Details

Time bar (total: 40.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample2.5s (6.2%)

Results
2.5s8256×body256valid
Bogosity

preprocess143.0ms (0.4%)

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

Compiled 25 to 12 computations (52% saved)

simplify64.0ms (0.2%)

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

eval1.0ms (0%)

Compiler

Compiled 42 to 15 computations (64.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.5b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(/.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))
▶0.7b
(*.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 22 computations (50% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.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))))
✓0.4b
(sin.f64 (*.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
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
Compiler

Compiled 64 to 10 computations (84.4% saved)

series68.0ms (0.2%)

Counts
4 → 78
Calls

21 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.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))))
3.0ms
x
@0
(*.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))))
2.0ms
tau
@inf
(*.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))))
2.0ms
tau
@0
(*.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))))
1.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))
Compiler

Compiled 8105 to 3710 computations (54.2% saved)

rewrite262.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
276×egg-rr
120×egg-rr
110×egg-rr
28×egg-rr
Counts
4 → 534
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
(*.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
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(PI.f64)) 2)))) (cbrt.f64 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) 1) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.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 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau)) 1) (*.f64 (neg.f64 x) (PI.f64)))))) (#(struct:change 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(/.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))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau) (*.f64 (neg.f64 x) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.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) (neg.f64 tau))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.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)) 3))))))

simplify1.6s (4%)

