) 2)
(.f32 (.f32 x (/.f32 (PI.f32) 4)) 4)
(.f32 (.f32 x 1/4) (*.f32 (PI.f32) 4))
(/.f32 (*.f32 (PI.f32) x) 1)
(/.f32 (*.f32 (PI.f32) (+.f32 x x)) 2)
(/.f32 (.f32 (PI.f32) (.f32 x 4)) 4)
(/.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)
(/.f32 (.f32 (+.f32 x x) (.f32 (PI.f32) 4)) 8)
(/.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 x) x)) -2)
(/.f32 (.f32 2 (.f32 (+.f32 x x) (*.f32 (PI.f32) 4))) 16)
(pow.f32 (*.f32 (PI.f32) x) 1)
(neg.f32 (neg.f32 (*.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 1 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2) (/.f32 (/.f32 1/2 x) (PI.f32)))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 2) (.f32 (/.f32 1 (*.f32 (PI.f32) x)) 1/2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (/.f32 1 (PI.f32)))
(.f32 2 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))))
(.f32 2 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2))
(.f32 2 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 1/2 x) (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 4) (/.f32 1 (.f32 (PI.f32) (*.f32 x 4))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 x)) (/.f32 1 (.f32 (PI.f32) 2)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)) (/.f32 1 x))
(.f32 (/.f32 1 x) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (PI.f32)))
(.f32 (/.f32 1 (.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x)))
(.f32 (neg.f32 (sin.f32 (.f32 (PI.f32) x))) (/.f32 -1 (*.f32 (PI.f32) x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 -1 (PI.f32)))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))) (/.f32 1/2 x))
(.f32 (/.f32 1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) x))
(.f32 (/.f32 1/2 x) (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 2 (PI.f32))))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) x)) 1/2) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) -1)
(.f32 (/.f32 1 (.f32 (PI.f32) 2)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) 2)
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2) 2)
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))
(.f32 (/.f32 -1 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 1/2 x) (PI.f32))) 2)
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1)
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (PI.f32) x))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))

