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)

sample2.1s (1.6%)

Results

2.1s

8256×

body

256

valid

Bogosity

preprocess3.2s (2.4%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))

(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (*.f64 tau (PI.f64)) x)) (/.f64 (sin.f64 (*.f64 tau (PI.f64))) (*.f64 tau (PI.f64))))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 x tau)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 tau (PI.f64)) x)) (.f64 (.f64 tau (PI.f64)) x)) (/.f64 (sin.f64 (.f64 tau (PI.f64))) (*.f64 tau (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 tau (PI.f64))) (sin.f64 (.f64 (PI.f64) (.f64 x tau)))) (.f64 x (pow.f64 (.f64 tau (PI.f64)) 2)))

Compiler

Compiled 25 to 12 computations (52% saved)

simplify1.6s (1.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))

Outputs

(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))

(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 x (*.f64 (PI.f64) tau)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))

eval1.0ms (0%)

Compiler: Compiled 42 to 18 computations (57.1% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
▶	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))

Status

Error

Program

▶

1.0b

(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 x (*.f64 (PI.f64) tau)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))

▶

0.9b

(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))

Compiler

Compiled 44 to 23 computations (47.7% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.4b	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
✓	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
✓	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))

Compiler

Compiled 64 to 10 computations (84.4% saved)

series61.0ms (0%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sin.f64 (*.f64 x (PI.f64)))
2.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
2.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
2.0ms	tau	@	-inf	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
2.0ms	x	@	-inf	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))

Compiler

Compiled 4355 to 1670 computations (61.7% saved)

rewrite2.2s (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

131×	`egg-rr`
105×	`egg-rr`
60×	`egg-rr`
60×	`egg-rr`

Counts

4 → 356

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
(sin.f64 (*.f64 x (PI.f64)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (PI.f64)) 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3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (.f64 x (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 -1) (.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) -1))))))

simplify7.4s (5.6%)

Algorithm

1×

egglog

Counts

420 → 484

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))))
(+.f64 1 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)))))
(+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 tau (.f64 (PI.f64) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (*.f64 (PI.f64) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))))
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64))))))
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))) (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 6)) (.f64 x (PI.f64)))))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(*.f64 (PI.f64) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) (*.f64 (PI.f64) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (PI.f64) 5))) (*.f64 (PI.f64) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (PI.f64) 7))) (*.f64 (PI.f64) x))))
(sin.f64 (*.f64 (PI.f64) x))
(sin.f64 (*.f64 (PI.f64) x))
(sin.f64 (*.f64 (PI.f64) x))
(sin.f64 (*.f64 (PI.f64) x))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (/.f64 1 (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
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(.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) x))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))))
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(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 1)
(.f64 (pow.f64 x -1) (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)))
(.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (.f64 x (PI.f64))))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) (pow.f64 x -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (.f64 x (PI.f64))) (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))))
(.f64 (/.f64 (pow.f64 x -1) (PI.f64)) (sin.f64 (.f64 x (PI.f64))))
(.f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 (pow.f64 x -1) (PI.f64)))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (sin.f64 (.f64 x (PI.f64))))) (cbrt.f64 (*.f64 x (PI.f64))))
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(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) (.f64 x (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
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(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) 0)) 0) (/.f64 (+.f64 0 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3)) (+.f64 0 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) 0))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (+.f64 0 (.f64 (sin.f64 (.f64 x (PI.f64))) 0))) 0) (/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) 0) (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (+.f64 0 (.f64 (sin.f64 (.f64 x (PI.f64))) 0)))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (.f64 0 (neg.f64 (sin.f64 (.f64 x (PI.f64))))))) 0) (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (.f64 0 (neg.f64 (sin.f64 (.f64 x (PI.f64)))))))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 (sin.f64 (.f64 x (PI.f64))) 0) (/.f64 (+.f64 0 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3)) (+.f64 0 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) 0))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 (sin.f64 (.f64 x (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) 0) (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (+.f64 0 (.f64 (sin.f64 (.f64 x (PI.f64))) 0)))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (.f64 0 (neg.f64 (sin.f64 (.f64 x (PI.f64)))))))) (sin.f64 (*.f64 x (PI.f64))))
(+.f64 (-.f64 (sin.f64 (*.f64 x (PI.f64))) 1) 1)
(+.f64 (-.f64 (sin.f64 (*.f64 x (PI.f64))) 3) 3)
(+.f64 0 (sin.f64 (*.f64 x (PI.f64))))
(+.f64 (sin.f64 (*.f64 x (PI.f64))) 0)
(+.f64 (.f64 0 -1) (.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) -1))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))
(+.f64 0 (.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) -1))

Outputs
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))))
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (*.f64 x x)) (PI.f64))))
(+.f64 1 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)))))
(+.f64 1 (/.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5))) (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (*.f64 x x)))) (PI.f64)))
(+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))))
(+.f64 1 (fma.f64 -1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64)) (/.f64 (+.f64 (.f64 1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5))) (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (.f64 x x)))) (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 (PI.f64) tau) 5)) (.f64 (.f64 x tau) (PI.f64))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (fma.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 (PI.f64) tau) 7)) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 (PI.f64) tau) 5)) (.f64 (.f64 x tau) (PI.f64)))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 (.f64 x tau) (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (*.f64 (PI.f64) x)))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (fma.f64 tau (.f64 (PI.f64) x) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))))))
(fma.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7)) (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (fma.f64 tau (.f64 (PI.f64) x) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 5) (pow.f64 x 4)) (.f64 (PI.f64) tau)) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 5) (pow.f64 x 4)) (.f64 (PI.f64) tau)) (+.f64 1 (/.f64 (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) tau) 7) (pow.f64 x 6))) (.f64 -1/6 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)))) (*.f64 (PI.f64) tau))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
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(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
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(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))))
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (*.f64 (PI.f64) x))))
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64))))))
(+.f64 1 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau))) (.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)))) (.f64 (PI.f64) x)))
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))) (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 6)) (.f64 x (PI.f64)))))))
(+.f64 1 (fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (.f64 (PI.f64) x)) (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau))) (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 6)))) (*.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
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(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x tau) (PI.f64)))
(*.f64 (PI.f64) x)
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(fma.f64 -1/6 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 (PI.f64) x))
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(sin.f64 (*.f64 (PI.f64) x))
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(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))))
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(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
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(.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (PI.f64)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) x))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 2)))
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(if (!=.f64 (sin.f64 (.f64 x (PI.f64))) 0) (/.f64 (-.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) 0) (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (+.f64 0 (.f64 (sin.f64 (.f64 x (PI.f64))) 0)))) (sin.f64 (.f64 x (PI.f64))))
(if (!=.f64 (sin.f64 (.f64 (PI.f64) x)) 0) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 3) (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 2)) (sin.f64 (.f64 (PI.f64) x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (.f64 0 (neg.f64 (sin.f64 (.f64 x (PI.f64)))))))) (sin.f64 (*.f64 x (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 3) (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 2)) (sin.f64 (*.f64 (PI.f64) x)))
(+.f64 (-.f64 (sin.f64 (*.f64 x (PI.f64))) 1) 1)
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 (-.f64 (sin.f64 (*.f64 x (PI.f64))) 3) 3)
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 0 (sin.f64 (*.f64 x (PI.f64))))
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 (sin.f64 (*.f64 x (PI.f64))) 0)
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 (.f64 0 -1) (.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) -1))
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2))) (neg.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))
(sin.f64 (*.f64 (PI.f64) x))
(+.f64 0 (.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) -1))
(sin.f64 (*.f64 (PI.f64) x))

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.5b	(sin.f64 (.f64 x (.f64 (PI.f64) tau)))
✓	0.5b	(pow.f64 (*.f64 x (PI.f64)) 2)
✓	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))

Compiler

Compiled 69 to 19 computations (72.5% saved)

series51.0ms (0%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	tau	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
2.0ms	tau	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
2.0ms	x	@	0	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
2.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
2.0ms	tau	@	0	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))

Compiler

Compiled 6085 to 3100 computations (49.1% saved)

rewrite1.8s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`egg-rr`
36×	`egg-rr`
19×	`egg-rr`

Counts

3 → 263

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(pow.f64 (*.f64 x (PI.f64)) 2)
(sin.f64 (.f64 x (.f64 (PI.f64) tau)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) (pow.f64 tau -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) (neg.f64 tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 x (PI.f64))))) (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 tau -1) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 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(.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2) (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) tau) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2) (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x 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(sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) -1) (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (cbrt.f64 tau))) (/.f64 1 (cbrt.f64 (pow.f64 tau 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 -1 tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (cos.f64 (.f64 x 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Outputs

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simplify7.2s (5.4%)

Algorithm

1×

egglog

Counts

315 → 347

Calls

Call 1

Inputs
1
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(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 1/120 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (pow.f64 (PI.f64) 2))))))))
(+.f64 (.f64 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (PI.f64)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 5)) (.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 1/120 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (pow.f64 (PI.f64) 2)))))))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (.f64 (PI.f64) x)))) (.f64 (pow.f64 (PI.f64) 2) tau))
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(+.f64 (.f64 1/2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 1/2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1/2) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1/2))

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)))
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(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (neg.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)) (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)) (.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (*.f64 (PI.f64) tau)))) -2)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 1/2) (.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 1/2))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 0) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (neg.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2))) (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (-.f64 (/.f64 0 (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (-.f64 0 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(.f64 (.f64 (neg.f64 x) (PI.f64)) (*.f64 (neg.f64 x) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 1 (pow.f64 (.f64 x (PI.f64)) 2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 -1 (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (pow.f64 (.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 x (PI.f64)) (*.f64 x (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 x 2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (pow.f64 x 2) (.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) 2)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (PI.f64) (.f64 x (*.f64 x (PI.f64))))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 x (.f64 (*.f64 x (PI.f64)) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (.f64 x (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (*.f64 x (PI.f64))))
(.f64 (.f64 (PI.f64) x) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 3)))
(.f64 (.f64 (*.f64 x (PI.f64)) (PI.f64)) x)
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 x (*.f64 x (PI.f64))) (PI.f64))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(.f64 (.f64 (PI.f64) x) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 3)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (pow.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x) 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (pow.f64 (.f64 x (cbrt.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64))))
(.f64 (.f64 (PI.f64) x) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 (.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(.f64 (.f64 (PI.f64) x) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 3)))
(-.f64 (/.f64 0 -1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(-.f64 0 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(/.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) -1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (*.f64 x (PI.f64)) 2)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 2) 1/3)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(if (!=.f64 1 0) (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 (.f64 x (PI.f64)) 2))
(if (!=.f64 1 0) (pow.f64 (.f64 (PI.f64) x) 2) (pow.f64 (.f64 (PI.f64) x) 2))
(if (!=.f64 (pow.f64 (.f64 x (PI.f64)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) -1)) (pow.f64 (*.f64 x (PI.f64)) 2))
(if (!=.f64 (pow.f64 (.f64 (PI.f64) x) 2) 0) (pow.f64 (/.f64 1 (pow.f64 (.f64 (PI.f64) x) 2)) -1) (pow.f64 (*.f64 (PI.f64) x) 2))
(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 x (PI.f64)) -2)) (pow.f64 (*.f64 x (PI.f64)) 2))
(if (!=.f64 (.f64 (PI.f64) x) 0) (/.f64 1 (pow.f64 (.f64 (PI.f64) x) -2)) (pow.f64 (*.f64 (PI.f64) x) 2))
(+.f64 (.f64 1/2 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 1/2 (pow.f64 (.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(+.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) 1/2) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) 1/2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 1 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 -1 (sin.f64 (.f64 (*.f64 (neg.f64 tau) (PI.f64)) x)))
(neg.f64 (sin.f64 (neg.f64 (.f64 tau (.f64 (PI.f64) x)))))
(.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 1)
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 2)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(-.f64 (/.f64 0 -1) (sin.f64 (.f64 (.f64 (neg.f64 tau) (PI.f64)) x)))
(neg.f64 (sin.f64 (neg.f64 (.f64 tau (.f64 (PI.f64) x)))))
(-.f64 0 (sin.f64 (.f64 (.f64 (neg.f64 tau) (PI.f64)) x)))
(neg.f64 (sin.f64 (neg.f64 (.f64 tau (.f64 (PI.f64) x)))))
(/.f64 (sin.f64 (.f64 (.f64 (neg.f64 tau) (PI.f64)) x)) -1)
(neg.f64 (sin.f64 (neg.f64 (.f64 tau (.f64 (PI.f64) x)))))
(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1)
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(pow.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3) 1/3)
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3)
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1)
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(neg.f64 (sin.f64 (.f64 (.f64 (neg.f64 tau) (PI.f64)) x)))
(neg.f64 (sin.f64 (neg.f64 (.f64 tau (.f64 (PI.f64) x)))))
(if (!=.f64 1 0) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 1 0) (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))
(if (!=.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 0) (/.f64 1 (/.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 0) (/.f64 1 (pow.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) -1)) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (.f64 1/2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 1/2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1/2) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1/2))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))

eval355.0ms (0.3%)

Compiler: Compiled 34306 to 10091 computations (70.6% saved)

prune279.0ms (0.2%)

Pruning

53 alts after pruning (51 fresh and 2 done)

	Pruned	Kept	Total
New	859	51	910
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	859	53	912

Error

0.1b

Counts

912 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) 3)
	10.0b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (cbrt.f64 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 4))
	9.9b	(/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 2)
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	1.0b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 x (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau))
	8.9b	(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 tau (PI.f64))))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 tau (PI.f64)))))) (pow.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
	1.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (.f64 x (PI.f64)))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 (neg.f64 tau) (PI.f64)) x))) (neg.f64 tau))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	37.8b	(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.9b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 3) tau))
	2.1b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2)) tau))
▶	1.9b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
	1.1b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)) tau))
	1.1b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 (.f64 x (PI.f64)) (PI.f64)) x) tau))
	1.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) tau))
▶	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	2.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2)) tau))
	1.3b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	9.0b	(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 2))
	10.3b	(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
	10.7b	(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
	1.2b	(-.f64 1 (+.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))
	10.5b	(+.f64 (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (neg.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2))) (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))) 3) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.0b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
▶	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.4b	(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) tau) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) x) 2))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.1b	(.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 -1 tau))
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))
	1.6b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) x))
	6.7b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (*.f64 x (PI.f64))))
	5.1b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 x (PI.f64))))) (*.f64 x (PI.f64))))
✓	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
▶	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	1.2b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))
▶	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
	1.1b	(.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (*.f64 x (PI.f64))))))
	1.4b	(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.0b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	41.1b	1

Compiler

Compiled 2817 to 1628 computations (42.2% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
✓	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))
✓	12.7b	(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))

Compiler

Compiled 101 to 23 computations (77.2% saved)

series14.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))
0.0ms	x	@	inf	(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))
0.0ms	x	@	0	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))
0.0ms	x	@	inf	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))
0.0ms	x	@	-inf	(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))

Compiler

Compiled 1745 to 980 computations (43.8% saved)

rewrite1.6s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

100×	`egg-rr`
79×	`egg-rr`

Counts

2 → 179

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))

Outputs
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simplify4.4s (3.3%)