Algorithm
1×egglog
Counts
612 → 787
Calls
Call 1
Inputs
(+.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 (PI.f64))))
(+.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 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (/.f64 1 (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 1 (*.f64 tau (PI.f64)))
(+.f64 (/.f64 1 (*.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 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (*.f64 tau (PI.f64)))) (+.f64 (/.f64 1 (*.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 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (*.f64 tau (PI.f64)))) (+.f64 (/.f64 1 (*.f64 tau (PI.f64))) (+.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)))
(/.f64 1 (*.f64 (PI.f64) x))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 2)) (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 x (PI.f64))))
(+.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 (*.f64 x (PI.f64)))))
(+.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 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (pow.f64 tau 6)) (*.f64 x (PI.f64)))) (/.f64 1 (*.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)))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) 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))) 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))) 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))))
(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)))
tau
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3))) tau)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))) tau))
(+.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 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))) tau)))
(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 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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))
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(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau) (*.f64 (neg.f64 x) (PI.f64))))
(neg.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) (neg.f64 tau))))
(cbrt.f64 (pow.f64 (/.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)) 3))
Outputs
(+.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 (PI.f64))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 x x)) (PI.f64)) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)) (/.f64 1 (PI.f64))))
(+.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 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64))) (/.f64 1 (PI.f64)))))
(fma.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)) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (PI.f64)) (/.f64 1 (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 1 (*.f64 tau (PI.f64)))
(+.f64 (/.f64 1 (*.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 (/.f64 1 (*.f64 tau (PI.f64))) (*.f64 -1/6 (/.f64 (*.f64 (*.f64 x x) (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 (/.f64 1 (*.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 1 (*.f64 tau (PI.f64))) (*.f64 -1/6 (/.f64 (*.f64 (*.f64 x x) (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 (/.f64 1 (*.f64 tau (PI.f64))) (+.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 1 (*.f64 tau (PI.f64))) (fma.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 (*.f64 x x) (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 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 1 (*.f64 (PI.f64) x))
(/.f64 (/.f64 1 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 (*.f64 x (PI.f64))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 3) (*.f64 tau tau)) (*.f64 (PI.f64) x)) (/.f64 (/.f64 1 x) (PI.f64)))
(+.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 (*.f64 x (PI.f64)))))
(fma.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (*.f64 (PI.f64) x)) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 3) (*.f64 tau tau)) (*.f64 (PI.f64) x)) (/.f64 (/.f64 1 x) (PI.f64))))
(+.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 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (pow.f64 tau 6)) (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 x (PI.f64))))))
(fma.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 5) (pow.f64 tau 4)) (*.f64 (PI.f64) x)) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 3) (*.f64 tau tau)) (*.f64 (PI.f64) x)) (fma.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6)) (*.f64 (PI.f64) x)) (/.f64 (/.f64 1 x) (PI.f64)))))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) x)
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) 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))) x))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (*.f64 tau (PI.f64)) 5)) 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))) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 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)) 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)))
tau
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3))) tau)
(fma.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3)) tau)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))) tau))
(fma.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3)) (fma.f64 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5)) tau))
(+.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 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5))) tau)))
(fma.f64 -1/5040 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 7)) (fma.f64 -1/6 (*.f64 (pow.f64 tau 3) (pow.f64 (*.f64 (PI.f64) x) 3)) (fma.f64 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 (PI.f64) x) 5)) tau)))
(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 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
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(/.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 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 x (cbrt.f64 (PI.f64)))) (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 (*.f64 (PI.f64) x) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) 2)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x)) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64))) (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 (/.f64 1 x) (*.f64 (PI.f64) tau))) (*.f64 (neg.f64 x) (PI.f64)))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2)))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (*.f64 (PI.f64) x)) 2)) (*.f64 (PI.f64) x))))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) 1) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) 1) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (*.f64 (PI.f64) x)) 2)) (*.f64 (PI.f64) x))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 1) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (neg.f64 tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(/.f64 (*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau)) 1) (*.f64 (neg.f64 x) (PI.f64)))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) x)) 1) (*.f64 (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) x) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) x))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 1) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (/.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)) 2))) (cbrt.f64 (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) 2) (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))))) (cbrt.f64 (*.f64 tau (pow.f64 (*.f64 (PI.f64) x) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau)) (cbrt.f64 (pow.f64 (/.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)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (PI.f64) x)) tau))) (cbrt.f64 (*.f64 (PI.f64) x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.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)) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (PI.f64) x)) (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2)) 2))) (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 2)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64)) 2) (sin.f64 (*.f64 (PI.f64) x)))) (/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x))) (cbrt.f64 (*.f64 (PI.f64) x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (cbrt.f64 (*.f64 (PI.f64) x))) (*.f64 (*.f64 (PI.f64) x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 2)) tau)))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 x (cbrt.f64 (PI.f64)))) (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 (*.f64 (PI.f64) x) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) 1) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (PI.f64) x)) (cbrt.f64 (pow.f64 (*.f64 tau (*.f64 (PI.f64) x)) 2))) (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau)) 1) (*.f64 (neg.f64 x) (PI.f64)))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (PI.f64) x)) tau) (cbrt.f64 (*.f64 (PI.f64) x))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) x)) (cbrt.f64 (*.f64 (PI.f64) x))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 (neg.f64 tau) (*.f64 (neg.f64 x) (PI.f64)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) x) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) x))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (cbrt.f64 tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 (*.f64 (PI.f64) x) (cbrt.f64 tau))) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (cbrt.f64 (*.f64 (PI.f64) x)))) (cbrt.f64 (pow.f64 (*.f64 tau (*.f64 (PI.f64) x)) 2)))
(pow.f64 (cbrt.f64 (/.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))) 3)
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(pow.f64 (pow.f64 (/.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)) 3) 1/3)
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(pow.f64 (/.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)) 1)
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) tau) (*.f64 (neg.f64 x) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 2)) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) tau))
(neg.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) (neg.f64 tau))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))
(cbrt.f64 (pow.f64 (/.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)) 3))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) tau) (pow.f64 (*.f64 (PI.f64) x) 2))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.5b
(/.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))
✓0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 72 to 15 computations (79.2% saved)

series51.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))
3.0ms
x
@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))
1.0ms
tau
@inf
(/.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))
1.0ms
tau
@-inf
(/.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))
1.0ms
x
@-inf
(/.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))
Compiler