Outputs
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
1
(+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 x 4) (pow.f32 (PI.f32) 4))) (+.f32 1 (+.f32 (.f32 -1/6 (.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2))) (.f32 -1/5040 (.f32 (pow.f32 x 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4))))
(+.f32 1 (+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)) (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
(+.f32 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)) (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (+.f32 1 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (+.f32 (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6)) (+.f32 1 (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
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(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))
(*.f32 (PI.f32) x)
(-.f32 (*.f32 (PI.f32) x) 0)
(*.f32 (PI.f32) x)
(-.f32 -1 (-.f32 (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1) (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (+.f32 (*.f32 (PI.f32) x) 1) 1)
(*.f32 (PI.f32) x)
(-.f32 (+.f32 (*.f32 (PI.f32) x) 1) (-.f32 (PI.f32) (+.f32 (PI.f32) -1)))
(*.f32 (PI.f32) x)
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(-.f32 (+.f32 (*.f32 (PI.f32) x) -1) -1)
(*.f32 (PI.f32) x)
(-.f32 (+.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) (-.f32 1 (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (neg.f32 (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (*.f32 (PI.f32) (+.f32 x -1)) (-.f32 -1 (+.f32 (PI.f32) -1)))
(*.f32 (PI.f32) x)
(-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (*.f32 (PI.f32) x)) (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (-.f32 -1 (*.f32 (PI.f32) (-.f32 1 x))) (-.f32 -1 (PI.f32)))
(*.f32 (PI.f32) x)
(-.f32 (-.f32 2 (*.f32 (PI.f32) (-.f32 1 x))) (+.f32 1 (-.f32 1 (PI.f32))))
(*.f32 (PI.f32) x)
(-.f32 (+.f32 (PI.f32) -1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) 1))
(*.f32 (PI.f32) x)
(-.f32 (+.f32 (PI.f32) (*.f32 (PI.f32) x)) (PI.f32))
(*.f32 (PI.f32) x)
(-.f32 (+.f32 1 (*.f32 (PI.f32) (-.f32 (+.f32 x -1) 1))) (-.f32 (-.f32 1 (PI.f32)) (PI.f32)))
(+.f32 (*.f32 (PI.f32) (+.f32 -1 (+.f32 x -1))) (-.f32 1 (-.f32 (-.f32 1 (PI.f32)) (PI.f32))))
(+.f32 1 (-.f32 (*.f32 (PI.f32) (+.f32 x -2)) (-.f32 (-.f32 1 (PI.f32)) (PI.f32))))
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(*.f32 (PI.f32) x)
(-.f32 (+.f32 (PI.f32) 1) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))
(*.f32 (PI.f32) x)
(-.f32 (-.f32 0 (-.f32 -1 (PI.f32))) (-.f32 (*.f32 (PI.f32) (-.f32 1 x)) -1))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (+.f32 (+.f32 x -1) 1))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (+.f32 1 (+.f32 x -1)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (-.f32 1 (-.f32 1 x)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) x) 1)
(*.f32 (PI.f32) x)
(.f32 -1 (neg.f32 (.f32 (PI.f32) x)))
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(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) (+.f32 x x)) 1/2)
(*.f32 (PI.f32) x)
(.f32 2 (/.f32 (.f32 (PI.f32) x) 2))
(*.f32 (PI.f32) x)
(.f32 2 (.f32 x (*.f32 (PI.f32) 1/2)))
(*.f32 (PI.f32) x)
(.f32 2 (.f32 (PI.f32) (*.f32 x 1/2)))
(*.f32 (PI.f32) x)
(.f32 (+.f32 x x) (.f32 (PI.f32) 1/2))
(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) (*.f32 x 4)) 1/4)
(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) 2) (*.f32 x 1/2))
(*.f32 (PI.f32) x)
(.f32 (neg.f32 (.f32 (PI.f32) x)) -1)
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(*.f32 (PI.f32) x)
(.f32 (.f32 (PI.f32) 4) (*.f32 x 1/4))
(*.f32 (PI.f32) x)
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(*.f32 (PI.f32) x)
(.f32 1/2 (.f32 (PI.f32) (+.f32 x x)))
(*.f32 (PI.f32) x)
(.f32 1/4 (.f32 (PI.f32) (*.f32 x 4)))
(*.f32 (PI.f32) x)
(.f32 (/.f32 (.f32 (PI.f32) x) 2) 2)
(*.f32 (PI.f32) x)
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(*.f32 (PI.f32) x)
(*.f32 (+.f32 (+.f32 x -1) 1) (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (+.f32 1 (+.f32 x -1)) (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (-.f32 1 (-.f32 1 x)) (PI.f32))
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(.f32 (.f32 (PI.f32) (*.f32 x 1/2)) 2)
(*.f32 (PI.f32) x)
(.f32 (.f32 x (/.f32 (PI.f32) 4)) 4)
(*.f32 (PI.f32) x)
(.f32 (.f32 x 1/4) (*.f32 (PI.f32) 4))
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (PI.f32) x) 1)
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (PI.f32) (+.f32 x x)) 2)
(*.f32 (PI.f32) x)
(/.f32 (.f32 (PI.f32) (.f32 x 4)) 4)
(*.f32 (PI.f32) x)
(/.f32 (neg.f32 (*.f32 (PI.f32) x)) -1)
(*.f32 (PI.f32) x)
(/.f32 (.f32 (+.f32 x x) (.f32 (PI.f32) 4)) 8)
(*.f32 (PI.f32) x)
(/.f32 (*.f32 (PI.f32) (-.f32 (neg.f32 x) x)) -2)
(*.f32 (PI.f32) x)
(/.f32 (.f32 2 (.f32 (+.f32 x x) (*.f32 (PI.f32) 4))) 16)
(*.f32 (PI.f32) x)
(pow.f32 (*.f32 (PI.f32) x) 1)
(*.f32 (PI.f32) x)
(neg.f32 (neg.f32 (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) x)
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+.f32 0 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(+.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) (+.f32 x x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(-.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 0)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 -1 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 -1 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 1 (*.f32 (PI.f32) x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
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(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 1/2 (/.f32 (/.f32 2 x) (PI.f32))))
(.f32 (.f32 (sin.f32 (.f32 (PI.f32) x)) 4) (/.f32 1 (.f32 (PI.f32) (*.f32 x 4))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 4 (/.f32 1 (.f32 (PI.f32) (*.f32 x 4)))))
(.f32 4 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 4 (/.f32 1/4 (.f32 (PI.f32) x))))
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(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 1/2 (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 (.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 1/2 (/.f32 (/.f32 2 x) (PI.f32))))
(.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) x)) 1/2) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 2))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (*.f32 (PI.f32) x))) -1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))) -1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 1 (.f32 (PI.f32) 2)) (.f32 (sin.f32 (.f32 (PI.f32) x)) (/.f32 2 x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) (+.f32 x x))) 2)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 -1 (PI.f32)) (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 x)))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) 2) 2)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (.f32 (sin.f32 (*.f32 (PI.f32) x)) 4))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 4 (/.f32 1 (.f32 (PI.f32) (*.f32 x 4)))))
(.f32 4 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x 4))) (sin.f32 (*.f32 (PI.f32) x))))
(.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 4 (/.f32 1/4 (.f32 (PI.f32) x))))
(.f32 (/.f32 -1 (.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(.f32 (.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 1/2 x) (PI.f32))) 2)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(pow.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x)) 1)
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (sin.f32 (.f32 (PI.f32) x)) (neg.f32 (.f32 (PI.f32) x))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (.f32 (PI.f32) x)) (.f32 (PI.f32) x))