Algorithm

1×

egglog

Counts

203 → 261

Calls

Call 1

Inputs
(.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64)))))
(+.f64 (.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))))
1
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
1
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
-1
(-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) 1)
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)))) 1)
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))) 1)
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))))
(.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))))
(.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) -1) (/.f64 1 (-.f64 -1 (.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (+.f64 1 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))) (+.f64 1 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))))
(.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))) (+.f64 1 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))))
(.f64 -1 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) -1))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (+.f64 1 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64)))) -1))) (+.f64 1 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))))
(.f64 1 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 1)
(-.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) -1)
(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(-.f64 (+.f64 1 (/.f64 0 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 3) 2)
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 2) 1)
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 3/2) 1/2)
(-.f64 0 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -1))
(-.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 4) 3)
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 3) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))) (+.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) 3) (+.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 3))))
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64))) (+.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) 3) (+.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)))))
(/.f64 (-.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64))))
(/.f64 (+.f64 (/.f64 (sin.f64 (*.f64 x (neg.f64 (PI.f64)))) (PI.f64)) x) x)
(/.f64 (-.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64)) (neg.f64 (PI.f64)))
(/.f64 (-.f64 (.f64 x (PI.f64)) (sin.f64 (.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
(/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -1) -1)
(/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) -1) (-.f64 -1 (.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))
(/.f64 (+.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (cbrt.f64 (neg.f64 (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(fma.f64 -1 -1 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
(fma.f64 1 1 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
(fma.f64 1 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 1)
(fma.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 1 1)
(fma.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (*.f64 x (neg.f64 (PI.f64)))) 1)
(fma.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64))))) (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x) 1)
(fma.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (neg.f64 (PI.f64))) 1)
(fma.f64 (/.f64 -1 (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) 1)
(fma.f64 (cbrt.f64 (/.f64 -1 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1)
(fma.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (/.f64 -1 (PI.f64)) 1)
(fma.f64 (pow.f64 x -1) (/.f64 (sin.f64 (*.f64 x (neg.f64 (PI.f64)))) (PI.f64)) 1)
(fma.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64)))) 1)
(fma.f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 -1 (.f64 x (PI.f64))) 1)
(fma.f64 (/.f64 -1 (.f64 x (PI.f64))) (sin.f64 (.f64 x (PI.f64))) 1)
(fma.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (/.f64 1 (.f64 x (PI.f64))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 3) 1/3)
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))) 3)
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(if (!=.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 (neg.f64 (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 x 2))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
(if (!=.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (pow.f64 x 2))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) 2)))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 (neg.f64 (PI.f64)) (pow.f64 x -1))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x) 0) (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) (/.f64 (neg.f64 (PI.f64)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (/.f64 (.f64 x (neg.f64 (PI.f64))) (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
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(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x) 0) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64))))) (PI.f64)) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (neg.f64 (PI.f64))) 0) (/.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) x) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (neg.f64 (PI.f64))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (/.f64 -1 (PI.f64)) 0) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (/.f64 1 (/.f64 -1 (PI.f64)))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
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(if (!=.f64 1 0) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
(if (!=.f64 (+.f64 (/.f64 0 (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 0) (/.f64 (-.f64 (.f64 (/.f64 0 (.f64 x (PI.f64))) (/.f64 0 (.f64 x (PI.f64)))) (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (+.f64 (/.f64 0 (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(if (!=.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 0) (/.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
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(if (!=.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
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(+.f64 (/.f64 0 (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(+.f64 (-.f64 (/.f64 0 (.f64 x (PI.f64))) 0) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(+.f64 0 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))

Outputs
(.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))
(/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2))) (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64)))))
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)) (/.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6))) (.f64 -1/120 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64)))
(+.f64 (.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))))
(fma.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64)) (fma.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)) (/.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6))) (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64))))
1
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
1
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
-1
(-.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) 1)
(fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)) -1)
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)))) 1)
(+.f64 (/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2))) (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64)) -1)
(-.f64 (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))) 1)
(+.f64 (/.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6))) (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64)) (fma.f64 1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)) -1))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
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(.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(.f64 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))
(.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3)) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64))))
(.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) -1) (/.f64 1 (-.f64 -1 (.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))))))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) (/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))) (/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x)))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) (/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))) (/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x)))
(+.f64 (/.f64 0 (.f64 x (PI.f64))) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(+.f64 (-.f64 (/.f64 0 (.f64 x (PI.f64))) 0) (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))
(+.f64 0 (/.f64 (sin.f64 (.f64 x (neg.f64 (PI.f64)))) (.f64 x (PI.f64))))
(/.f64 (sin.f64 (neg.f64 (.f64 (PI.f64) x))) (.f64 (PI.f64) x))

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (PI.f64))
✓	0.3b	(.f64 (.f64 x (PI.f64)) tau)
	0.4b	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))

Compiler

Compiled 46 to 10 computations (78.3% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x (PI.f64)) tau)
0.0ms	tau	@	0	(.f64 (.f64 x (PI.f64)) tau)
0.0ms	x	@	inf	(.f64 (.f64 x (PI.f64)) tau)
0.0ms	tau	@	inf	(.f64 (.f64 x (PI.f64)) tau)
0.0ms	x	@	-inf	(.f64 (.f64 x (PI.f64)) tau)

Compiler

Compiled 795 to 35 computations (95.6% saved)

rewrite1.6s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
48×	`egg-rr`

Counts

2 → 124

Calls

Call 1

Inputs
(.f64 (.f64 x (PI.f64)) tau)
(*.f64 x (PI.f64))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (PI.f64)) tau)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 tau (.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (PI.f64) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) tau) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 x tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x tau) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (PI.f64)) tau) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 x (PI.f64)) tau)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (PI.f64)) tau) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x (PI.f64)) tau) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 (.f64 x (PI.f64)) tau) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (.f64 (.f64 x (PI.f64)) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) -3)) (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 x (PI.f64)) tau) 0) (/.f64 1 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) -1)) (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) -1/3)) (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x if 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((#(struct:change #<rule egg-rr> (2) ((x .f64 x (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 x (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) -3)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) -1)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) -1/3)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 3 0) (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (PI.f64)) (*.f64 0 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x (PI.f64))) (*.f64 1/2 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (PI.f64)) (*.f64 (*.f64 x (PI.f64)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (PI.f64)) 1/2) (*.f64 (*.f64 x (PI.f64)) 1/2))))))

simplify3.7s (2.8%)

Algorithm

1×

egglog

Counts

160 → 158

Calls

Call 1

Inputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(.f64 (.f64 x (PI.f64)) tau)
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) (cbrt.f64 (.f64 (*.f64 x (PI.f64)) tau)))
(.f64 (.f64 (PI.f64) tau) x)
(.f64 (PI.f64) (.f64 x tau))
(.f64 (.f64 x tau) (PI.f64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x) tau))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) 2)) (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 2))))
(.f64 (cbrt.f64 (.f64 x (PI.f64))) (.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 2))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)))
(.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) tau) x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) tau)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) tau)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) tau)))
(.f64 (cbrt.f64 (cbrt.f64 tau)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (.f64 (cbrt.f64 (pow.f64 tau 2)) (.f64 x (PI.f64)))))
(.f64 (.f64 tau (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) tau) (cbrt.f64 (.f64 x (PI.f64))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 (PI.f64) tau)))
(.f64 (.f64 (cbrt.f64 (pow.f64 tau 2)) (*.f64 x (PI.f64))) (cbrt.f64 tau))
(.f64 (.f64 (*.f64 (PI.f64) tau) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 x (cbrt.f64 (.f64 (PI.f64) tau))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)))
(.f64 (.f64 (.f64 x tau) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 tau (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (.f64 x (PI.f64))))
(.f64 (.f64 (.f64 tau (cbrt.f64 (.f64 x (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 2)))
(.f64 (.f64 tau (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
(.f64 (.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 tau))
(.f64 (.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 tau)) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) 2))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (PI.f64)) (.f64 x tau)))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (pow.f64 tau 2)) (*.f64 x (PI.f64))))
(.f64 (cbrt.f64 (.f64 x (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) tau))
(.f64 (.f64 tau (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x))
(.f64 (.f64 tau (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 tau (.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (pow.f64 tau 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 tau (cbrt.f64 (.f64 x (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x))
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) tau))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) tau))
(.f64 (.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) x))
(.f64 (cbrt.f64 (pow.f64 tau 2)) (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)))
(.f64 (/.f64 (.f64 (*.f64 x (PI.f64)) tau) -1) -1)
(.f64 (/.f64 (.f64 (*.f64 x (PI.f64)) tau) 2) 2)
(.f64 1 (.f64 (*.f64 x (PI.f64)) tau))
(.f64 (/.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 3)
(.f64 (.f64 (*.f64 x (PI.f64)) tau) 1)
(/.f64 (neg.f64 (.f64 (.f64 x (PI.f64)) tau)) -1)
(/.f64 (.f64 (.f64 x (PI.f64)) tau) 1)
(pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)
(pow.f64 (.f64 (.f64 x (PI.f64)) tau) 1)
(cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))
(neg.f64 (.f64 (.f64 (*.f64 x (PI.f64)) tau) -1))
(neg.f64 (.f64 -1 (.f64 (*.f64 x (PI.f64)) tau)))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) -3)) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 (.f64 (.f64 x (PI.f64)) tau) 0) (/.f64 1 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) -1)) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) -1/3)) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 2 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 1 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 -1 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))
(if (!=.f64 3 0) (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 x (PI.f64)) tau))
(+.f64 (.f64 (.f64 x (PI.f64)) tau) (.f64 0 (.f64 (*.f64 x (PI.f64)) tau)))
(+.f64 (.f64 1/2 (.f64 (.f64 x (PI.f64)) tau)) (.f64 1/2 (.f64 (.f64 x (PI.f64)) tau)))
(+.f64 (.f64 (.f64 x (PI.f64)) tau) (.f64 (.f64 (*.f64 x (PI.f64)) tau) 0))
(+.f64 (.f64 (.f64 (.f64 x (PI.f64)) tau) 1/2) (.f64 (.f64 (.f64 x (PI.f64)) tau) 1/2))
(*.f64 x (PI.f64))
(*.f64 (PI.f64) x)
(.f64 (cbrt.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (*.f64 x (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (*.f64 x (PI.f64)))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (*.f64 x (PI.f64)))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2)))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 x (PI.f64)) -1) -1)
(.f64 (/.f64 (.f64 x (PI.f64)) 2) 2)
(.f64 1 (.f64 x (PI.f64)))
(.f64 (/.f64 (.f64 x (PI.f64)) 3) 3)
(.f64 (.f64 x (PI.f64)) 1)
(/.f64 (neg.f64 (*.f64 x (PI.f64))) -1)
(/.f64 (*.f64 x (PI.f64)) 1)
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3)
(pow.f64 (*.f64 x (PI.f64)) 1)
(cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))
(neg.f64 (.f64 (.f64 x (PI.f64)) -1))
(neg.f64 (.f64 -1 (.f64 x (PI.f64))))
(if (!=.f64 (cbrt.f64 (.f64 x (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) -3)) (*.f64 x (PI.f64)))
(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 x (PI.f64)) -1)) (*.f64 x (PI.f64)))
(if (!=.f64 (pow.f64 (.f64 x (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 3) -1/3)) (*.f64 x (PI.f64)))
(if (!=.f64 2 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 1 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 -1 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 3 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(+.f64 (.f64 x (PI.f64)) (.f64 0 (*.f64 x (PI.f64))))
(+.f64 (.f64 1/2 (.f64 x (PI.f64))) (.f64 1/2 (.f64 x (PI.f64))))
(+.f64 (.f64 x (PI.f64)) (.f64 (*.f64 x (PI.f64)) 0))
(+.f64 (.f64 (.f64 x (PI.f64)) 1/2) (.f64 (.f64 x (PI.f64)) 1/2))

Outputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x tau) (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))) (PI.f64))
(.f64 (.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 x (PI.f64))
(.f64 (.f64 (.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2)))
(.f64 (cbrt.f64 (.f64 x (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2))))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2)))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))) (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(*.f64 x (PI.f64))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))) (PI.f64))
(.f64 (.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 x (PI.f64))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))) (PI.f64))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64))))
(*.f64 x (PI.f64))
(.f64 (/.f64 (.f64 x (PI.f64)) -1) -1)
(*.f64 x (PI.f64))
(.f64 (/.f64 (.f64 x (PI.f64)) 2) 2)
(*.f64 x (PI.f64))
(.f64 1 (.f64 x (PI.f64)))
(*.f64 x (PI.f64))
(.f64 (/.f64 (.f64 x (PI.f64)) 3) 3)
(*.f64 x (PI.f64))
(.f64 (.f64 x (PI.f64)) 1)
(*.f64 x (PI.f64))
(/.f64 (neg.f64 (*.f64 x (PI.f64))) -1)
(*.f64 x (PI.f64))
(/.f64 (*.f64 x (PI.f64)) 1)
(*.f64 x (PI.f64))
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3)
(*.f64 x (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3)
(*.f64 x (PI.f64))
(pow.f64 (*.f64 x (PI.f64)) 1)
(*.f64 x (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))
(*.f64 x (PI.f64))
(neg.f64 (.f64 (.f64 x (PI.f64)) -1))
(*.f64 x (PI.f64))
(neg.f64 (.f64 -1 (.f64 x (PI.f64))))
(*.f64 x (PI.f64))
(if (!=.f64 (cbrt.f64 (.f64 x (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) -3)) (*.f64 x (PI.f64)))
(if (!=.f64 (cbrt.f64 (.f64 x (PI.f64))) 0) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) -3) -1) (*.f64 x (PI.f64)))
(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 x (PI.f64)) -1)) (*.f64 x (PI.f64)))
(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (/.f64 (pow.f64 x -1) (PI.f64))) (.f64 x (PI.f64)))
(if (!=.f64 (pow.f64 (.f64 x (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 3) -1/3)) (*.f64 x (PI.f64)))
(if (!=.f64 (pow.f64 (.f64 x (PI.f64)) 3) 0) (pow.f64 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 3) -1/3) -1) (*.f64 x (PI.f64)))
(if (!=.f64 2 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 1 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 -1 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(if (!=.f64 3 0) (.f64 x (PI.f64)) (.f64 x (PI.f64)))
(+.f64 (.f64 x (PI.f64)) (.f64 0 (*.f64 x (PI.f64))))
(*.f64 x (PI.f64))
(+.f64 (.f64 1/2 (.f64 x (PI.f64))) (.f64 1/2 (.f64 x (PI.f64))))
(*.f64 x (PI.f64))
(+.f64 (.f64 x (PI.f64)) (.f64 (*.f64 x (PI.f64)) 0))
(*.f64 x (PI.f64))
(+.f64 (.f64 (.f64 x (PI.f64)) 1/2) (.f64 (.f64 x (PI.f64)) 1/2))
(*.f64 x (PI.f64))

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.4b	(.f64 (.f64 x (*.f64 x (PI.f64))) (PI.f64))
	0.5b	(sin.f64 (.f64 x (.f64 (PI.f64) tau)))
✓	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))

Compiler

Compiled 79 to 13 computations (83.5% saved)

series54.0ms (0%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	tau	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
2.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
1.0ms	tau	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
1.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
1.0ms	x	@	0	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))

Compiler

Compiled 4685 to 2620 computations (44.1% saved)

rewrite1.7s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

183×	`egg-rr`
34×	`egg-rr`

Counts

2 → 217

Calls

Call 1

Inputs
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
(.f64 (.f64 x (*.f64 x (PI.f64))) (PI.f64))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 x) (PI.f64)) (*.f64 (neg.f64 x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (PI.f64))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 x (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (*.f64 x (PI.f64)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (PI.f64))) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (PI.f64) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (PI.f64)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (*.f64 x (PI.f64)) 2) (pow.f64 (*.f64 x (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) -1)) (pow.f64 (*.f64 x (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) -2)) (pow.f64 (*.f64 x (PI.f64)) 2))))))

simplify5.7s (4.3%)