Compiled 7015 to 3525 computations (49.8% saved)

rewrite295.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
233×egg-rr
91×egg-rr
48×egg-rr
Counts
3 → 372
Calls
Call 1
Inputs
(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 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))
Outputs
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(PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (pow.f64 (cbrt.f64 (cbrt.f64 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (/.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2) (*.f64 2 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (neg.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 1/2) (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3))))))

simplify1.3s (3.2%)

Algorithm
1×egglog
Counts
424 → 536
Calls
Call 1
Inputs
(*.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 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (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 (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 (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 (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)))
(pow.f64 x 2)
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 -1/6 (pow.f64 (PI.f64) 3))) (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 -1/6 (pow.f64 (PI.f64) 3))) (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 8) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3))) (+.f64 (*.f64 -1/5040 (pow.f64 (*.f64 tau (PI.f64)) 7)) (*.f64 -1/5040 (pow.f64 (PI.f64) 7)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 -1/6 (pow.f64 (PI.f64) 3))) (pow.f64 x 4)) (pow.f64 x 2))))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))
(*.f64 tau (sin.f64 (*.f64 (PI.f64) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (*.f64 (pow.f64 tau 3) (sin.f64 (*.f64 (PI.f64) x))))) (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (*.f64 (pow.f64 tau 3) (sin.f64 (*.f64 (PI.f64) x))))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 tau 5) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 5) (sin.f64 (*.f64 (PI.f64) x))))) (*.f64 tau (sin.f64 (*.f64 (PI.f64) x)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (*.f64 (pow.f64 tau 3) (sin.f64 (*.f64 (PI.f64) x))))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (pow.f64 tau 7)))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 tau 5) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 5) (sin.f64 (*.f64 (PI.f64) x))))) (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))))))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x)))
(-.f64 0 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (*.f64 x (PI.f64)) (*.f64 x (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x)
(*.f64 (*.f64 (PI.f64) (*.f64 x x)) (PI.f64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x (PI.f64)) (PI.f64)))
(*.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) (PI.f64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64))))
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(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2) 2))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 1/2 1))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)) (sin.f64 (*.f64 x (PI.f64)))) 1))
(*.f64 -1 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64))))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.f64 (neg.f64 -1) (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (sin.f64 (*.f64 x (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))) (pow.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))))
(*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64))))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2)))))
(*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2)))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (/.f64 1 -2))
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (/.f64 1 (cbrt.f64 4)))
(*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2)
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -2)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2)) (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) 1) -2)
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) 1) (cbrt.f64 4))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) 1) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) 1) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (pow.f64 (cbrt.f64 (cbrt.f64 4)) 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) -1)
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (/.f64 1 1/2))
(/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2) (*.f64 2 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 4)
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (neg.f64 -2))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 1)
(neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 1/2) (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3))
Outputs
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(pow.f64 (*.f64 x (PI.f64)) 2)
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(pow.f64 (*.f64 x (PI.f64)) 2)
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(pow.f64 (*.f64 x (PI.f64)) 2)
(*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))
(pow.f64 (*.f64 x (PI.f64)) 2)
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))))) (pow.f64 x 6))))
(/.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 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) 1) (sqrt.f64 2))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 2))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2)) 1) (sqrt.f64 2))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) 1) (cbrt.f64 4))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4))) (pow.f64 (cbrt.f64 (cbrt.f64 4)) 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) -1)
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (/.f64 1 1/2))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2) (*.f64 2 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 4)
(/.f64 (fma.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2 (neg.f64 (*.f64 2 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) 4)
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (neg.f64 -2))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2))) (neg.f64 (cbrt.f64 4)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (sqrt.f64 2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) -1/2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3)
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))
(pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 1)
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))
(neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))
(neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 1/2) (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1/2)))
(*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 3))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))

eval446.0ms (1.1%)

Compiler

Compiled 48543 to 11725 computations (75.8% saved)

prune470.0ms (1.2%)

Pruning

53 alts after pruning (52 fresh and 1 done)