eval454.0ms (2.2%)

Compiler: Compiled 29115 to 11333 computations (61.1% saved)

prune450.0ms (2.2%)

Pruning

93 alts after pruning (85 fresh and 8 done)

	Pruned	Kept	Total
New	1003	45	1048
Fresh	11	40	51
Picked	0	1	1
Done	2	7	9
Total	1016	93	1109

Error

0.1b

Counts

1109 → 93

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))))
✓	0.7b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	1.5b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)))))
✓	4.2b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	1.0b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	0.8b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	9.4b	(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
	11.3b	(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	6.6b	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.4b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) x)) (PI.f32))) (*.f32 x (PI.f32))))
✓	5.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) x)))
	6.7b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
	5.0b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.7b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
	0.8b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
	0.8b	(.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) (PI.f32)))
	6.5b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 (-.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))) -1) 1))
	0.9b	(.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))) (*.f32 x (PI.f32))) 2) -2))
	8.0b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (PI.f32) -1) (-.f32 (-.f32 -1 (*.f32 x (PI.f32))) (PI.f32)))))))
	0.9b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 1 x) (PI.f32))))))
	7.2b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (/.f32 1 x)))
	9.1b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
	9.2b	(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
✓	0.8b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	4.3b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	9.2b	(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	6.3b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	9.4b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	10.8b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	6.1b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	9.4b	(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
	9.4b	(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
	0.8b	(.f32 (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2)) (-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) -1) 1))
	4.4b	(.f32 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))) -1) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	0.9b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	9.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
	9.2b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
	0.8b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	9.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
	1.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
	9.2b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
	9.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
	9.1b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
	4.5b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (PI.f32))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.3b	(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	4.3b	(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	9.1b	(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
	4.4b	(.f32 (.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	9.1b	(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
	4.4b	(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (.f32 (PI.f32) x)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
	4.4b	(.f32 (.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	14.0b	(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
	14.7b	(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	14.5b	(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
	14.0b	(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
	14.8b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
✓	14.5b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
	25.9b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
	14.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
	14.3b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
✓	11.0b	(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
	11.0b	(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
	11.0b	(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
	11.0b	(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
	11.3b	(.f32 1 (.f32 x (/.f32 1 x)))
✓	11.3b	(*.f32 1 1)

Compiler

Compiled 2155 to 1427 computations (33.8% saved)

regimes387.0ms (1.9%)