Algorithm

1×

egglog

Counts

245 → 282

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 1/120 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (pow.f64 (PI.f64) 2))))))))
(+.f64 (.f64 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (PI.f64)) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 -1/720 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 5)) (.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) tau))) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 (pow.f64 (PI.f64) 2) tau))) (.f64 1/120 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (PI.f64)) (pow.f64 (PI.f64) 2)))))))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (.f64 (PI.f64) x)))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (.f64 (PI.f64) x)))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (.f64 (PI.f64) x)))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (.f64 (PI.f64) x)))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (pow.f64 (/.f64 -1 x) 2) (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (pow.f64 (/.f64 -1 x) 2) (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (pow.f64 (/.f64 -1 x) 2) (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (pow.f64 (/.f64 -1 x) 2) (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))) (.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (.f64 (pow.f64 tau 2) (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) x)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (.f64 (pow.f64 tau 2) (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) x)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 6))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (.f64 (pow.f64 tau 2) (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) x)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 x 2) tau)))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1)
(.f64 -1 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(.f64 -1 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) (pow.f64 tau -1))
(.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)))
(.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 -1 tau))
(.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 x (PI.f64))))) (/.f64 -1 (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))))
(.f64 (pow.f64 tau -1) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 2)) (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) tau))
(.f64 (/.f64 1 (.f64 x (.f64 x (PI.f64)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) tau)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (.f64 x (.f64 x (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) tau) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (pow.f64 (.f64 x (PI.f64)) 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (/.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2) (pow.f64 (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))))
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(.f64 -1 (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
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(.f64 (.f64 x (*.f64 x (PI.f64))) (PI.f64))
(.f64 (PI.f64) (.f64 x (*.f64 x (PI.f64))))
(.f64 x (.f64 (*.f64 x (PI.f64)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))
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(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x (*.f64 x (PI.f64)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 x (PI.f64)) (PI.f64))))
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(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 x 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2))
(-.f64 0 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) -1)
(/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3) 1/3)
(pow.f64 (*.f64 x (PI.f64)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3)
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3))
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 1 0) (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 (.f64 x (PI.f64)) 2))
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(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 x (PI.f64)) -2)) (pow.f64 (*.f64 x (PI.f64)) 2))

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 -1/6 (/.f64 (.f64 (PI.f64) (pow.f64 (.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (PI.f64) 2) tau)))) (pow.f64 x 2)))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)) 2) (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 2) (.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)) 2) (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) 3) (pow.f64 (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) 3)) (+.f64 (.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))) (+.f64 (.f64 (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))) (.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)))))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (/.f64 1/2 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))) 0) (/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 3) (pow.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 3)) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (.f64 tau 2)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (/.f64 1/2 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))) 2) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (+.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (.f64 tau 2)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (neg.f64 (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (/.f64 0 (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2)) (neg.f64 (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2))) (.f64 (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) -2) (/.f64 (pow.f64 tau -1) (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)) (.f64 (/.f64 (pow.f64 tau -1) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (*.f64 (PI.f64) tau)))) -2)))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (-.f64 (/.f64 0 (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (-.f64 0 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(.f64 (pow.f64 (.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (neg.f64 x) (PI.f64)) (*.f64 (neg.f64 x) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 -1 (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 1 (pow.f64 (.f64 x (PI.f64)) 2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 x (*.f64 x (PI.f64))) (PI.f64))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (PI.f64) (.f64 x (*.f64 x (PI.f64))))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 x (.f64 (*.f64 x (PI.f64)) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 x (PI.f64)) (*.f64 x (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) 2)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (*.f64 x (PI.f64)) (PI.f64)) x)
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x (*.f64 x (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 x (PI.f64)) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 x 3)) (.f64 (*.f64 (PI.f64) x) (PI.f64)))
(.f64 (cbrt.f64 (.f64 x (.f64 x (PI.f64)))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (PI.f64))) 2)) (PI.f64)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) (PI.f64)) (.f64 (pow.f64 x 4) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(.f64 (pow.f64 x 2) (.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x (.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 x (.f64 x (PI.f64))) 2)))
(.f64 (PI.f64) (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) (PI.f64)) (.f64 (pow.f64 x 4) (*.f64 (PI.f64) (PI.f64))))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (pow.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (.f64 x (cbrt.f64 (PI.f64))) 2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 x 2))
(pow.f64 (*.f64 (PI.f64) x) 2)
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (pow.f64 x 4))))
(-.f64 0 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(/.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) -1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (*.f64 x (PI.f64)) 2)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3)
(pow.f64 (*.f64 (PI.f64) x) 2)
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(pow.f64 (*.f64 (PI.f64) x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 3))
(pow.f64 (*.f64 (PI.f64) x) 2)
(neg.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(pow.f64 (*.f64 (PI.f64) x) 2)
(if (!=.f64 1 0) (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 (.f64 x (PI.f64)) 2))
(if (!=.f64 1 0) (pow.f64 (.f64 (PI.f64) x) 2) (pow.f64 (.f64 (PI.f64) x) 2))
(if (!=.f64 (pow.f64 (.f64 x (PI.f64)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 x (PI.f64)) 2) -1)) (pow.f64 (*.f64 x (PI.f64)) 2))
(if (!=.f64 (pow.f64 (.f64 (PI.f64) x) 2) 0) (pow.f64 (/.f64 1 (pow.f64 (.f64 (PI.f64) x) 2)) -1) (pow.f64 (*.f64 (PI.f64) x) 2))
(if (!=.f64 (.f64 x (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 x (PI.f64)) -2)) (pow.f64 (*.f64 x (PI.f64)) 2))
(if (!=.f64 (.f64 (PI.f64) x) 0) (/.f64 1 (pow.f64 (.f64 (PI.f64) x) -2)) (pow.f64 (*.f64 (PI.f64) x) 2))

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
✓	3.7b	(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))

Compiler

Compiled 91 to 26 computations (71.4% saved)

series18.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))
0.0ms	x	@	0	(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))
0.0ms	tau	@	0	(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))
0.0ms	tau	@	0	(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))

Compiler

Compiled 3375 to 1130 computations (66.5% saved)

rewrite1.7s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

188×	`egg-rr`
105×	`egg-rr`

Counts

2 → 293

Calls

Call 1

Inputs
(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))
(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)) (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 1) 2)) (cbrt.f64 (-.f64 1 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))))) (-.f64 1 (cbrt.f64 (-.f64 1 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)) (-.f64 0 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 0))) (+.f64 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simplify5.2s (3.9%)

Algorithm

1×

egglog

Counts

341 → 428

Calls

Call 1

Inputs
(.f64 tau (.f64 x (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 tau (.f64 (PI.f64) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (*.f64 (PI.f64) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
1
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(if (!=.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)))
(if (!=.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (+.f64 1 (/.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)))
(if (!=.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 2) (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (-.f64 2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) 0) (.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) 3)) (.f64 (.f64 x (PI.f64)) tau)) (+.f64 1 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 2) (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (-.f64 2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (*.f64 x (PI.f64)) tau)))
(+.f64 (.f64 0 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(+.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (pow.f64 tau -1) (*.f64 x (PI.f64))))
(+.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 0 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 1))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (-.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 1)))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1)) (/.f64 (pow.f64 tau -1) (*.f64 x (PI.f64))))
(+.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0))
(+.f64 (-.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))

Outputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5)) (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (fma.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7)) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5)) (.f64 tau (.f64 (PI.f64) x)))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 tau (.f64 (PI.f64) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (*.f64 (PI.f64) x)))
(fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (fma.f64 tau (.f64 (PI.f64) x) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (+.f64 (.f64 tau (.f64 (PI.f64) x)) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))))))
(fma.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7)) (fma.f64 -1/6 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 3) (fma.f64 tau (.f64 (PI.f64) x) (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 (PI.f64) x) 5))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(-.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 3) (pow.f64 x 2)) (.f64 tau (PI.f64)))) -1)
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64))) (-.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 3) (pow.f64 x 2)) (*.f64 tau (PI.f64)))) -1))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64))) (+.f64 (/.f64 (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6))) (.f64 -1/6 (.f64 (pow.f64 (.f64 tau (PI.f64)) 3) (pow.f64 x 2)))) (.f64 tau (PI.f64))) 1))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))))
(-.f64 (.f64 -1/6 (/.f64 (/.f64 (.f64 (pow.f64 (*.f64 (PI.f64) x) 3) (pow.f64 tau 2)) x) (PI.f64))) -1)
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64))))))
(+.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (pow.f64 tau 2))) (.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)))) (*.f64 (PI.f64) x)) 1)
(+.f64 1 (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (.f64 x (PI.f64)))) (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 6)) (.f64 x (PI.f64)))))))
(-.f64 (fma.f64 1/120 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) x) (PI.f64)) (/.f64 (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (.f64 -1/6 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (pow.f64 tau 2)))) (*.f64 (PI.f64) x))) -1)
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 2)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 2)))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) 2)) (cbrt.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) (-.f64 1 (cbrt.f64 (-.f64 1 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau))))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 2)) (-.f64 0 (.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 0))) (+.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 0))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 2)) (.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) (+.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))
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(if (!=.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)))
(if (!=.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 3) (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 tau (.f64 (PI.f64) x))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 2) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)))))) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (*.f64 (PI.f64) x))))
(if (!=.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (+.f64 1 (/.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 0) (.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) (+.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) (.f64 tau (.f64 (PI.f64) x)))) 1)) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 2) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 3) (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 tau (.f64 (PI.f64) x))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 2) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)))))) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x))))
(if (!=.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 3) (pow.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 3)) (+.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 (.f64 x (PI.f64)) tau)) 2) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 3) (pow.f64 (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 tau (.f64 (PI.f64) x))) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) 2) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)))))) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (*.f64 (PI.f64) x))))
(if (!=.f64 (+.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 2) (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (-.f64 2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) 0) (.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) 3)) (.f64 (.f64 x (PI.f64)) tau)) (+.f64 1 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (+.f64 -2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 2) (.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (-.f64 2 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 2) (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1)) 2) (+.f64 (.f64 (-.f64 2 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1)) 1)) 0) (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) 3) -1) (.f64 tau (.f64 (PI.f64) x))) (-.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 2) (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1)) 3) -1)) (+.f64 (pow.f64 (.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 2) (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1)) 2) (+.f64 (.f64 (-.f64 2 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1)) 1))) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (*.f64 x (PI.f64)) tau)))
(+.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (.f64 0 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (pow.f64 tau -1) (*.f64 x (PI.f64))))
(+.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 0 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) 1))
(+.f64 (/.f64 (/.f64 (pow.f64 tau -1) x) (PI.f64)) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x))))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (-.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) 1)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1)) (/.f64 (pow.f64 tau -1) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) 0))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(+.f64 (-.f64 (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64))) (/.f64 (pow.f64 tau -1) (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))

localize41.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
✓	0.5b	(pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)
✓	0.6b	(cbrt.f64 (pow.f64 x 4))
✓	0.7b	(cbrt.f64 x)

Compiler

Compiled 107 to 41 computations (61.7% saved)

series413.0ms (0.3%)

Counts

4 → 12

Calls

15 calls:

Time	Variable		Point	Expression
9.0ms	tau	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
7.0ms	x	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
5.0ms	x	@	inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
5.0ms	tau	@	-inf	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
4.0ms	x	@	0	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))

Compiler

Compiled 24530 to 16965 computations (30.8% saved)

rewrite1.7s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

179×	`egg-rr`
28×	`egg-rr`
13×	`egg-rr`
9×	`egg-rr`

Counts

4 → 229

Calls

Call 1

Inputs
(cbrt.f64 x)
(cbrt.f64 (pow.f64 x 4))
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))

Outputs
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2)))))))))

simplify4.5s (3.4%)

Algorithm

1×

egglog

Counts

241 → 286

Calls

Call 1

Inputs
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Outputs
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 1/3) (pow.f64 (pow.f64 x 1/3) 2))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (cbrt.f64 (pow.f64 x 3)) (cbrt.f64 (pow.f64 x 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (.f64 (pow.f64 tau 2) (sin.f64 (.f64 x (PI.f64))))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 1/3) (pow.f64 (pow.f64 x 1/3) 2))))) (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) x)) (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 1/3) (pow.f64 (pow.f64 x 1/3) 2)))))
(/.f64 (+.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) (.f64 -1/6 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (pow.f64 tau 2)) (sin.f64 (.f64 (PI.f64) x))))) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 x 3)) (cbrt.f64 (pow.f64 x 3)))))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2))) 2) (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2)))) (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 2) (.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2))) 2) (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2)))) (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (neg.f64 (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))
(/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (*.f64 -2 tau)))
(+.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (+.f64 tau tau))) (neg.f64 (/.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (+.f64 tau tau)))))
(/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (*.f64 -2 tau)))
(+.f64 (/.f64 0 (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2)))
(+.f64 0 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) (.f64 tau (pow.f64 (.f64 (PI.f64) x) 2)))
(+.f64 (-.f64 (/.f64 0 (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (*.f64 -2 tau)))
(+.f64 (-.f64 0 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))) (/.f64 (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2)))))
(/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) (*.f64 -2 tau)))

eval919.0ms (0.7%)

Compiler: Compiled 95023 to 29792 computations (68.6% saved)

prune974.0ms (0.7%)

Pruning

107 alts after pruning (104 fresh and 3 done)

	Pruned	Kept	Total
New	2374	75	2449
Fresh	17	29	46
Picked	1	0	1
Done	3	3	6
Total	2395	107	2502

Error

0.1b

Counts

2502 → 107

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) 3)
	10.0b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (cbrt.f64 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 4))
	9.9b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) -2)
	1.1b	(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (PI.f64)) tau) (.f64 x (.f64 x (PI.f64))))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (PI.f64) tau)) (.f64 x (*.f64 x (PI.f64))))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 x (.f64 x (PI.f64)))) (*.f64 (PI.f64) tau))
	2.0b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 x 4))) (.f64 tau (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2)))
	8.9b	(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
	1.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (.f64 x (PI.f64)))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 (neg.f64 tau) (PI.f64)) x))) (neg.f64 tau))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.2b	(/.f64 (.f64 (/.f64 1 (.f64 x (.f64 x (PI.f64)))) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (.f64 (PI.f64) tau))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	37.8b	(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.1b	(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) tau) x))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.9b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 3) tau))
	2.7b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
	1.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) tau))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	2.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2)) tau))
	1.3b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	9.0b	(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 2))
	10.7b	(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
	1.2b	(-.f64 1 (+.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))))
	37.8b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
	38.6b	(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.1b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
	1.0b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
	6.2b	(.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) (.f64 (PI.f64) x)) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (cbrt.f64 (.f64 tau (.f64 (PI.f64) x)))))) (.f64 tau (cbrt.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	5.1b	(.f64 (/.f64 (-.f64 (/.f64 tau tau) (.f64 x (.f64 (PI.f64) (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (PI.f64) x))))) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	5.2b	(.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (.f64 x (PI.f64))) tau) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 x (PI.f64))))) (pow.f64 tau 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	4.6b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 x)) (PI.f64)) (cbrt.f64 (pow.f64 x 2))))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))))
▶	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 -1 (.f64 x (PI.f64))) (neg.f64 (sin.f64 (.f64 x (PI.f64))))))
	37.8b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	4.3b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x tau) (PI.f64))))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	4.3b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (neg.f64 (sin.f64 (.f64 x (.f64 (PI.f64) (neg.f64 tau))))))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	38.6b	(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
▶	41.1b	(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (.f64 (PI.f64) tau))) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2))) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	37.8b	(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
	1.6b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) x))
	6.7b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (*.f64 x (PI.f64))))
✓	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 1 (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (neg.f64 (PI.f64))) x) x)))
▶	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
	1.2b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) tau)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
▶	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
	37.8b	(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	4.9b	(.f64 (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.3b	(.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) -1) (.f64 (.f64 x (PI.f64)) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.4b	(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	37.8b	(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
	1.0b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.0b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64)))))))
	37.8b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
	5.5b	(.f64 (+.f64 (/.f64 (pow.f64 x -1) (.f64 tau (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
▶	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
	37.8b	(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	37.8b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
	37.8b	(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
	40.8b	(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	41.1b	1

Compiler

Compiled 5108 to 3097 computations (39.4% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
✓	12.7b	(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))

Compiler

Compiled 91 to 21 computations (76.9% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
0.0ms	x	@	inf	(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
0.0ms	x	@	-inf	(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))

Compiler

Compiled 965 to 610 computations (36.8% saved)

rewrite1.6s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

108× egg-rr

Counts

1 → 108

Calls

Call 1

Inputs
(-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 3)) (pow.f64 (fma.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (-.f64 1 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(neg.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2)) (*.f64 0 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))))) (+.f64 0 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 2)) (-.f64 1 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (PI.f64) (neg.f64 x)))) 1))) (+.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (PI.f64) (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (PI.f64) (neg.f64 x)))))) (-.f64 1 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))))))) 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simplify4.4s (3.3%)