PrunedKeptTotal
New1323521375
Fresh000
Picked011
Done101
Total1324531377
Error
0.0b
Counts
1377 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
1.1b
(if (!=.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau 1) (+.f64 tau -1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (-.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2))) 0) (/.f64 -2 (/.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau 1) (+.f64 tau -1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (-.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2))))) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau))
4.0b
(pow.f64 (pow.f64 (/.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)) 3) 1/3)
1.4b
(pow.f64 (cbrt.f64 (/.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))) 3)
1.9b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
10.1b
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
▶1.0b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x))) (PI.f64))
8.9b
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
9.9b
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 x (PI.f64))) (*.f64 (*.f64 tau 2) (*.f64 x (PI.f64))))
10.0b
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (cbrt.f64 4)))
2.5b
(/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2) 2) (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
1.8b
(/.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 3) (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
2.7b
(/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2) 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
0.9b
(/.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)
0.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) (PI.f64))) x)
1.8b
(/.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))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2))
✓0.8b
(/.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))
1.7b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
53.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
1.8b
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (neg.f64 tau) (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 tau) (*.f64 x (PI.f64)))) 2))
9.9b
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) 2))
1.2b
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x) (PI.f64)) (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 (*.f64 (PI.f64) x) (cbrt.f64 tau)))) (cbrt.f64 (*.f64 tau tau)))
0.8b
(/.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)
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (*.f64 tau x))
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 tau x))
▶1.2b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 (PI.f64) tau))
1.0b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (*.f64 (*.f64 (PI.f64) tau) (PI.f64)))
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (*.f64 (*.f64 x (PI.f64)) (PI.f64)))
0.9b
(/.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))
0.8b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) x))
▶0.8b
(/.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))
54.8b
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
▶54.5b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
10.5b
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1/2) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (/.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 1/2) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
3.9b
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) 3) 1/3) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
1.4b
(*.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) tau) (*.f64 (PI.f64) x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (PI.f64) (cbrt.f64 x))))
0.8b
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)))
54.8b
(*.f64 (/.f64 (/.f64 1 x) (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)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 (PI.f64) tau)))
0.8b
(*.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))
1.9b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2)))
1.7b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) 2)))
▶0.7b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
0.8b
(*.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)))
0.9b
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
53.8b
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
54.8b
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
53.8b
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
1.6b
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))) (pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) tau))
1.7b
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) 2) (/.f64 (/.f64 1 x) (*.f64 (PI.f64) tau))))
1.0b
(cbrt.f64 (pow.f64 (/.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)) 3))
Compiler

Compiled 2853 to 1620 computations (43.2% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.4b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau))
✓0.5b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
Compiler

Compiled 64 to 10 computations (84.4% saved)

series79.0ms (0.2%)

Counts
3 → 70
Calls

18 calls:

TimeVariablePointExpression
16.0ms
x
@0
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
11.0ms
tau
@0
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau))
1.0ms
tau
@inf
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau))
1.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
1.0ms
tau
@0
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
Compiler

Compiled 7545 to 3210 computations (57.5% saved)

rewrite433.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
347×egg-rr
157×egg-rr
125×egg-rr
Counts
3 → 629
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau))
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
Outputs
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(*.f64 x (PI.f64)) tau)) x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (*.f64 (cbrt.f64 (*.f64 (neg.f64 x) (PI.f64))) (cbrt.f64 (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 x)) 1) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 x)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.f64 (neg.f64 x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3))))))

simplify2.6s (6.3%)