Counts

130 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (PI.f32))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))) -1) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
(.f32 (.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (.f32 (PI.f32) x)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (+.f32 (.f32 1/6 (pow.f32 (*.f32 x (PI.f32)) 2)) -1))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 (-.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))) -1) 1))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.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 x (PI.f32))))
(.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) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) x) (.f32 (PI.f32) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) tau) (/.f32 (/.f32 1 x) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (PI.f32) (-.f32 1 x))) (*.f32 (PI.f32) x)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (.f32 -1 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (PI.f32)))))
(.f32 (.f32 (.f32 4 (sin.f32 (.f32 tau (.f32 (PI.f32) x)))) (/.f32 (/.f32 1/4 (.f32 tau x)) (PI.f32))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.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))) (*.f32 x (PI.f32))) 2) -2))
(.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))) (*.f32 x (PI.f32))) -1) 1))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))) -1) 1))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (+.f32 -1 (-.f32 1 (.f32 (PI.f32) (neg.f32 (.f32 x tau)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 1 x) (PI.f32))))))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2)) (-.f32 (-.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))) -1) 1))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (.f32 (PI.f32) tau)) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) 2)) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x))) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (-.f32 1 (PI.f32)) (-.f32 -1 (.f32 (PI.f32) (-.f32 (neg.f32 x) 1))))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) x)) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (-.f32 (+.f32 (PI.f32) (.f32 (PI.f32) (.f32 x tau))) (PI.f32))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (PI.f32) -1) (-.f32 (-.f32 -1 (*.f32 x (PI.f32))) (PI.f32)))))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32)) tau)) (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (*.f32 (PI.f32) x) 4)))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (+.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2)) (.f32 -1/5040 (pow.f32 (.f32 (PI.f32) x) 6))) (.f32 1/120 (pow.f32 (.f32 (PI.f32) x) 4)))))

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:

124.0ms	(*.f32 x (PI.f32))
101.0ms	(.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))))
60.0ms	tau
58.0ms	x

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`tau`
0.6b	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))))`
0.6b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 2833 to 1007 computations (64.5% saved)

regimes167.0ms (0.8%)

Counts

86 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (PI.f32))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))) -1) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
(.f32 (.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (.f32 (PI.f32) x)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (+.f32 (.f32 1/6 (pow.f32 (*.f32 x (PI.f32)) 2)) -1))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 (-.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))) -1) 1))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.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 x (PI.f32))))
(.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) (PI.f32)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) x))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 tau (.f32 (PI.f32) x))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

3 calls:

56.0ms	(*.f32 x (PI.f32))
41.0ms	x
40.0ms	tau

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`tau`
0.6b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 1675 to 721 computations (57% saved)

regimes146.0ms (0.7%)

Counts

81 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (PI.f32))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))) -1) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
(.f32 (.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (.f32 (PI.f32) x)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (+.f32 (.f32 1/6 (pow.f32 (*.f32 x (PI.f32)) 2)) -1))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 (-.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))) -1) 1))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

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

Calls

3 calls:

40.0ms	x
39.0ms	(*.f32 x (PI.f32))
37.0ms	tau

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`tau`
0.8b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 1570 to 713 computations (54.6% saved)

regimes238.0ms (1.2%)

Counts

79 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (.f32 x tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (.f32 x tau))) (sin.f32 (.f32 (PI.f32) (.f32 x tau)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) tau) (/.f32 1 (.f32 (PI.f32) x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 1 (.f32 tau (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) x) (/.f32 (/.f32 1 tau) (PI.f32))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 1 (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) x)) (/.f32 1 tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (.f32 x (PI.f32))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 x (.f32 tau (neg.f32 (PI.f32))))) -1) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 -1 (-.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (neg.f32 (PI.f32)))))))
(.f32 (.f32 4 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (/.f32 (/.f32 (/.f32 1/4 x) tau) (PI.f32)))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 tau) (/.f32 1/2 (.f32 (PI.f32) x)))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (/.f32 2 x) (/.f32 (/.f32 1/2 (PI.f32)) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 4 (/.f32 (/.f32 1/4 x) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (PI.f32)) (.f32 (/.f32 2 x) (/.f32 1/2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 -1 (-.f32 1 (+.f32 (.f32 1/6 (pow.f32 (*.f32 x (PI.f32)) 2)) -1))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (-.f32 (-.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))) -1) 1))
(.f32 (.f32 (/.f32 1 (.f32 (PI.f32) (+.f32 tau tau))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (+.f32 tau tau)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (PI.f32)) (/.f32 2 x))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Calls