Algorithm

1×

egglog

Counts

120 → 148

Calls

Call 1

Inputs
(.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64)))))
(+.f64 (.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))))
1
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(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
1
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 1)
(.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) -1)
(.f64 1 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)))
(.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)) (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1))
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(.f64 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2)))
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(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) 2) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1)))) (.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1)))))) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) 3) -1) (pow.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) 2) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1)))) (.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))))) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (+.f64 1 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) -1))) 0) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))
(if (!=.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2) (.f64 0 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))))) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(if (!=.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) 3) -1) (pow.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) 2) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1)))) (.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))))) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))
(if (!=.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 3) (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(+.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))
(+.f64 0 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 1)
(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))
(+.f64 1/2 (-.f64 1/2 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
(+.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 0)
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1))
(+.f64 1/2 (+.f64 1/2 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))
(+.f64 (+.f64 0 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1)) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))
(+.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 1/2) 1/2)
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 0) 1)
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 2) 3)
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3) 4)
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 1/2) 3/2)
(+.f64 (-.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 2)
(+.f64 (-.f64 1 (/.f64 0 (.f64 (PI.f64) (neg.f64 x)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) (neg.f64 x))))

Outputs
(.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64)))
(.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (*.f64 x x)) (PI.f64)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))))
(/.f64 (+.f64 (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5))) (.f64 1/6 (.f64 (pow.f64 (PI.f64) 3) (*.f64 x x)))) (PI.f64))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64)))))
(fma.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 x x)) (PI.f64)) (/.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6))) (.f64 -1/120 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64)))
(+.f64 (.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (+.f64 (.f64 -1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (.f64 1/5040 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (PI.f64))))))
(fma.f64 -1/362880 (/.f64 (.f64 (pow.f64 x 8) (pow.f64 (PI.f64) 9)) (PI.f64)) (fma.f64 1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 x x)) (PI.f64)) (/.f64 (+.f64 (.f64 1/5040 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6))) (.f64 -1/120 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)))) (PI.f64))))
1
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
1
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1 (.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 1)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) -1)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 1 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)) (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (-.f64 1 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2))))
(neg.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2))))
(.f64 (+.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))) 1) (-.f64 1 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) 2)) (-.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64))) -1)) (-.f64 1 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 2)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) -1) (/.f64 1 (neg.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (.f64 0 (cbrt.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)))))) (cbrt.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))))
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(if (!=.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2) 0) (/.f64 (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 3) (pow.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)) 2)) (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (PI.f64)))
(+.f64 (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1) (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 0 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 1)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1/2 (-.f64 1/2 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64)) 0)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1))) (pow.f64 (fma.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) (/.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (PI.f64)) (PI.f64)) 1) -1))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 1/2 (+.f64 1/2 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
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(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 0) 1)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 2) 3)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3) 4)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 1/2) 3/2)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 2)
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
(+.f64 (-.f64 1 (/.f64 0 (.f64 (PI.f64) (neg.f64 x)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) (neg.f64 x))))
(/.f64 (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))

localize35.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 x (PI.f64))
✓	0.3b	(.f64 (.f64 x tau) (PI.f64))
	0.3b	(.f64 (.f64 x (PI.f64)) tau)

Compiler

Compiled 46 to 11 computations (76.1% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	tau	@	inf	(.f64 (.f64 x tau) (PI.f64))
0.0ms	tau	@	0	(.f64 (.f64 x tau) (PI.f64))
0.0ms	x	@	0	(.f64 (.f64 x tau) (PI.f64))
0.0ms	tau	@	-inf	(.f64 (.f64 x tau) (PI.f64))
0.0ms	x	@	inf	(.f64 (.f64 x tau) (PI.f64))

Compiler

Compiled 615 to 40 computations (93.5% saved)

rewrite1.5s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

76× egg-rr

Counts

1 → 76

Calls

Call 1

Inputs
(.f64 (.f64 x tau) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x tau) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 x tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 tau (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2)) (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (PI.f64)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 tau (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (PI.f64)) tau)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (*.f64 (*.f64 (cbrt.f64 (pow.f64 tau 2)) x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2)) 2)) (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 x tau)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64)))) (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x tau)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (*.f64 tau 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*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 tau (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x tau)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 tau (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 tau 2))) (cbrt.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x tau))) (cbrt.f64 (*.f64 x tau))) (cbrt.f64 (*.f64 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x tau))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x tau))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x tau) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x tau))) (cbrt.f64 (pow.f64 (*.f64 x tau) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 tau 2)) (*.f64 (cbrt.f64 tau) (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x tau)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x tau) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 x (cbrt.f64 tau))) (cbrt.f64 (pow.f64 tau 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (pow.f64 tau 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x tau) 2)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 x tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 x tau) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x tau) (PI.f64)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x tau) (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x tau) (PI.f64)) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x tau) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 x tau) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x tau) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 x tau) (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (*.f64 x tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x tau) (PI.f64))) -3)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 x tau) (PI.f64)) 0) (/.f64 1 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) -1)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 x tau) (PI.f64)) 3) -1/3)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 3 0) (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 (*.f64 x tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 0 (*.f64 (*.f64 x tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (*.f64 x tau) (PI.f64))) (*.f64 1/2 (*.f64 (*.f64 x tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x tau) (PI.f64)) (*.f64 (*.f64 (*.f64 x tau) (PI.f64)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x tau) (PI.f64)) 1/2) (*.f64 (*.f64 (*.f64 x tau) (PI.f64)) 1/2))))))

simplify2.8s (2.1%)

Algorithm

1×

egglog

Counts

100 → 104

Calls

Call 1

Inputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 (.f64 x tau) (PI.f64))
(.f64 (PI.f64) (.f64 x tau))
(.f64 x (.f64 tau (PI.f64)))
(.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 (.f64 (*.f64 x tau) (PI.f64))))
(.f64 (.f64 tau (PI.f64)) x)
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 x (PI.f64)) tau)
(.f64 (cbrt.f64 tau) (.f64 (*.f64 (cbrt.f64 (pow.f64 tau 2)) x) (PI.f64)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) 2)) (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 x tau)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 tau (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 (cbrt.f64 (.f64 x tau)) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (*.f64 tau (PI.f64))))
(.f64 (cbrt.f64 (.f64 tau (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)) x))
(.f64 (cbrt.f64 tau) (.f64 (*.f64 (cbrt.f64 (pow.f64 tau 2)) (PI.f64)) x))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (pow.f64 tau 2)) (*.f64 x (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 tau (PI.f64)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau))))
(.f64 (.f64 (PI.f64) (*.f64 tau (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64)) (cbrt.f64 (.f64 x tau)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 tau (PI.f64))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 tau (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 x (cbrt.f64 (.f64 tau (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)))
(.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 tau 2))) (cbrt.f64 tau))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (.f64 x tau)))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) 2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (pow.f64 (.f64 x tau) 2)))
(.f64 (.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 tau 2)) (.f64 (cbrt.f64 tau) (*.f64 x (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau)))
(.f64 (cbrt.f64 (.f64 x tau)) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64)))
(.f64 (.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) x))
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) tau))
(.f64 (.f64 (PI.f64) (*.f64 x (cbrt.f64 tau))) (cbrt.f64 (pow.f64 tau 2)))
(.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (pow.f64 tau 2)))
(.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))) (cbrt.f64 x))
(.f64 (.f64 tau (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 x (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) (PI.f64)))
(.f64 (.f64 tau (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) -1) -1)
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) 2) 2)
(.f64 1 (.f64 (*.f64 x tau) (PI.f64)))
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) 3) 3)
(.f64 (.f64 (*.f64 x tau) (PI.f64)) 1)
(/.f64 (neg.f64 (.f64 (.f64 x tau) (PI.f64))) -1)
(/.f64 (.f64 (.f64 x tau) (PI.f64)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) 3)
(pow.f64 (.f64 (.f64 x tau) (PI.f64)) 1)
(cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3))
(neg.f64 (.f64 (.f64 (*.f64 x tau) (PI.f64)) -1))
(neg.f64 (.f64 -1 (.f64 (*.f64 x tau) (PI.f64))))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) -3)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 (.f64 (.f64 x tau) (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) -1)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) -1/3)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 2 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 1 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 -1 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 3 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(+.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 0 (.f64 (*.f64 x tau) (PI.f64))))
(+.f64 (.f64 1/2 (.f64 (.f64 x tau) (PI.f64))) (.f64 1/2 (.f64 (.f64 x tau) (PI.f64))))
(+.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 (*.f64 x tau) (PI.f64)) 0))
(+.f64 (.f64 (.f64 (.f64 x tau) (PI.f64)) 1/2) (.f64 (.f64 (.f64 x tau) (PI.f64)) 1/2))

Outputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 (PI.f64) x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 x tau) (PI.f64))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (PI.f64) (.f64 x tau))
(.f64 x (.f64 (PI.f64) tau))
(.f64 x (.f64 tau (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 (.f64 (*.f64 x tau) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 tau (PI.f64)) x)
(.f64 x (.f64 (PI.f64) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 x (PI.f64)) tau)
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 tau) (.f64 (*.f64 (cbrt.f64 (pow.f64 tau 2)) x) (PI.f64)))
(.f64 (.f64 x (PI.f64)) (.f64 (cbrt.f64 (.f64 tau tau)) (cbrt.f64 tau)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) 2)) (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2)) (.f64 x (.f64 (PI.f64) tau)))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 x tau)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (.f64 (.f64 x tau) (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))) (pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) (.f64 x (.f64 (PI.f64) tau)))) 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 tau (PI.f64))) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 (PI.f64) tau) (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))))
(.f64 (cbrt.f64 (.f64 x tau)) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (.f64 (*.f64 x tau) (PI.f64)) 2))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 x) (*.f64 tau (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (.f64 tau (PI.f64))) (.f64 (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)) x))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))) x)
(.f64 (cbrt.f64 tau) (.f64 (*.f64 (cbrt.f64 (pow.f64 tau 2)) (PI.f64)) x))
(.f64 (.f64 x (PI.f64)) (.f64 (cbrt.f64 (.f64 tau tau)) (cbrt.f64 tau)))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (pow.f64 tau 2)) (*.f64 x (PI.f64))))
(.f64 (.f64 x (PI.f64)) (.f64 (cbrt.f64 (.f64 tau tau)) (cbrt.f64 tau)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 tau (PI.f64)))))
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(.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) 2) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 tau) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64))))
(.f64 (cbrt.f64 tau) (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (.f64 x tau) 2))) (PI.f64)))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 x tau)))
(.f64 (.f64 (PI.f64) (*.f64 tau (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64)) (cbrt.f64 (.f64 x tau)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64)))) 2))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 tau (PI.f64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) x)) (cbrt.f64 (*.f64 (PI.f64) tau)))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau)) (cbrt.f64 (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (*.f64 tau (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 x (cbrt.f64 (.f64 tau (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)))
(.f64 x (.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 tau 2))) (cbrt.f64 tau))
(.f64 (.f64 x (PI.f64)) (.f64 (cbrt.f64 (.f64 tau tau)) (cbrt.f64 tau)))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (.f64 x tau)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x tau))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2))) (.f64 (PI.f64) (cbrt.f64 (.f64 x tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x tau) 2) 2))))
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))) (cbrt.f64 (pow.f64 (.f64 x tau) 2)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) 2)))
(.f64 (.f64 (.f64 x tau) (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) 2))))
(.f64 (cbrt.f64 (pow.f64 tau 2)) (.f64 (cbrt.f64 tau) (*.f64 x (PI.f64))))
(.f64 (.f64 x (.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 (.f64 tau tau)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 x tau)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (.f64 x tau)) (.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) x))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 (.f64 tau tau))) x)
(.f64 (.f64 (PI.f64) (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) tau))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) tau)
(.f64 (.f64 (PI.f64) (*.f64 x (cbrt.f64 tau))) (cbrt.f64 (pow.f64 tau 2)))
(.f64 (.f64 x (.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 (.f64 tau tau)))
(.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (pow.f64 tau 2)))
(.f64 (.f64 x (.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 (.f64 tau tau)))
(.f64 (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (cbrt.f64 (pow.f64 (.f64 x tau) 2)) (.f64 (PI.f64) (cbrt.f64 (.f64 x tau))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 tau (PI.f64))) (cbrt.f64 x))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 tau (cbrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 (*.f64 tau (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (PI.f64))
(.f64 (.f64 x (cbrt.f64 tau)) (*.f64 (cbrt.f64 (pow.f64 tau 2)) (PI.f64)))
(.f64 (.f64 (.f64 x (cbrt.f64 tau)) (cbrt.f64 (.f64 tau tau))) (PI.f64))
(.f64 (.f64 tau (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) x))
(.f64 (.f64 (.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) x)
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 x tau) (cbrt.f64 (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) -1) -1)
(.f64 x (.f64 (PI.f64) tau))
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) 2) 2)
(.f64 x (.f64 (PI.f64) tau))
(.f64 1 (.f64 (*.f64 x tau) (PI.f64)))
(.f64 x (.f64 (PI.f64) tau))
(.f64 (/.f64 (.f64 (*.f64 x tau) (PI.f64)) 3) 3)
(.f64 x (.f64 (PI.f64) tau))
(.f64 (.f64 (*.f64 x tau) (PI.f64)) 1)
(.f64 x (.f64 (PI.f64) tau))
(/.f64 (neg.f64 (.f64 (.f64 x tau) (PI.f64))) -1)
(.f64 x (.f64 (PI.f64) tau))
(/.f64 (.f64 (.f64 x tau) (PI.f64)) 1)
(.f64 x (.f64 (PI.f64) tau))
(pow.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) 1/3)
(.f64 x (.f64 (PI.f64) tau))
(pow.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) 3)
(.f64 x (.f64 (PI.f64) tau))
(pow.f64 (.f64 (.f64 x tau) (PI.f64)) 1)
(.f64 x (.f64 (PI.f64) tau))
(cbrt.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3))
(.f64 x (.f64 (PI.f64) tau))
(neg.f64 (.f64 (.f64 (*.f64 x tau) (PI.f64)) -1))
(.f64 x (.f64 (PI.f64) tau))
(neg.f64 (.f64 -1 (.f64 (*.f64 x tau) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(if (!=.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (.f64 x tau) (PI.f64))) -3)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 0) (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) -3) -1) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 (.f64 (.f64 x tau) (PI.f64)) 0) (/.f64 1 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) -1)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 (.f64 x (.f64 (PI.f64) tau)) 0) (/.f64 1 (/.f64 1 (.f64 x (.f64 (PI.f64) tau)))) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) -1/3)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 3) 0) (pow.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 3) -1/3) -1) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 2 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 2 0) (.f64 x (.f64 (PI.f64) tau)) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 1 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 1 0) (.f64 x (.f64 (PI.f64) tau)) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 -1 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 -1 0) (.f64 x (.f64 (PI.f64) tau)) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 3 0) (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 x tau) (PI.f64)))
(if (!=.f64 3 0) (.f64 x (.f64 (PI.f64) tau)) (.f64 x (.f64 (PI.f64) tau)))
(+.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 0 (.f64 (*.f64 x tau) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(+.f64 (.f64 1/2 (.f64 (.f64 x tau) (PI.f64))) (.f64 1/2 (.f64 (.f64 x tau) (PI.f64))))
(.f64 x (.f64 (PI.f64) tau))
(+.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (.f64 (*.f64 x tau) (PI.f64)) 0))
(.f64 x (.f64 (PI.f64) tau))
(+.f64 (.f64 (.f64 (.f64 x tau) (PI.f64)) 1/2) (.f64 (.f64 (.f64 x tau) (PI.f64)) 1/2))
(.f64 x (.f64 (PI.f64) tau))

localize48.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau))
✓	0.3b	(.f64 (.f64 x x) (pow.f64 (*.f64 (PI.f64) tau) 3))
✓	0.4b	(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
✓	0.7b	(pow.f64 (*.f64 (PI.f64) tau) 3)

Compiler

Compiled 92 to 41 computations (55.4% saved)

series68.0ms (0.1%)