Algorithm
1×egglog
Counts
699 → 928
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (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 (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 (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 (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 1 (*.f64 tau (PI.f64)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (*.f64 tau (PI.f64)))) (/.f64 1 (*.f64 tau (PI.f64))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (*.f64 tau (PI.f64)))) (/.f64 1 (*.f64 tau (PI.f64)))))
(+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (PI.f64) 5)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 2)) (*.f64 tau (PI.f64)))) (+.f64 (/.f64 1 (*.f64 tau (PI.f64))) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (PI.f64) 7) (pow.f64 x 6)) (*.f64 tau (PI.f64)))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 tau (*.f64 (PI.f64) x)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (*.f64 tau (PI.f64)) 3)) (PI.f64))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (PI.f64))) (/.f64 1 (PI.f64))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (*.f64 tau (PI.f64)) 3)) (PI.f64))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (pow.f64 x 6)) (PI.f64))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 4)) (PI.f64))) (/.f64 1 (PI.f64)))))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))) (*.f64 x (PI.f64)))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2) (*.f64 x x))) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) x)
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 1)
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (PI.f64))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) x)
(/.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) x)
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 x)) 1) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64)))) 1) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) 1) x)
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 1 (PI.f64))) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (PI.f64)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (*.f64 x (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (cbrt.f64 (*.f64 (neg.f64 x) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 x) (PI.f64))) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64)))) 1) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) 2) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (*.f64 (cbrt.f64 (*.f64 (neg.f64 x) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 x)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) -1)
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (PI.f64))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))) (pow.f64 x 6))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (*.f64 (PI.f64) x) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))))
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(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) (*.f64 (cbrt.f64 (*.f64 (neg.f64 x) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) 2))) (cbrt.f64 (*.f64 (*.f64 (neg.f64 x) (PI.f64)) (pow.f64 (*.f64 (PI.f64) x) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) 1) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 x)) (neg.f64 (PI.f64)))
(/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (neg.f64 (PI.f64)) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (*.f64 x (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) x))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64))) (neg.f64 x))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 -1 (*.f64 (PI.f64) x))))
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (PI.f64))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 x)) (PI.f64)) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (*.f64 (PI.f64) x))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) x) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 x)) (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 x)) (PI.f64)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 1)
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64)))) 3)
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3) 1/3)
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(neg.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (neg.f64 x) (PI.f64))) 1))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) 3))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) x) (PI.f64))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
✓0.4b
(*.f64 (pow.f64 (PI.f64) 2) tau)
Compiler

Compiled 21 to 15 computations (28.6% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
tau
@-inf
(*.f64 (pow.f64 (PI.f64) 2) tau)
1.0ms
tau
@-inf
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
0.0ms
tau
@0
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
0.0ms
tau
@0
(*.f64 (pow.f64 (PI.f64) 2) tau)
0.0ms
tau
@inf
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
Compiler

Compiled 15 to 15 computations (0% saved)

rewrite294.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
293×egg-rr
191×egg-rr
Counts
2 → 484
Calls
Call 1
Inputs
(*.f64 (pow.f64 (PI.f64) 2) tau)
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
Outputs
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0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 tau (*.f64 (PI.f64) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 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0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 tau)) (neg.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) -1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) (*.f64 tau (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) (cbrt.f64 tau) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 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neg.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 (/.f64 1 tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 -1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 -1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) tau) (/.f64 -1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) (/.f64 0 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 3))))))

simplify1.2s (2.9%)