3 calls:

77.0ms	tau
47.0ms	(*.f32 x (PI.f32))
40.0ms	x

Results

Error	Segments	Branch
4.1b	1	`x`
4.1b	1	`tau`
4.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 1528 to 711 computations (53.5% saved)

regimes101.0ms (0.5%)

Counts

56 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Calls

3 calls:

31.0ms	tau
27.0ms	x
25.0ms	(*.f32 x (PI.f32))

Results

Error	Segments	Branch
4.1b	1	`x`
4.1b	1	`tau`
4.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 952 to 437 computations (54.1% saved)

regimes165.0ms (0.8%)

Counts

55 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Calls

3 calls:

93.0ms	x
27.0ms	tau
25.0ms	(*.f32 x (PI.f32))

Results

Error	Segments	Branch
4.1b	1	`x`
4.1b	1	`tau`
4.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 930 to 428 computations (54% saved)

regimes182.0ms (0.9%)

Counts

54 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Calls

3 calls:

111.0ms	(*.f32 x (PI.f32))
28.0ms	tau
26.0ms	x

Results

Error	Segments	Branch
4.3b	1	`x`
4.3b	1	`tau`
4.3b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 908 to 421 computations (53.6% saved)

regimes219.0ms (1.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (+.f32 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 3)) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (-.f32 (-.f32 (.f32 x (PI.f32)) (neg.f32 (PI.f32))) (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 -1 (+.f32 (-.f32 1 (*.f32 x (PI.f32))) (PI.f32))))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 (PI.f32) (-.f32 1 (+.f32 x -1))) (PI.f32)))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 x (.f32 tau (PI.f32))) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (.f32 (/.f32 (sin.f32 (.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))

Outputs
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))

Calls

3 calls:

87.0ms	tau
24.0ms	x
23.0ms	(*.f32 x (PI.f32))

Results

Error	Segments	Branch
6.1b	1	`x`
6.1b	1	`tau`
6.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 864 to 405 computations (53.1% saved)

regimes78.0ms (0.4%)

Counts

42 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))

Outputs
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))

Calls

3 calls:

25.0ms	x
22.0ms	(*.f32 x (PI.f32))
19.0ms	tau

Results

Error	Segments	Branch
6.1b	1	`x`
6.1b	1	`tau`
6.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 663 to 322 computations (51.4% saved)

regimes67.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) tau) (/.f32 1 (.f32 x (PI.f32)))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) x) (/.f32 1 (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (/.f32 1 tau) x)) (*.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x tau)) (/.f32 1 (PI.f32))) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (PI.f32))) (/.f32 1 tau)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) tau)) (/.f32 1 x)) (.f32 x (/.f32 1 x)))
(.f32 (.f32 (/.f32 1/2 x) (.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (/.f32 2 (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 x)))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (/.f32 (sin.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (-.f32 1 x)))) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (-.f32 (PI.f32) (+.f32 (-.f32 1 (*.f32 (PI.f32) (+.f32 x -1))) -1))))

Outputs
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))

Calls

3 calls:

19.0ms	tau
18.0ms	x
18.0ms	(*.f32 x (PI.f32))

Results

Error	Segments	Branch
9.1b	1	`x`
9.1b	1	`tau`
9.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 642 to 309 computations (51.9% saved)

regimes167.0ms (0.8%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))) (.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (.f32 (pow.f32 tau 2) (pow.f32 (.f32 (PI.f32) x) 2)))) (*.f32 x (/.f32 1 x)))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))

Calls

3 calls:

15.0ms	(*.f32 x (PI.f32))
13.0ms	tau
12.0ms	x

Results

Error	Segments	Branch
9.1b	1	`x`
9.1b	1	`tau`
9.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 421 to 210 computations (50.1% saved)

regimes42.0ms (0.2%)