Counts

4 → 28

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
2.0ms	tau	@	-inf	(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
1.0ms	tau	@	0	(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
1.0ms	tau	@	inf	(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
1.0ms	tau	@	inf	(/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau))

Compiler

Compiled 5755 to 4305 computations (25.2% saved)

rewrite1.8s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

149×	`egg-rr`
120×	`egg-rr`
105×	`egg-rr`
32×	`egg-rr`

Counts

4 → 406

Calls

Call 1

Inputs
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau)))
(.f64 (.f64 x x) (pow.f64 (*.f64 (PI.f64) tau) 3))
(/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau))

Outputs
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(neg.f64 (PI.f64)) tau)) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 -1 (.f64 (PI.f64) tau))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -1 (.f64 (PI.f64) tau)) 0) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau))) 2)))))))

simplify6.4s (4.8%)

Algorithm

1×

egglog

Counts

434 → 469

Calls

Call 1

Inputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (*.f64 (PI.f64) tau))
(.f64 (.f64 (PI.f64) tau) (pow.f64 (*.f64 (PI.f64) tau) 2))
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 tau 3))
(*.f64 (pow.f64 tau 3) (pow.f64 (PI.f64) 3))
(.f64 tau (.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) tau) 2)))
(.f64 (PI.f64) (.f64 tau (pow.f64 (*.f64 (PI.f64) tau) 2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) tau))) 2))
(.f64 (.f64 tau (pow.f64 (*.f64 (PI.f64) tau) 2)) (PI.f64))
(.f64 (.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) tau) 2)) tau)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (.f64 (PI.f64) tau))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2)))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (.f64 (PI.f64) tau))) 2) (cbrt.f64 (*.f64 (PI.f64) tau)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (*.f64 (PI.f64) tau))))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 tau 3)))
(.f64 (.f64 (pow.f64 tau 3) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 3) tau) (pow.f64 tau 2))
(.f64 tau (.f64 (pow.f64 tau 2) (pow.f64 (PI.f64) 3)))
(.f64 -1 (pow.f64 (.f64 (neg.f64 (PI.f64)) tau) 3))
(.f64 1 (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1)
(-.f64 (/.f64 0 -1) (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(-.f64 0 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(/.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3) -1)
(/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 1)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 3))
(neg.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(if (!=.f64 1 0) (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 (.f64 (PI.f64) tau) 3))
(if (!=.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 0) (/.f64 1 (pow.f64 (/.f64 (pow.f64 tau -1) (PI.f64)) 3)) (pow.f64 (.f64 (PI.f64) tau) 3))
(+.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 1/2 (pow.f64 (.f64 (PI.f64) tau) 3)))
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1/2))
(.f64 (/.f64 -1/6 tau) (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(.f64 (cbrt.f64 -1/6) (/.f64 (.f64 (cbrt.f64 1/36) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (PI.f64) tau)))
(.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2)))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)) (cbrt.f64 1/36))
(.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64)) (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) tau))
(.f64 (cbrt.f64 1/36) (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 (cbrt.f64 1/36) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (PI.f64) tau)) (cbrt.f64 -1/6))
(.f64 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2)) (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))) (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (*.f64 (PI.f64) tau) 3)) (/.f64 -1/6 tau))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (*.f64 -1/6 (pow.f64 x 2)) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau))) (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (*.f64 (PI.f64) tau) (cbrt.f64 tau))) 2))
(.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (/.f64 (.f64 -1/6 (pow.f64 (*.f64 (PI.f64) tau) 3)) tau))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau))) 2) (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (*.f64 (PI.f64) tau) (cbrt.f64 tau))))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2) (.f64 -1/6 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau))))))
(.f64 (/.f64 (.f64 -1/6 (pow.f64 (*.f64 (PI.f64) tau) 3)) tau) (/.f64 (pow.f64 x 2) (PI.f64)))
(.f64 (.f64 -1/6 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2))
(.f64 (/.f64 -1/6 (PI.f64)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau))
(.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) tau) (/.f64 1 (PI.f64)))
(.f64 (.f64 -1/6 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (.f64 (PI.f64) tau) 3))) (pow.f64 tau -1))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) (/.f64 -1/6 (PI.f64)))
(.f64 (/.f64 -1/6 (.f64 (PI.f64) tau)) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))
(.f64 (/.f64 (pow.f64 tau -1) (PI.f64)) (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))
(.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (/.f64 (pow.f64 tau -1) (PI.f64)))
(.f64 -1 (.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)) -1/6))
(.f64 -1 (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))
(.f64 -1 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))))
(.f64 -1/6 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(.f64 (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (.f64 (PI.f64) tau))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2))))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) -1/6)
(.f64 (.f64 1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (/.f64 -1 (.f64 (PI.f64) tau)))
(.f64 1 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (.f64 (PI.f64) tau))) 1)
(-.f64 (/.f64 0 (/.f64 (.f64 (neg.f64 (PI.f64)) tau) -1/6)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 (*.f64 (neg.f64 (PI.f64)) tau) -1/6)))
(-.f64 (/.f64 0 (/.f64 (.f64 (PI.f64) tau) -1/6)) (/.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 (.f64 (PI.f64) tau) -1/6)))
(-.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))
(-.f64 (/.f64 (/.f64 0 (neg.f64 (PI.f64))) (/.f64 tau -1/6)) (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (neg.f64 (pow.f64 x 2)) (PI.f64))) (/.f64 tau -1/6)))
(-.f64 0 (.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau)) -1/6))
(-.f64 0 (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau)))
(-.f64 0 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (PI.f64)))) (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 2))) (cbrt.f64 tau))
(/.f64 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (.f64 (PI.f64) tau) 3)) (cbrt.f64 tau)) -6) (cbrt.f64 (pow.f64 tau 2)))
(/.f64 (.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64)) (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (cbrt.f64 tau))) (cbrt.f64 (pow.f64 tau 2)))
(/.f64 (.f64 -1/6 (/.f64 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (*.f64 (PI.f64) tau) 3)) (cbrt.f64 tau))) (cbrt.f64 (pow.f64 tau 2)))
(/.f64 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (PI.f64)))) (.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) tau))
(/.f64 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 tau -1/6))
(/.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 (*.f64 (neg.f64 (PI.f64)) tau) -1/6))
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(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))))
(+.f64 (.f64 (/.f64 -1 (.f64 (PI.f64) tau)) 0) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2))
(+.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))) 2)))
(+.f64 0 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau))) 2)))

Outputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (*.f64 x x))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (*.f64 (PI.f64) tau))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (.f64 (PI.f64) tau) (pow.f64 (*.f64 (PI.f64) tau) 2))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(*.f64 (pow.f64 (PI.f64) 3) (pow.f64 tau 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(*.f64 (pow.f64 tau 3) (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 tau (.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) tau) 2)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (PI.f64) (.f64 tau (pow.f64 (*.f64 (PI.f64) tau) 2)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (cbrt.f64 (.f64 (PI.f64) tau)) (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) tau))) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (.f64 tau (pow.f64 (*.f64 (PI.f64) tau) 2)) (PI.f64))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (.f64 (PI.f64) (pow.f64 (*.f64 (PI.f64) tau) 2)) tau)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (.f64 (PI.f64) tau))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (.f64 (PI.f64) tau))) 2) (cbrt.f64 (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (*.f64 (PI.f64) tau))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 tau 3)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (.f64 (pow.f64 tau 3) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) tau) (pow.f64 tau 2))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 tau (.f64 (pow.f64 tau 2) (pow.f64 (PI.f64) 3)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 -1 (pow.f64 (.f64 (neg.f64 (PI.f64)) tau) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 1 (pow.f64 (.f64 (PI.f64) tau) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(-.f64 (/.f64 0 -1) (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(-.f64 0 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(/.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3) -1)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 1)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 3) 1/3)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 1)
(pow.f64 (*.f64 (PI.f64) tau) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(neg.f64 (pow.f64 (*.f64 (neg.f64 (PI.f64)) tau) 3))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(if (!=.f64 1 0) (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 (.f64 (PI.f64) tau) 3))
(if (!=.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 0) (/.f64 1 (pow.f64 (/.f64 (pow.f64 tau -1) (PI.f64)) 3)) (pow.f64 (.f64 (PI.f64) tau) 3))
(if (!=.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 0) (pow.f64 (pow.f64 (/.f64 (pow.f64 tau -1) (PI.f64)) 3) -1) (pow.f64 (.f64 (PI.f64) tau) 3))
(+.f64 (.f64 1/2 (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 1/2 (pow.f64 (.f64 (PI.f64) tau) 3)))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(+.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1/2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) 1/2))
(pow.f64 (*.f64 (PI.f64) tau) 3)
(.f64 (/.f64 -1/6 tau) (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(.f64 (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))) (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(.f64 (cbrt.f64 -1/6) (/.f64 (.f64 (cbrt.f64 1/36) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (.f64 (PI.f64) tau)) (cbrt.f64 -1/6))
(.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2)))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)) (cbrt.f64 1/36))
(.f64 (cbrt.f64 1/36) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64)) (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) tau))
(/.f64 (.f64 (.f64 (.f64 x x) -1/6) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau))
(.f64 (cbrt.f64 1/36) (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)))
(.f64 (cbrt.f64 1/36) (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 -1/6)) (.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 (cbrt.f64 1/36) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (PI.f64) tau)) (cbrt.f64 -1/6))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (.f64 (PI.f64) tau)) (cbrt.f64 -1/6))
(.f64 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2)) (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))) (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))))
(.f64 (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))) (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (*.f64 (PI.f64) tau) 3)) (/.f64 -1/6 tau))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (*.f64 -1/6 (pow.f64 x 2)) (PI.f64)))
(/.f64 (.f64 (.f64 (.f64 x x) -1/6) (pow.f64 (.f64 (PI.f64) tau) 3)) (*.f64 (PI.f64) tau))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau))) (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (*.f64 (PI.f64) tau) (cbrt.f64 tau))) 2))
(.f64 (/.f64 (.f64 (.f64 x x) -1/6) (PI.f64)) (pow.f64 (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau)) 3))
(.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (/.f64 (.f64 -1/6 (pow.f64 (*.f64 (PI.f64) tau) 3)) tau))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) -1/6) (.f64 x x)) (*.f64 (PI.f64) tau))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau))) 2) (.f64 (cbrt.f64 (/.f64 (.f64 -1/6 (pow.f64 x 2)) (PI.f64))) (/.f64 (*.f64 (PI.f64) tau) (cbrt.f64 tau))))
(.f64 (/.f64 (.f64 (.f64 x x) -1/6) (PI.f64)) (pow.f64 (/.f64 (.f64 (PI.f64) tau) (cbrt.f64 tau)) 3))
(.f64 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2) (.f64 -1/6 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau))))))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (.f64 -1/6 (pow.f64 (*.f64 (PI.f64) tau) 3)) tau) (/.f64 (pow.f64 x 2) (PI.f64)))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) -1/6) (.f64 x x)) (*.f64 (PI.f64) tau))
(.f64 (.f64 -1/6 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)))) 2))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 -1/6 (PI.f64)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau)))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) tau) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (.f64 -1/6 (.f64 (/.f64 (pow.f64 x 2) (PI.f64)) (pow.f64 (.f64 (PI.f64) tau) 3))) (pow.f64 tau -1))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) (/.f64 -1/6 (PI.f64)))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
(.f64 (/.f64 -1/6 (.f64 (PI.f64) tau)) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))
(.f64 (/.f64 (.f64 x x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) -1/6))
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(if (!=.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (PI.f64) tau)) 2) 0) (/.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (PI.f64) tau)) (/.f64 (.f64 (PI.f64) tau) (pow.f64 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (PI.f64) tau)) 2))) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))))
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(if (!=.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)) 0) (/.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 0 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(if (!=.f64 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (neg.f64 (/.f64 (.f64 x x) (PI.f64)))) tau) 0) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (*.f64 (PI.f64) tau))))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau))) (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) 3) (pow.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau))) (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2) 0) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 0 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))))) 0) (/.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 0 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2) 0) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))))
(if (!=.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) 3) (pow.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau))) (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 3) (+.f64 0 (+.f64 (pow.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 2) (.f64 0 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))) 2)) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau))))
(+.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 (.f64 0 (/.f64 -1 (.f64 (PI.f64) tau))) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 (.f64 (/.f64 -1 (.f64 (PI.f64) tau)) 0) (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 3)) 1/2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 (/.f64 0 (.f64 (neg.f64 (PI.f64)) tau)) (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau))) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 0 (.f64 (/.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))) (pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (neg.f64 (PI.f64)) tau))) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 (.f64 x x) (.f64 (PI.f64) tau)))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.4b	(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))
✓	0.5b	(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))

Compiler

Compiled 72 to 12 computations (83.3% saved)

series29.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	tau	@	inf	(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))
1.0ms	tau	@	-inf	(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))
1.0ms	tau	@	0	(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))
0.0ms	x	@	0	(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
0.0ms	x	@	0	(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))

Compiler

Compiled 3375 to 1130 computations (66.5% saved)

rewrite1.6s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

160×	`egg-rr`
60×	`egg-rr`

Counts

2 → 220

Calls

Call 1

Inputs
(sin.f64 (.f64 (.f64 x tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau))

Outputs

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(neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) 3) (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau)))) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (*.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (*.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 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(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (*.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (*.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) 3) (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau)))) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (*.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 -1 (*.f64 (*.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) x) tau)) 0) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (neg.f64 (*.f64 (*.f64 (PI.f64) x) tau))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))))))

simplify4.7s (3.6%)

Algorithm

1×

egglog

Counts

268 → 307

Calls

Call 1

Inputs
(.f64 tau (.f64 x (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(.f64 tau (.f64 x (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (.f64 tau (*.f64 x (PI.f64))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 x (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 x (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
1
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) 1)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) (+.f64 1 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (.f64 x (PI.f64))))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 6)) (.f64 x (PI.f64)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) (+.f64 1 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau))))
(.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 2)))
(.f64 -1 (neg.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau))))
(.f64 1 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)))
(.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 1)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (+.f64 0 (.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0))) (-.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (.f64 0 (neg.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))))) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))) (+.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))
(.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 2))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(-.f64 (.f64 (sin.f64 0) (cos.f64 (.f64 (.f64 (PI.f64) x) tau))) (.f64 (cos.f64 0) (sin.f64 (neg.f64 (.f64 (.f64 (PI.f64) x) tau)))))
(-.f64 (/.f64 0 -1) (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(-.f64 1 (+.f64 1 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))
(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(-.f64 3 (+.f64 3 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))
(-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(-.f64 0 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(-.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 0)
(/.f64 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) -1)
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 1)
(fma.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) 0)
(fma.f64 -1 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0)
(fma.f64 1 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 0)
(fma.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 1 0)
(fma.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0)
(fma.f64 0 0 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
(fma.f64 0 3 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
(fma.f64 0 1 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
(fma.f64 1 0 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
(pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 1)
(pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 3)
(pow.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 3) 1/3)
(cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 3))
(neg.f64 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(neg.f64 (-.f64 (neg.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0))
(neg.f64 (sin.f64 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))))
(if (!=.f64 1 0) (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
(if (!=.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))) (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))
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(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))))) 0) (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau)))) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) 3) (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau)))) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(if (!=.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) 3) (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau)))) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)) 2) (.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(+.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(+.f64 (.f64 0 (/.f64 -1 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(+.f64 (.f64 (/.f64 -1 (.f64 (.f64 (PI.f64) x) tau)) 0) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(+.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))
(+.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))