Algorithm
1×egglog
Counts
484 → 656
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau)) 0)
(fma.f64 tau (*.f64 (PI.f64) (PI.f64)) 0)
(fma.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)) 0)
(fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau)) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)) tau) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) 0)
(fma.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 -1 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0)
(fma.f64 (*.f64 (PI.f64) (PI.f64)) tau 0)
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1 0)
(fma.f64 (*.f64 (neg.f64 tau) (PI.f64)) (neg.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (neg.f64 tau)) (neg.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) 0)
(fma.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) -1 0)
(fma.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0)
(fma.f64 (PI.f64) (*.f64 tau (PI.f64)) 0)
(fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 0)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) (cbrt.f64 tau) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) 0)
(fma.f64 (*.f64 tau (PI.f64)) (PI.f64) 0)
(fma.f64 (/.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) -1) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 tau tau))) 0)
(fma.f64 (*.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2)) (cbrt.f64 (*.f64 tau (cbrt.f64 tau))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (*.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2)) 0)
(fma.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)) 0)
(fma.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 0)
(fma.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 tau) (PI.f64)) 0)
(if (!=.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) 0) (/.f64 (cbrt.f64 tau) (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (PI.f64) (PI.f64)) 0) (/.f64 tau (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 tau 0) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 0) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) 0) (cbrt.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (*.f64 tau tau)) 0) (/.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 1 (*.f64 tau tau)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (PI.f64) 0) (/.f64 (*.f64 tau (PI.f64)) (/.f64 1 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0) (/.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 tau (PI.f64)) 0) (/.f64 (PI.f64) (/.f64 (/.f64 1 tau) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 1 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 1 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 -1 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 2 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0)) 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 0) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 0 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 0 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 0) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 0 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 0) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 0 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))))) 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) (+.f64 0 (+.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 0 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) -1/3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) -3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 0 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1/3) 1/3)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 2)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1) 1)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3/2) 3/2)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1/2) 1/2)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 6) 6)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 9) 9)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 3)
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 4) 4)
(+.f64 (*.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1/2) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1/2))
(+.f64 (*.f64 0 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
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(pow.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 1)
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1)
(neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) tau)))
(neg.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 (/.f64 1 tau) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 -1 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 -1 (PI.f64))))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) tau) (/.f64 -1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))))
(neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) 0))
(neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) (/.f64 0 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))
(neg.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 3))
Outputs
(fma.f64 (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau)) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 tau (*.f64 (PI.f64) (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)) 0)
(fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau)) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)) tau) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) 0)
(fma.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 -1 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (*.f64 (PI.f64) (PI.f64)) tau 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 1 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (neg.f64 tau) (PI.f64)) (neg.f64 (PI.f64)) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (neg.f64 tau)) (neg.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) 0)
(fma.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) -1 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (PI.f64) (*.f64 tau (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) (cbrt.f64 tau) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2) 0)
(fma.f64 (*.f64 tau (PI.f64)) (PI.f64) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (/.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) -1) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (neg.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 tau tau))) 0)
(*.f64 (neg.f64 (cbrt.f64 (*.f64 tau tau))) (neg.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2)) (cbrt.f64 (*.f64 tau (cbrt.f64 tau))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 0)
(fma.f64 (*.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 2)) 0)
(fma.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)) 0)
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)) 0)
(fma.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) 0)
(fma.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) (cbrt.f64 tau) 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 tau) (PI.f64)) 0)
(fma.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))) 0)
(if (!=.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) 0) (/.f64 (cbrt.f64 tau) (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) 0) (/.f64 (cbrt.f64 tau) (pow.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) -1)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (PI.f64) (PI.f64)) 0) (/.f64 tau (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 tau 0) (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 0) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) 0) (cbrt.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64))) 0) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (cbrt.f64 (*.f64 tau tau)) 0) (/.f64 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 1 (*.f64 tau tau)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (PI.f64) 0) (/.f64 (*.f64 tau (PI.f64)) (/.f64 1 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0) (/.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0) (/.f64 (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 tau (PI.f64)) 0) (/.f64 (PI.f64) (/.f64 (/.f64 1 tau) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 1 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 1 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 -1 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 2 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) (PI.f64)) 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0)) 0) (/.f64 (+.f64 0 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3)) (+.f64 0 (-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(if (!=.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) 0) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
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(/.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 tau (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2)) (*.f64 (PI.f64) (PI.f64))) tau)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) 2))
(/.f64 (neg.f64 (/.f64 (/.f64 1 (PI.f64)) tau)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 -1 (*.f64 tau (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (neg.f64 tau)))
(cbrt.f64 (/.f64 (/.f64 -1 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 tau)))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(/.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2) -1) (cbrt.f64 tau))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (cbrt.f64 tau) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 tau) (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 tau tau))) (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 tau))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 tau tau))) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 tau))
(/.f64 (*.f64 -1 (/.f64 -1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2))) (cbrt.f64 tau))
(/.f64 (neg.f64 (/.f64 -1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2))) (cbrt.f64 tau))
(/.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 tau)) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 -1 (cbrt.f64 (*.f64 tau (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (neg.f64 tau))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 tau)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 tau))
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2)))) (cbrt.f64 tau))
(/.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau)) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 -1 tau)) (neg.f64 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2) (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 tau))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2) (*.f64 (PI.f64) (PI.f64))) tau))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(cbrt.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2) tau)) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 3) 1/3)
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 1)
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1)
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (/.f64 (cbrt.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64)))) tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) tau)))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 (/.f64 1 tau) (PI.f64))))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 -1 (PI.f64))))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 -1 (PI.f64))))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2)) (cbrt.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 2) (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) tau) (/.f64 -1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))))
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) -1) (*.f64 (*.f64 tau (PI.f64)) (cbrt.f64 (PI.f64)))))
(neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) 0))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (-.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))) (/.f64 0 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(neg.f64 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 -1 tau)) (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))) 3))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.4b
(/.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))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 66 to 18 computations (72.7% saved)