Counts

24 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (*.f32 x (PI.f32)) tau)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 (.f32 (PI.f32) 1/2) (-.f32 2 (*.f32 (-.f32 1 x) 2)))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 tau (.f32 (PI.f32) x))) (.f32 x (/.f32 1 x)))

Outputs
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)

Calls

3 calls:

13.0ms	(*.f32 x (PI.f32))
12.0ms	tau
11.0ms	x

Results

Error	Segments	Branch
9.1b	1	`x`
9.1b	1	`tau`
9.1b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 330 to 177 computations (46.4% saved)

regimes38.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (.f32 (PI.f32) (.f32 tau x)) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 1 (.f32 (/.f32 1 (.f32 x (PI.f32))) (sin.f32 (.f32 x (PI.f32)))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 1 (PI.f32))))
(.f32 1 (.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 1 x)))
(.f32 1 (.f32 (/.f32 (/.f32 1 x) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(.f32 1 (+.f32 1 (.f32 -1/6 (*.f32 (pow.f32 x 2) (pow.f32 (PI.f32) 2)))))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (-.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 1 x)))))
(.f32 1 (.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 4 (/.f32 (/.f32 1/4 (PI.f32)) x))))
(.f32 1 (.f32 (/.f32 (/.f32 1/2 x) (PI.f32)) (.f32 (sin.f32 (.f32 x (PI.f32))) 2)))
(.f32 1 (/.f32 (sin.f32 (.f32 x (PI.f32))) (+.f32 (-.f32 (*.f32 (PI.f32) x) -1) -1)))
(.f32 1 (/.f32 (sin.f32 (+.f32 (-.f32 (.f32 (PI.f32) x) -1) -1)) (*.f32 x (PI.f32))))
(.f32 1 (/.f32 (-.f32 (-.f32 (sin.f32 (.f32 x (PI.f32))) -1) 1) (*.f32 x (PI.f32))))

Outputs
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))

Calls

3 calls:

12.0ms	x
10.0ms	tau
9.0ms	(*.f32 x (PI.f32))

Results

Error	Segments	Branch
9.4b	1	`x`
9.4b	1	`tau`
9.4b	1	`(*.f32 x (PI.f32))`

Compiler

Compiled 248 to 145 computations (41.5% saved)

regimes8.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Outputs
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))

Calls

2 calls:

4.0ms	x
4.0ms	tau

Results

Error	Segments	Branch
11.0b	1	`x`
11.0b	1	`tau`

Compiler

Compiled 38 to 28 computations (26.3% saved)

regimes10.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f32 1 1)
(.f32 1 (.f32 x (/.f32 1 x)))
(.f32 1 (/.f32 (.f32 (PI.f32) x) (*.f32 x (PI.f32))))

Outputs
(*.f32 1 1)

Calls

2 calls:

5.0ms	tau
3.0ms	x

Results

Error	Segments	Branch
11.3b	1	`x`
11.3b	1	`tau`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	877

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(*.f32 1 1)

Outputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 x tau))) (.f32 (PI.f32) (.f32 x tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (/.f32 (sin.f32 (.f32 tau (.f32 (PI.f32) x))) (.f32 x (.f32 (PI.f32) tau))) (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) (.f32 tau x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 (PI.f32) x) 2))))
(.f32 (.f32 (/.f32 1 (.f32 x (.f32 (PI.f32) tau))) (sin.f32 (.f32 x (.f32 (PI.f32) tau)))) (*.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (.f32 (PI.f32) tau))) (.f32 x (/.f32 1 x)))
(.f32 (/.f32 (sin.f32 (.f32 x (.f32 (PI.f32) tau))) (.f32 x (*.f32 (PI.f32) tau))) 1)
(.f32 (+.f32 1 (.f32 -1/6 (pow.f32 (.f32 tau (.f32 (PI.f32) x)) 2))) (*.f32 x (/.f32 1 x)))
(.f32 1 (+.f32 1 (.f32 -1/6 (pow.f32 (*.f32 (PI.f32) x) 2))))
(*.f32 1 1)
1

Compiler

Compiled 304 to 195 computations (35.9% saved)

soundness0.0ms (0%)

end416.0ms (2%)

Compiler: Compiled 276 to 112 computations (59.4% saved)