Outputs
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 (PI.f64) x) tau)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (.f64 tau (*.f64 x (PI.f64))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 (PI.f64) tau) 5)) (.f64 (.f64 (PI.f64) x) tau)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 x 3) (pow.f64 (.f64 tau (PI.f64)) 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 tau (PI.f64)) 7))) (+.f64 (.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 tau (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (fma.f64 -1/5040 (.f64 (pow.f64 x 7) (pow.f64 (.f64 (PI.f64) tau) 7)) (fma.f64 1/120 (.f64 (pow.f64 x 5) (pow.f64 (.f64 (PI.f64) tau) 5)) (.f64 (.f64 (PI.f64) x) tau))))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 tau (.f64 x (PI.f64)))
(.f64 (.f64 (PI.f64) x) tau)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (.f64 tau (*.f64 x (PI.f64))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 x (PI.f64)) 5))) (.f64 tau (.f64 x (PI.f64)))))
(fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (fma.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 5)) (.f64 (.f64 (PI.f64) x) tau)))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 x (PI.f64)) 7) (pow.f64 tau 7))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 x (PI.f64)) 3) (pow.f64 tau 3))) (+.f64 (.f64 1/120 (.f64 (pow.f64 tau 5) (pow.f64 (.f64 x (PI.f64)) 5))) (.f64 tau (*.f64 x (PI.f64))))))
(fma.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 7)) (fma.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) x) tau) 3) (fma.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 5)) (.f64 (.f64 (PI.f64) x) tau))))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 (PI.f64) x)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(sin.f64 (.f64 tau (.f64 x (PI.f64))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))
(+.f64 1 (/.f64 (.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (PI.f64) tau)))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 5) (pow.f64 x 4)) (.f64 (PI.f64) tau)) (+.f64 1 (/.f64 (.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 (PI.f64) tau))))
(+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (.f64 tau (PI.f64)))) (+.f64 1 (+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (.f64 tau (PI.f64)))) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 tau (PI.f64)) 3)) (.f64 tau (PI.f64)))))))
(fma.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 5) (pow.f64 x 4)) (.f64 (PI.f64) tau)) (+.f64 1 (/.f64 (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) tau) 7) (pow.f64 x 6))) (.f64 -1/6 (.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (PI.f64) tau))))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
1
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) 1)
(fma.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (*.f64 (PI.f64) x)) 1)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) (+.f64 1 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (.f64 x (PI.f64))))))
(fma.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 (PI.f64) x)) (+.f64 1 (/.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (PI.f64) x))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 6)) (.f64 x (PI.f64)))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)) (.f64 x (PI.f64)))) (+.f64 1 (.f64 1/120 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (.f64 x (PI.f64)))))))
(+.f64 (/.f64 (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (.f64 -1/6 (.f64 (pow.f64 tau 2) (pow.f64 (.f64 (PI.f64) x) 3)))) (.f64 (PI.f64) x)) (+.f64 1 (/.f64 (.f64 1/120 (.f64 (pow.f64 (.f64 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (PI.f64) x))))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (.f64 tau (.f64 (PI.f64) x)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 2)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 -1 (neg.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 1 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 1)
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (+.f64 0 (.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0))) (-.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))) 0))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (.f64 0 (neg.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))))) (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) 2)) (.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))) (+.f64 0 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
(.f64 (neg.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))) (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) 2))))
(sin.f64 (.f64 (.f64 (PI.f64) x) tau))
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(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau)) 2)) (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau)))
(+.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 (.f64 0 (/.f64 -1 (.f64 (.f64 (PI.f64) x) tau))) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 (.f64 (/.f64 -1 (.f64 (.f64 (PI.f64) x) tau)) 0) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 (/.f64 0 (neg.f64 (.f64 (.f64 (PI.f64) x) tau))) (.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 0 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))
(+.f64 0 (.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau))) 2)))
(/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 (.f64 (PI.f64) x) tau))

localize69.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))
✓	1.1b	(-.f64 3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))))
	3.7b	(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))

Compiler

Compiled 128 to 39 computations (69.5% saved)

series10.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 3 (+.f64 3 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64))))))

0.0ms

-inf

(-.f64 3 (+.f64 3 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64))))))

0.0ms

inf

(-.f64 3 (+.f64 3 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64))))))

Compiler

Compiled 715 to 340 computations (52.4% saved)

rewrite2.4s (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

151× egg-rr

Counts

1 → 151

Calls

Call 1

Inputs
(-.f64 3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (neg.f64 (PI.f64))))))

Outputs

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simplify4.5s (3.4%)

Algorithm

1×

egglog

Counts

163 → 207

Calls

Call 1

Inputs
1
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(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
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Outputs
1
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(+.f64 (/.f64 27 (+.f64 9 (.f64 (-.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (-.f64 6 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))) (neg.f64 (/.f64 (pow.f64 (-.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 3) (+.f64 9 (.f64 (-.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (-.f64 6 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 3) 27) (-.f64 -9 (.f64 (-.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (-.f64 6 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))))))
(+.f64 -3 (.f64 (+.f64 -3 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (neg.f64 x)) (PI.f64))) -1))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 -3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 3 (+.f64 -3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) -3)
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 (+.f64 -3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 3)
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 0)
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(+.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))

eval1.5s (1.1%)

Compiler: Compiled 94502 to 32703 computations (65.4% saved)

prune1.4s (1%)

Pruning

117 alts after pruning (111 fresh and 6 done)

	Pruned	Kept	Total
New	2369	32	2401
Fresh	20	79	99
Picked	1	0	1
Done	1	6	7
Total	2391	117	2508

Error

0.1b

Counts

2508 → 117

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) 3)
	10.0b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (cbrt.f64 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 4))
	9.9b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) -2)
	1.1b	(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (PI.f64)) tau) (.f64 x (.f64 x (PI.f64))))
▶	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (PI.f64) tau)) (.f64 x (*.f64 x (PI.f64))))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 x (.f64 x (PI.f64)))) (*.f64 (PI.f64) tau))
	2.0b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 x 4))) (.f64 tau (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2)))
	8.9b	(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
	1.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (.f64 x (PI.f64)))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 (neg.f64 tau) (PI.f64)) x))) (neg.f64 tau))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.2b	(/.f64 (.f64 (/.f64 1 (.f64 x (.f64 x (PI.f64)))) (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64))))) (.f64 (PI.f64) tau))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	37.8b	(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.1b	(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) tau) x))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.9b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 3) tau))
	1.5b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) tau))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	1.3b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	9.0b	(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 2))
	10.7b	(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
	1.2b	(-.f64 1 (+.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (neg.f64 (pow.f64 (.f64 x (PI.f64)) 2))))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64))) 3) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
	38.6b	(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.9b	(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.1b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
	1.0b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 x tau)) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
	5.1b	(.f64 (/.f64 (-.f64 (/.f64 tau tau) (.f64 x (.f64 (PI.f64) (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (PI.f64) x))))) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	5.2b	(.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (.f64 x (PI.f64))) tau) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 x (PI.f64))))) (pow.f64 tau 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	4.6b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.8b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (if (!=.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3) 0) (.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3) (+.f64 1 (/.f64 3 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 x)) (PI.f64)) (cbrt.f64 (pow.f64 x 2))))
▶	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) 27) 27) (.f64 x (PI.f64))))
	4.5b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))))
	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	4.8b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 9 (-.f64 9 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 1 (.f64 x (PI.f64)))))
	4.4b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (.f64 3 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3)))))
	37.8b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	4.3b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x tau) (PI.f64))))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	4.3b	(.f64 (/.f64 (-.f64 1 (-.f64 1 (neg.f64 (sin.f64 (.f64 x (.f64 (PI.f64) (neg.f64 tau))))))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	38.6b	(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
	41.1b	(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
✓	41.1b	(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (.f64 (PI.f64) tau))) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2))) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
▶	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
	1.6b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
	6.7b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (*.f64 x (PI.f64))))
✓	0.9b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 1 (/.f64 (-.f64 x (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64))) x)))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
	1.2b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) tau)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) x))
✓	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.1b	(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
	37.8b	(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	5.3b	(.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) -1) (.f64 (.f64 x (PI.f64)) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.4b	(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	37.8b	(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
	1.1b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (PI.f64)) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.0b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))
	37.8b	(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
	5.5b	(.f64 (+.f64 (/.f64 (pow.f64 x -1) (.f64 tau (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	38.6b	(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
	38.6b	(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
▶	38.6b	(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
▶	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
✓	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
	37.8b	(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
	37.8b	(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
	40.8b	(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	41.1b	1

Compiler

Compiled 5585 to 3462 computations (38% saved)

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.4b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(pow.f64 (*.f64 x (PI.f64)) 2)

Compiler

Compiled 66 to 18 computations (72.7% saved)

series46.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	tau	@	inf	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
2.0ms	tau	@	0	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
1.0ms	tau	@	-inf	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
1.0ms	x	@	0	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
0.0ms	x	@	inf	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))

Compiler

Compiled 4185 to 2240 computations (46.5% saved)

rewrite1.8s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

156× egg-rr

Counts

1 → 156

Calls

Call 1

Inputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 tau))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 tau 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 2)) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 tau 2))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))) (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 2)) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 x 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simplify3.5s (2.6%)

Algorithm

1×

egglog

Counts

180 → 225

Calls

Call 1

Inputs
1
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(/.f64 (.f64 (pow.f64 (/.f64 -1 x) 2) (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 tau (.f64 (PI.f64) x))))) (.f64 (pow.f64 (PI.f64) 2) tau))
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(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) x)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
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Outputs
1
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(if (!=.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2)) 0) (pow.f64 (/.f64 tau (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2))) -1) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 tau (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2))) (/.f64 tau (cbrt.f64 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) 2)) (sin.f64 (.f64 x (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 tau (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) 2)) (sin.f64 (.f64 x (PI.f64)))))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (pow.f64 (.f64 (PI.f64) x) 2)) 2))) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (pow.f64 (.f64 (PI.f64) x) 2))) (/.f64 tau (.f64 (sin.f64 (.f64 (PI.f64) x)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (pow.f64 (.f64 (PI.f64) x) 2)) 2))))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) 0) (/.f64 (sin.f64 (.f64 x (PI.f64))) (/.f64 tau (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (pow.f64 (.f64 (PI.f64) x) 2)) 0) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (/.f64 tau (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (pow.f64 (.f64 (PI.f64) x) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) 0) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 tau (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) 0) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau) (sin.f64 (.f64 (PI.f64) x)))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) 0) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (sin.f64 (.f64 x (PI.f64))))) (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
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(if (!=.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) 0) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) (sin.f64 (.f64 x (PI.f64))))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) x))) 0) (/.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau) (sin.f64 (.f64 (PI.f64) x)))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) 0) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (cbrt.f64 (sin.f64 (.f64 x (PI.f64))))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 tau (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 2)) 0) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) x)))) (pow.f64 (.f64 (PI.f64) x) 2)) (/.f64 tau (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) x)) 2)))) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)))
(if (!=.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 0) (/.f64 1 (pow.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) -1)) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)) 0) (pow.f64 (/.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))) -1) (/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) (.f64 1/2 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 1/2) (.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 1/2))
(/.f64 (.f64 (sin.f64 (.f64 (PI.f64) x)) (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (pow.f64 (.f64 (PI.f64) x) 2) tau))

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (PI.f64) tau))
✓	0.3b	(*.f64 (PI.f64) tau)
✓	0.4b	(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
✓	0.5b	(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)

Compiler

Compiled 56 to 28 computations (50% saved)

series52.0ms (0%)

Counts

4 → 52

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
0.0ms	tau	@	-inf	(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
0.0ms	x	@	0	(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
0.0ms	tau	@	0	(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
0.0ms	x	@	0	(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)

Compiler

Compiled 3995 to 2525 computations (36.8% saved)

rewrite1.6s (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

49×	`egg-rr`
40×	`egg-rr`
37×	`egg-rr`
34×	`egg-rr`

Counts

4 → 160

Calls

Call 1

Inputs
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1/6)
(*.f64 (PI.f64) tau)
(.f64 x (.f64 (PI.f64) tau))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 x (.f64 (PI.f64) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (.f64 (PI.f64) tau))) (.f64 (PI.f64) tau))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 (PI.f64) tau))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 x (PI.f64))) tau)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 tau x) 2) (.f64 (PI.f64) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (.f64 tau x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 tau (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 tau (.f64 x (.f64 (PI.f64) tau))) (.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2)) (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 tau)) 2) (pow.f64 (cbrt.f64 (pow.f64 tau 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 x (cbrt.f64 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(.f64 x (.f64 (PI.f64) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (*.f64 (PI.f64) tau)) 1/2))))))

simplify3.8s (2.8%)

Algorithm

1×

egglog

Counts

212 → 190

Calls

Call 1

Inputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 x (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2))
(.f64 x (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))))
(.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau))))
(.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))))
(.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau))))
(.f64 (.f64 x (.f64 x (.f64 (PI.f64) tau))) (*.f64 (PI.f64) tau))
(.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x)
(.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))
(.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (*.f64 x (PI.f64))) tau)
(.f64 (pow.f64 (.f64 tau x) 2) (*.f64 (PI.f64) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) x) 2))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 tau x) 2))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))))
(.f64 tau (.f64 (.f64 x (.f64 (PI.f64) tau)) (*.f64 x (PI.f64))))
(.f64 (.f64 tau (.f64 x (.f64 (PI.f64) tau))) (*.f64 x (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2)) (cbrt.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2))
(.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) 2) (pow.f64 (cbrt.f64 (pow.f64 tau 2)) 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 (.f64 (PI.f64) tau))) 2) (pow.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) 2))
(.f64 (pow.f64 tau 2) (pow.f64 (.f64 x (PI.f64)) 2))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) tau) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2))
(.f64 2 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2))
(.f64 2 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))
(.f64 1 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 1)
(/.f64 (.f64 2 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)) 2)
(/.f64 (.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 2) 2)
(/.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 3) 1/3)
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 3))
(neg.f64 (.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1))
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(.f64 (pow.f64 (.f64 (cbrt.f64 -1/6) (.f64 x (.f64 (PI.f64) tau))) 2) (cbrt.f64 -1/6))
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(.f64 (cbrt.f64 1/36) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) (cbrt.f64 -1/6)))
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(.f64 2 (.f64 (.f64 -1/6 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)) 1/2))
(.f64 1 (.f64 -1/6 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))
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(pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 3) -1/216) 1/3)
(pow.f64 (.f64 -1/6 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))) 3)
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(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) 3) (pow.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2))))) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (-.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (-.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))))))) (.f64 x (.f64 (PI.f64) tau)))
(+.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))))
(+.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2))

Outputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2) -1/6)
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 x (PI.f64)))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 tau (.f64 (PI.f64) x))
(.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 x (*.f64 (PI.f64) tau)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 x (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 x (.f64 x (.f64 (PI.f64) tau))) (*.f64 (PI.f64) tau))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) (*.f64 x (PI.f64))) tau)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (.f64 tau x) 2) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) x) 2))
(.f64 (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 tau (PI.f64)) 2)) x) 2))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 tau x) 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 (.f64 x (.f64 (PI.f64) tau)) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau)))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 x (.f64 (PI.f64) tau))) (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 tau (.f64 (.f64 x (.f64 (PI.f64) tau)) (*.f64 x (PI.f64))))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (.f64 tau (.f64 x (.f64 (PI.f64) tau))) (*.f64 x (PI.f64)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 2)) (cbrt.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) tau) 2))
(.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) 2) (pow.f64 (cbrt.f64 (pow.f64 tau 2)) 2))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) x) (cbrt.f64 tau)) 2) (pow.f64 (cbrt.f64 (pow.f64 tau 2)) 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 (.f64 (PI.f64) tau))) 2) (pow.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)) 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 tau 2) (pow.f64 (.f64 x (PI.f64)) 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) tau) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) (*.f64 tau (cbrt.f64 x))) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2))
(.f64 2 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 2 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 1 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 1)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(/.f64 (.f64 2 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2)) 2)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(/.f64 (.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) 2) 2)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(/.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(pow.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 3) 1/3)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) 3)
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 3))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(neg.f64 (.f64 (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2) -1))
(pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)
(if (!=.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) 3) (pow.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) 3)) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2)) (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2))))) (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))
(if (!=.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) 0) (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 3) (+.f64 1/8 1/8)) (pow.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) 2)) (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2))
(if (!=.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) 3) (pow.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) 3)) (+.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) (-.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) (.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))))) (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))
(if (!=.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) 0) (/.f64 (.f64 (pow.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 3) (+.f64 1/8 1/8)) (pow.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) 2)) (pow.f64 (.f64 tau (*.f64 (PI.f64) x)) 2))
(if (!=.f64 (-.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2)) (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2))) (-.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2))) (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))
(if (!=.f64 0 0) 0 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2))
(if (!=.f64 (-.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))) (.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))) (-.f64 (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)) (.f64 1/2 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2)))) (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2))
(if (!=.f64 0 0) 0 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2))
(if (!=.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) 0) (.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (+.f64 1 (/.f64 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2) (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) 1/2)))) (pow.f64 (.f64 x (*.f64 (PI.f64) tau)) 2))
(if (!=.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) 0) (.f64 (.f64 1/2 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) (/.f64 (.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 2) (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2))) (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2))
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(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) 3) (pow.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (-.f64 (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2)) (.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2))))) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 2) 0) (/.f64 (.f64 2 (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 3)) (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 2)) (.f64 tau (*.f64 (PI.f64) x)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (-.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) 3) (pow.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (-.f64 (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))))))) (.f64 x (.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 2) 0) (/.f64 (.f64 2 (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 3)) (pow.f64 (/.f64 (.f64 tau (.f64 (PI.f64) x)) 2) 2)) (.f64 tau (*.f64 (PI.f64) x)))
(+.f64 (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))) (.f64 1/2 (.f64 x (.f64 (PI.f64) tau))))
(.f64 tau (.f64 (PI.f64) x))
(+.f64 (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2) (.f64 (.f64 x (.f64 (PI.f64) tau)) 1/2))
(.f64 tau (.f64 (PI.f64) x))

localize80.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
✓	0.4b	(.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (*.f64 (PI.f64) tau)))
	0.7b	(pow.f64 (*.f64 (PI.f64) tau) 3)
✓	8.3b	(-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))))

Compiler

Compiled 136 to 78 computations (42.6% saved)

series80.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
1.0ms	x	@	0	(-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))))
1.0ms	tau	@	-inf	(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
1.0ms	x	@	-inf	(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
1.0ms	x	@	inf	(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))

Compiler

Compiled 5175 to 3560 computations (31.2% saved)

rewrite1.7s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

158×	`egg-rr`
81×	`egg-rr`
19×	`egg-rr`

Counts

3 → 258

Calls

Call 1

Inputs

(-.f64 3 (-.f64 3 (*.f64 x (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))))

(*.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (*.f64 x (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))) (*.f64 (PI.f64) tau)))

(*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) 2) (*.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 tau 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (PI.f64) 3)) (pow.f64 tau 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) tau) (*.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (*.f64 (*.f64 (PI.f64) tau) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 (PI.f64) tau)) (pow.f64 (*.f64 (PI.f64) tau) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 2)) (*.f64 (PI.f64) tau))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 3))))))

simplify7.4s (5.6%)

Algorithm

1×

egglog

Counts

290 → 306

Calls

Call 1

Inputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
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(/.f64 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (neg.f64 (PI.f64)))) (neg.f64 tau))
(/.f64 (.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) -1) (.f64 tau (neg.f64 (PI.f64))))
(/.f64 (.f64 (cbrt.f64 (/.f64 -1/216 (.f64 (PI.f64) tau))) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2)))
(/.f64 (.f64 (/.f64 -1/6 (PI.f64)) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) tau)
(/.f64 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (PI.f64))
(/.f64 (.f64 (/.f64 -1/6 tau) (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (PI.f64) tau) 3))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 -1/6 tau) (+.f64 27 (pow.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) 3))) (.f64 (PI.f64) (+.f64 9 (.f64 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (-.f64 6 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))))))))
(/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 (.f64 (PI.f64) tau) -1/6))
(/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)) (/.f64 tau -1/6))
(/.f64 (neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (cbrt.f64 (.f64 (PI.f64) tau)))) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) tau)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (PI.f64))) (neg.f64 tau))
(/.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 (*.f64 tau (neg.f64 (PI.f64))) -1/6))
(pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 1)
(pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) (cbrt.f64 (/.f64 -1/6 (.f64 (PI.f64) tau)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 3) 1/3)
(cbrt.f64 (pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 3))
(neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (*.f64 tau (neg.f64 (PI.f64)))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (neg.f64 -1/6)) (*.f64 (PI.f64) tau)))
(neg.f64 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 tau (neg.f64 (PI.f64))))))
(neg.f64 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 tau (neg.f64 (PI.f64)))) -1/6))
(neg.f64 (.f64 (.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (neg.f64 -1/6)) (/.f64 (pow.f64 tau -1) (PI.f64))))
(neg.f64 (.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(if (!=.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 0) (/.f64 -1/6 (/.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(+.f64 (.f64 (/.f64 (/.f64 3 tau) (PI.f64)) -1/6) (.f64 (/.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) (*.f64 (PI.f64) tau)) -1/6))
(+.f64 (.f64 -1/6 (/.f64 (/.f64 3 tau) (PI.f64))) (.f64 -1/6 (/.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) (*.f64 (PI.f64) tau))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) x)
(.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2) (.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 tau 3) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (.f64 x (pow.f64 (PI.f64) 3)) (pow.f64 tau 3))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 1 (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 1)
(.f64 (.f64 (PI.f64) tau) (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) x))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (.f64 (.f64 (PI.f64) tau) x))
(.f64 (.f64 x (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 2))
(.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 2)) (.f64 (PI.f64) tau))
(/.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 1)
(pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 1)
(pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 3)
(pow.f64 (pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 3) 1/3)
(cbrt.f64 (pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 3))

Outputs
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 (pow.f64 x 2) (PI.f64)))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 (pow.f64 x 2) (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 tau 2) (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (.f64 tau (.f64 x (PI.f64)))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 x (PI.f64))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 x (PI.f64))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 x (PI.f64))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 3) (*.f64 x (PI.f64))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) x)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 2) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) (.f64 (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2) x))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (pow.f64 (PI.f64) 3)) (pow.f64 tau 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (pow.f64 (.f64 (PI.f64) tau) 2)) (.f64 (PI.f64) tau))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 x (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau))) (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 1 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (-.f64 (pow.f64 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) 3) 27) (/.f64 1 (neg.f64 (+.f64 9 (.f64 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (-.f64 6 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))))))))
(/.f64 (-.f64 -27 (pow.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) 3)) (-.f64 (.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) (-.f64 6 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (pow.f64 x 2)))) 9))
(.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) 1/3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (neg.f64 (pow.f64 x 2))) (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 tau (neg.f64 (PI.f64)))) (neg.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (neg.f64 x) (pow.f64 (*.f64 (PI.f64) tau) 3)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 tau (neg.f64 (PI.f64))) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (neg.f64 x) (pow.f64 (*.f64 (PI.f64) tau) 3))) x)
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 -1) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (neg.f64 x)) (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)))) (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 tau (neg.f64 (PI.f64))))) (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) (neg.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) 2))))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (neg.f64 (pow.f64 (.f64 tau (neg.f64 (PI.f64))) 3)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
(.f64 (.f64 (neg.f64 x) (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau))) (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2)))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2))
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(/.f64 (.f64 (.f64 -1/6 x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 3)))
(/.f64 (neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) tau)) (neg.f64 (PI.f64)))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(/.f64 (neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (PI.f64))) (neg.f64 tau))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(/.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 (*.f64 tau (neg.f64 (PI.f64))) -1/6))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 1)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) (cbrt.f64 (/.f64 -1/6 (.f64 (PI.f64) tau)))) 3)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(pow.f64 (pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 3) 1/3)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (*.f64 (PI.f64) tau))) 3))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (/.f64 (.f64 -1/6 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (*.f64 tau (neg.f64 (PI.f64)))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (/.f64 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (neg.f64 -1/6)) (*.f64 (PI.f64) tau)))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (.f64 -1/6 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 tau (neg.f64 (PI.f64))))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (neg.f64 (PI.f64)))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (*.f64 tau (neg.f64 (PI.f64)))) -1/6))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (.f64 (.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (neg.f64 -1/6)) (/.f64 (pow.f64 tau -1) (PI.f64))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(neg.f64 (.f64 (.f64 (neg.f64 (pow.f64 x 2)) (pow.f64 (.f64 (PI.f64) tau) 3)) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(if (!=.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 0) (/.f64 -1/6 (/.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(if (!=.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (pow.f64 x 2)) 0) (/.f64 -1/6 (/.f64 (/.f64 (.f64 (PI.f64) tau) x) (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)))) (.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (*.f64 (PI.f64) tau)))))
(+.f64 (.f64 (/.f64 (/.f64 3 tau) (PI.f64)) -1/6) (.f64 (/.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) (*.f64 (PI.f64) tau)) -1/6))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(+.f64 (.f64 -1/6 (/.f64 (/.f64 3 tau) (PI.f64))) (.f64 -1/6 (/.f64 (fma.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) x -3) (*.f64 (PI.f64) tau))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (/.f64 -1/6 (.f64 (PI.f64) tau))))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 3) x)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) (pow.f64 (.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)) 2))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 2) (.f64 (cbrt.f64 x) (*.f64 (PI.f64) tau)))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 tau 3) x))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 x (pow.f64 (PI.f64) 3)) (pow.f64 tau 3))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 1 (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)) 1)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 (PI.f64) tau) (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) x))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (.f64 (.f64 (PI.f64) tau) x))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 x (.f64 (PI.f64) tau)) (pow.f64 (.f64 (PI.f64) tau) 2))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 2)) (.f64 (PI.f64) tau))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(/.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 1)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 1)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(pow.f64 (.f64 (cbrt.f64 x) (.f64 (PI.f64) tau)) 3)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(pow.f64 (pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 3) 1/3)
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))
(cbrt.f64 (pow.f64 (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3)) 3))
(.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f64 (*.f64 x (PI.f64)))
✓	0.4b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(pow.f64 (*.f64 x (PI.f64)) 2)

Compiler

Compiled 76 to 18 computations (76.3% saved)

series23.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
0.0ms	tau	@	0	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
0.0ms	x	@	-inf	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
0.0ms	x	@	inf	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
0.0ms	tau	@	-inf	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)

Compiler

Compiled 4185 to 2240 computations (46.5% saved)

rewrite1.8s (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

135× egg-rr

Counts

1 → 135

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)

Outputs

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simplify3.8s (2.9%)

Algorithm

1×

egglog

Counts

159 → 190

Calls

Call 1

Inputs
1
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Outputs
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(+.f64 (/.f64 (cos.f64 (.f64 x (-.f64 (.f64 (PI.f64) tau) (PI.f64)))) (.f64 2 (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))) (neg.f64 (/.f64 (cos.f64 (.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (.f64 2 (.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 x (-.f64 (.f64 (PI.f64) tau) (PI.f64)))) 1/2) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2))) (neg.f64 (/.f64 (.f64 (cos.f64 (.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) 1/2) (.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)))))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))
(+.f64 (/.f64 0 (neg.f64 tau)) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))
(+.f64 (/.f64 0 (.f64 (neg.f64 tau) (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))
(+.f64 0 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (.f64 (sin.f64 (.f64 tau (.f64 x (PI.f64)))) (sin.f64 (.f64 x (PI.f64)))) (.f64 tau (pow.f64 (.f64 x (PI.f64)) 2)))

localize39.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau))
	0.5b	(sin.f64 (.f64 (.f64 x (PI.f64)) tau))
✓	0.5b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) 27) 27) (*.f64 x (PI.f64)))
	3.7b	(-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))))

Compiler

Compiled 114 to 42 computations (63.2% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) 27) 27) (*.f64 x (PI.f64)))

0.0ms

inf

(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) 27) 27) (*.f64 x (PI.f64)))

0.0ms

-inf

(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) 27) 27) (*.f64 x (PI.f64)))

Compiler

Compiled 715 to 340 computations (52.4% saved)

rewrite1.7s (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

149× egg-rr

Counts

1 → 149

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) 27) 27) (*.f64 x (PI.f64)))

Outputs

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simplify4.0s (3%)

Algorithm

1×

egglog

Counts

161 → 197

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))))
(+.f64 1 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (PI.f64))) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)))))
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(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) x) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (PI.f64)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27) (cbrt.f64 (.f64 x (PI.f64)))) (/.f64 1/27 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))))
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(.f64 (.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) 27) (/.f64 1/27 x))
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(.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) x))
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(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))))
(.f64 (.f64 27 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (/.f64 1/27 (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2) (pow.f64 (.f64 x (PI.f64)) 2))) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) x) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)))
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64))))
(.f64 (/.f64 1/27 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2))) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27) (cbrt.f64 (.f64 x (PI.f64)))))
(.f64 (/.f64 1/27 x) (.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) 27))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2)) (PI.f64)) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) x))
(.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 2)))
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(.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27)) (.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (sqrt.f64 27))) 2))
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(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) (*.f64 27 x)) 27)
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 27 (.f64 x (PI.f64)))) 27)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 27) 27)
(.f64 (/.f64 (.f64 27 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) 729) 27)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (*.f64 27 (PI.f64))) 27)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 19683) 19683)
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(/.f64 (.f64 -27 (sin.f64 (.f64 x (PI.f64)))) (/.f64 (*.f64 (PI.f64) (neg.f64 x)) 1/27))
(/.f64 (.f64 -27 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27)) (.f64 (.f64 x (PI.f64)) -729))
(/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 x)) (.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 x)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (.f64 x (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (.f64 -27 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27)) (.f64 -27 (.f64 27 (*.f64 x (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (neg.f64 x))
(/.f64 (.f64 -27 (/.f64 (sin.f64 (.f64 x (PI.f64))) x)) (*.f64 -27 (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (PI.f64))
(/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 -27 (sin.f64 (.f64 x (PI.f64))))) (.f64 -27 x))
(/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (sqrt.f64 1/27)) (.f64 (sqrt.f64 27) (*.f64 x (PI.f64))))
(/.f64 (.f64 -27 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) -27)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) -27) -27)
(/.f64 (.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27)) (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27) 2))) 27)
(/.f64 (.f64 (/.f64 27 (.f64 x (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) 27)
(/.f64 (.f64 27 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 27)
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))) 19683) 19683)
(/.f64 (.f64 (/.f64 (pow.f64 x -1) (PI.f64)) (.f64 -27 (/.f64 (sin.f64 (*.f64 x (PI.f64))) 1/27))) -729)
(/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27) (.f64 27 (*.f64 x (PI.f64))))
(/.f64 (.f64 27 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27)) (.f64 27 (.f64 27 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 x (PI.f64))) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) x)
(/.f64 (neg.f64 (sin.f64 (.f64 x (PI.f64)))) (.f64 (PI.f64) (neg.f64 x)))
(/.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (PI.f64))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (sin.f64 (.f64 x (PI.f64)))) x)
(/.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) 1/27) (cbrt.f64 (.f64 x (PI.f64)))) 1/27) (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)))
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Outputs
1
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(if (!=.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) x) (neg.f64 (PI.f64))) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (*.f64 (PI.f64) x)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 0 (.f64 (PI.f64) (neg.f64 x)))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 0 (.f64 (PI.f64) (neg.f64 x)))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(if (!=.f64 (+.f64 (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 0 (.f64 -27 (.f64 x (PI.f64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) 3) (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 0 (.f64 -27 (.f64 x (PI.f64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(if (!=.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2) 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(if (!=.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) 3) (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 0 (.f64 (PI.f64) (neg.f64 x)))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(if (!=.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) 3) (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))) 3)) (+.f64 (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 0 (.f64 -27 (.f64 x (PI.f64))))) (+.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2) (.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x))))))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 3) (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)) 2)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x)))
(+.f64 (/.f64 0 (.f64 (PI.f64) (neg.f64 x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x))
(+.f64 (/.f64 0 (.f64 -27 (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x))
(+.f64 1 (-.f64 -1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (PI.f64) (neg.f64 x)))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x))
(+.f64 0 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (PI.f64) x))

eval1.9s (1.4%)

Compiler: Compiled 84209 to 35295 computations (58.1% saved)

prune1.6s (1.2%)

Pruning

124 alts after pruning (118 fresh and 6 done)

	Pruned	Kept	Total
New	2049	32	2081
Fresh	20	86	106
Picked	0	1	1
Done	5	5	10
Total	2074	124	2198

Error

0.1b

Counts

2198 → 124

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) 3)
	10.0b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (cbrt.f64 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 4))
	9.9b	(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) -2)
	1.9b	(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 tau))
	1.1b	(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (PI.f64)) tau) (.f64 x (.f64 x (PI.f64))))
	5.8b	(/.f64 (/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	4.4b	(/.f64 (/.f64 (.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	6.7b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64)))))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	1.9b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 tau)) 2)) (cbrt.f64 tau))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (PI.f64) tau)) (.f64 x (*.f64 x (PI.f64))))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 x (.f64 x (PI.f64)))) (*.f64 (PI.f64) tau))
	2.0b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 x 4))) (.f64 tau (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2)))
	1.1b	(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
	8.9b	(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
	1.9b	(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))) (.f64 x (PI.f64)))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))
	1.1b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 (neg.f64 tau) (PI.f64)) x))) (neg.f64 tau))
	1.0b	(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	6.6b	(/.f64 (.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 x (PI.f64))))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	37.8b	(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.1b	(/.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) (.f64 (.f64 (.f64 (.f64 (PI.f64) x) (PI.f64)) tau) x))
	1.0b	(/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (.f64 x (PI.f64)))) (.f64 x (PI.f64)))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
	1.9b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 3) tau))
✓	1.0b	(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
	9.0b	(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 2))
	10.7b	(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
	1.2b	(-.f64 1 (+.f64 1 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (neg.f64 tau) (pow.f64 (.f64 x (PI.f64)) 2)))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64))) 3) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	1.6b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))) 3) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) 27) 27) (.f64 x (PI.f64))))
	37.8b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
	38.6b	(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	37.8b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
	1.1b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
	1.0b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) (.f64 x tau)) (PI.f64)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	1.0b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) tau) (sin.f64 (*.f64 x (PI.f64))))
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
	37.8b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
	1.0b	(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)))
	5.1b	(.f64 (/.f64 (-.f64 (/.f64 tau tau) (.f64 x (.f64 (PI.f64) (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (PI.f64) x))))) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
	5.2b	(.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (.f64 x (PI.f64))) tau) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 x (PI.f64))))) (pow.f64 tau 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	5.8b	(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
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	41.1b	(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
✓	41.1b	(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
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	37.8b	(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
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✓	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
	1.6b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
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	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 1 (/.f64 (-.f64 x (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64))) x)))
	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
	1.2b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) tau)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) x))
✓	1.0b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
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	37.8b	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
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	1.1b	(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
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	38.6b	(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x)) 2) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
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	38.6b	(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
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	38.6b	(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
	38.6b	(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
	38.6b	(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
	37.8b	(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
	1.1b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (.f64 (PI.f64) tau))) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
	37.8b	(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
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	40.8b	(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
	41.1b	1

Compiler

Compiled 2965 to 1869 computations (37% saved)

regimes715.0ms (0.5%)

Counts

192 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
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(.f64 (/.f64 (-.f64 1 (-.f64 1 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))))) (.f64 (.f64 x (PI.f64)) tau)) (-.f64 3 (+.f64 3 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)) tau))
(.f64 (-.f64 (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 1) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (-.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (-.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) -1) (.f64 (.f64 x (PI.f64)) (neg.f64 tau)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) 3))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) 3) tau))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))) 3)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (.f64 (.f64 x (PI.f64)) (cbrt.f64 tau)) 2)) (cbrt.f64 tau))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))) 3) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) tau) (PI.f64))) 3) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 x (PI.f64)))) 3) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 x (.f64 x (PI.f64))) (PI.f64)) tau))
(/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) 2)
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) -2)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64)))) 3))
(.f64 (/.f64 (-.f64 1 (-.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau))) 3) (/.f64 (/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) 27) 27) (.f64 x (PI.f64))))
(.f64 (+.f64 (/.f64 (pow.f64 x -1) (.f64 tau (PI.f64))) (/.f64 (-.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) 1) (.f64 tau (.f64 (PI.f64) x)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 (PI.f64) x)) (.f64 (.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 1 (.f64 x (PI.f64))) tau) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (.f64 x (PI.f64))))) (pow.f64 tau 2)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (-.f64 (/.f64 tau tau) (.f64 x (.f64 (PI.f64) (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (.f64 (PI.f64) x))))) (.f64 tau (.f64 (PI.f64) x))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 x 4))) (.f64 tau (pow.f64 (.f64 (PI.f64) (cbrt.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 tau))
(.f64 (/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) x) tau)) x) (.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (cbrt.f64 x)) (PI.f64)) (cbrt.f64 (pow.f64 x 2))))
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (.f64 (/.f64 (pow.f64 x -1) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (sqrt.f64 1/27))) (sqrt.f64 27)))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (PI.f64)) 2)) tau))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (pow.f64 x 2)) 2)) tau))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 2)) (.f64 x (PI.f64))) (cbrt.f64 (.f64 x (PI.f64)))) tau))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (cbrt.f64 2)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (cbrt.f64 4))
(+.f64 (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (neg.f64 (.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2))) (.f64 (/.f64 -1 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (.f64 (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))) 1/2)))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) tau) (cbrt.f64 (/.f64 (pow.f64 x -1) (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 (PI.f64) x) 2))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (.f64 (PI.f64) tau))) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2))) (-.f64 1 (-.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x -1) (.f64 (PI.f64) tau))) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2))) (-.f64 1 (+.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (neg.f64 (PI.f64)))))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) 2)) (cbrt.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))))
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (.f64 x (PI.f64)) tau)) (if (!=.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3) 0) (.f64 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3) (+.f64 1 (/.f64 3 (+.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))) -3)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) 2)) (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(.f64 (/.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)) (.f64 (PI.f64) x)) (.f64 tau (/.f64 (-.f64 1 (sin.f64 (.f64 tau (.f64 (PI.f64) x)))) (cbrt.f64 (.f64 tau (.f64 (PI.f64) x)))))) (.f64 tau (cbrt.f64 (pow.f64 (.f64 tau (.f64 (PI.f64) x)) 2)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 x (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 tau (PI.f64))))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 tau (PI.f64)))))) (pow.f64 (.f64 (sin.f64 (.f64 tau (.f64 (PI.f64) x))) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
(/.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau))))) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (sin.f64 (.f64 (PI.f64) x))) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau)) (cbrt.f64 2))
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (+.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
(-.f64 (/.f64 (-.f64 (.f64 (cos.f64 (.f64 (.f64 x (PI.f64)) tau)) (cos.f64 (.f64 x (PI.f64)))) (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau))))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)) (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau) -2)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (cos.f64 (.f64 x (-.f64 (PI.f64) (.f64 (PI.f64) tau)))) (cos.f64 (.f64 x (+.f64 (PI.f64) (.f64 (PI.f64) tau)))))) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) 2)) (.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 2))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))

Calls

4 calls:

169.0ms	(*.f64 x (PI.f64))
155.0ms	(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
115.0ms	x
93.0ms	tau

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`tau`
0.9b	1	`(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))`
0.9b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 4474 to 1521 computations (66% saved)

regimes153.0ms (0.1%)

Counts

88 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)))
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) tau) (sin.f64 (*.f64 x (PI.f64))))
(/.f64 (.f64 (sin.f64 (.f64 x (PI.f64))) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) tau) (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(/.f64 (/.f64 (.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (sin.f64 (.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (PI.f64)) x))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (.f64 x (PI.f64)))) (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 (PI.f64) tau)))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))

Calls

3 calls:

43.0ms	(*.f64 x (PI.f64))
38.0ms	tau
37.0ms	x

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`tau`
1.0b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1550 to 678 computations (56.3% saved)

regimes124.0ms (0.1%)

Counts

76 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 x (PI.f64))))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))

Calls

3 calls:

34.0ms	x
33.0ms	tau
32.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`tau`
1.0b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1316 to 629 computations (52.2% saved)

regimes119.0ms (0.1%)

Counts

74 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (pow.f64 (.f64 x (PI.f64)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))

Calls

3 calls:

33.0ms	tau
31.0ms	x
31.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`tau`
1.0b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1278 to 620 computations (51.5% saved)

regimes117.0ms (0.1%)

Counts

73 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
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(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
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(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
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(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
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(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
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(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
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(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
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(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
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(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))

Outputs
(.f64 (/.f64 (sin.f64 (.f64 x (PI.f64))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau)) (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))

Calls

3 calls:

32.0ms	(*.f64 x (PI.f64))
31.0ms	tau
30.0ms	x

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`tau`
1.1b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1259 to 615 computations (51.2% saved)

regimes115.0ms (0.1%)

Counts

72 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (pow.f64 (pow.f64 (.f64 (*.f64 x (PI.f64)) tau) 3) 1/3)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 1/3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(/.f64 (.f64 (.f64 (PI.f64) x) (sin.f64 (.f64 x (.f64 (PI.f64) tau)))) (.f64 (pow.f64 (.f64 x (PI.f64)) 2) tau))
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (PI.f64) tau)) (cbrt.f64 x)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (PI.f64) tau)) 3) (*.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 (.f64 (.f64 (PI.f64) tau) (cbrt.f64 (/.f64 (pow.f64 x 2) (*.f64 (PI.f64) tau)))) 3))) 1)
(.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (.f64 (.f64 x tau) (PI.f64)) 3) (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 3) (.f64 x x)) (cbrt.f64 1/36)) (*.f64 (PI.f64) tau)) (cbrt.f64 -1/6))) 1)
(.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 tau 3) (pow.f64 (.f64 (PI.f64) x) 3))) (.f64 tau (.f64 (PI.f64) x))) (.f64 (.f64 x (PI.f64)) tau)) 1)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3) tau)) 1)

Calls

3 calls:

31.0ms	tau
30.0ms	(*.f64 x (PI.f64))
30.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1240 to 610 computations (50.8% saved)

regimes98.0ms (0.1%)

Counts

62 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x (PI.f64)) tau)) 3)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau))) 3) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau))) 3) 1)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (PI.f64))) 3) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)

Calls

3 calls:

27.0ms	tau
26.0ms	x
26.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 1039 to 508 computations (51.1% saved)

regimes91.0ms (0.1%)

Counts

58 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3)) tau)) 1)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x (PI.f64)) 3)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)

Calls

3 calls:

25.0ms	tau
24.0ms	x
24.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 971 to 482 computations (50.4% saved)

regimes90.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)

Outputs
(.f64 (/.f64 (sin.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 3))) (.f64 (*.f64 x (PI.f64)) tau)) 1)

Calls

3 calls:

24.0ms	(*.f64 x (PI.f64))
24.0ms	x
24.0ms	tau

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 937 to 467 computations (50.2% saved)

regimes86.0ms (0.1%)

Counts

55 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 3 (.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 1/3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 3 (-.f64 3 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))))) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 9) 9) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) 27) 27) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 1 (+.f64 1 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (-.f64 3 (+.f64 3 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) (.f64 (neg.f64 (PI.f64)) tau)))))) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 (PI.f64) tau) 3))) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (PI.f64) tau)) 3)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 (PI.f64) tau))) 3) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 tau 2) (pow.f64 x 2))))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (.f64 (/.f64 (pow.f64 (.f64 (PI.f64) tau) 3) tau) (/.f64 (pow.f64 x 2) (PI.f64))))) 1)

Outputs
(.f64 (-.f64 3 (+.f64 3 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)

Calls

3 calls:

24.0ms	tau
23.0ms	(*.f64 x (PI.f64))
22.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 920 to 460 computations (50% saved)

regimes66.0ms (0%)

Counts

43 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau) (.f64 x (PI.f64))) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (.f64 (PI.f64) tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (PI.f64)) (.f64 x tau)) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) tau) 1)
(.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (PI.f64) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) tau) (PI.f64)) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) tau) x) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 x (PI.f64)) 2) (pow.f64 tau 2)) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (PI.f64) tau) 2) (pow.f64 x 2)) -1/6)) 1)
(.f64 (.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (/.f64 1 (*.f64 (PI.f64) tau))) 1)
(.f64 (/.f64 (.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) tau)) x) 1)
(.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (neg.f64 tau)) 1)
(.f64 (.f64 (/.f64 -1 (.f64 (.f64 x (PI.f64)) tau)) (neg.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) 1)
(.f64 (.f64 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) x) (neg.f64 (PI.f64))) (/.f64 -1 tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (/.f64 (.f64 x (PI.f64)) 3) 3) tau)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) (.f64 (.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 1 (-.f64 1 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (-.f64 3 (-.f64 3 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (PI.f64) tau) 3)) (.f64 (PI.f64) tau)))) 1)
(.f64 (+.f64 1 (.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 (PI.f64) x) 3) (.f64 tau tau)) (.f64 (PI.f64) x)))) 1)
(.f64 (+.f64 1 (.f64 (/.f64 -1/6 tau) (/.f64 (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3))) (PI.f64)))) 1)
(.f64 (+.f64 1 (/.f64 (.f64 (/.f64 -1/6 tau) (.f64 x (.f64 x (pow.f64 (*.f64 (PI.f64) tau) 3)))) (PI.f64))) 1)
(.f64 (+.f64 1 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (pow.f64 (.f64 (PI.f64) tau) 3))) tau) -6) (PI.f64))) 1)
(.f64 (-.f64 1 (+.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 x (PI.f64))) (neg.f64 tau)))) 1)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 (PI.f64) tau) x)) (.f64 (*.f64 x (PI.f64)) tau)) 1)

Calls

3 calls:

20.0ms	tau
17.0ms	x
17.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 677 to 301 computations (55.5% saved)

regimes27.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x tau) (PI.f64))) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x (PI.f64)) tau)) (.f64 (*.f64 (PI.f64) tau) x)) 1)

Outputs
(.f64 (/.f64 (sin.f64 (.f64 (.f64 x tau) (PI.f64))) (.f64 (*.f64 x tau) (PI.f64))) 1)

Calls

3 calls:

8.0ms	tau
7.0ms	x
7.0ms	(*.f64 x (PI.f64))

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`tau`
37.8b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 231 to 107 computations (53.7% saved)

regimes21.0ms (0%)

Accuracy

Total -3.0b remaining (-7.7%)

Threshold costs -3.0b (-7.7%)

Counts

11 → 1

Calls

Call 1

Inputs
1
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 tau x) (PI.f64)) 2) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (.f64 x (PI.f64)) tau) 2) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (*.f64 x (PI.f64)) tau)) 1)
(.f64 (+.f64 1 (.f64 (.f64 x (.f64 (PI.f64) tau)) (.f64 -1/6 (.f64 x (*.f64 (PI.f64) tau))))) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 x (PI.f64)) (.f64 tau (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (.f64 x (*.f64 (PI.f64) tau)))) -1/6)) 1)
(.f64 (+.f64 1 (.f64 (.f64 (.f64 (.f64 (PI.f64) tau) (.f64 x (*.f64 (PI.f64) tau))) x) -1/6)) 1)
(.f64 (/.f64 (.f64 (.f64 x tau) (PI.f64)) (.f64 (/.f64 (.f64 (.f64 x (PI.f64)) tau) 3) 3)) 1)
(.f64 1 (/.f64 (sin.f64 (.f64 x (PI.f64))) (*.f64 x (PI.f64))))

Outputs
(.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (.f64 (PI.f64) tau)) 2) -1/6)) 1)

Calls

3 calls:

6.0ms	tau
6.0ms	(*.f64 x (PI.f64))
6.0ms	x

Results

Error	Segments	Branch
38.6b	1	`x`
38.6b	1	`tau`
38.6b	1	`(*.f64 x (PI.f64))`

Compiler

Compiled 161 to 89 computations (44.7% saved)

simplify6.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 255 to 162 computations (36.5% saved)

soundness0.0ms (0%)

end86.0ms (0.1%)

Compiler: Compiled 229 to 91 computations (60.3% saved)