series65.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@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))
1.0ms
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))
1.0ms
tau
@-inf
(/.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))
1.0ms
tau
@inf
(/.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))
1.0ms
x
@-inf
(/.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))
Compiler

Compiled 4165 to 2280 computations (45.3% saved)

rewrite354.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
304×egg-rr
Counts
1 → 304
Calls
Call 1
Inputs
(/.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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.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)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 0) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.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 if (!=.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 0) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (/.f64 (*.f64 (sin.f64 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(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)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))))) 2) 0) (/.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (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)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 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simplify949.0ms (2.3%)

Algorithm
1×egglog
Counts
328 → 430
Calls
Call 1
Inputs
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(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))) (cbrt.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))))) (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 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.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))) (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 tau))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (/.f64 -1 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (sqrt.f64 2)) (/.f64 (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) (sqrt.f64 2))
(/.f64 (/.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))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 tau)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.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))) 1) (neg.f64 tau))
(/.f64 (*.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))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 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))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1) 2)
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1) 2)
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.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))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 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 (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))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 1/2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau) 1))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 tau (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) -2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (sqrt.f64 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (cbrt.f64 2)) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (cbrt.f64 4)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(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)
(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)
(pow.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) 1/3)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) 1))
(neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 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)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))) (pow.f64 x 6))))
(/.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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
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(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.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 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.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))) (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 tau))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 2) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 tau))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (/.f64 -1 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (sqrt.f64 2)) (/.f64 (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) (sqrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (/.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))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 tau)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.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))) 1) (neg.f64 tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.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))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 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))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1) 2)
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1) 2)
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (/.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))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 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 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 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) (cbrt.f64 tau))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 tau (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 1/2))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) 1/2) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau) 1))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 tau (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 -2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (sqrt.f64 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (cbrt.f64 2)) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) (cbrt.f64 4)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (cbrt.f64 4) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau) 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 2 tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 -2 tau)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(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 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.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 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(pow.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) 1/3)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) 1))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 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)) 3))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
✓0.4b
(*.f64 (PI.f64) (*.f64 x x))
✓0.4b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x))) (PI.f64))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
Compiler

Compiled 95 to 13 computations (86.3% saved)

series117.0ms (0.3%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
2.0ms
tau
@0
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
2.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
2.0ms
x
@inf
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
2.0ms
tau
@-inf
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
Compiler

Compiled 8235 to 4140 computations (49.7% saved)

rewrite350.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
251×egg-rr
247×egg-rr
58×egg-rr
Counts
3 → 556
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x))) (PI.f64))
(*.f64 (PI.f64) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x)))
Outputs
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(*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (PI.f64)) (neg.f64 tau)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (*.f64 tau 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) 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 tau)) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (cbrt.f64 (*.f64 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)))) tau)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (neg.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3))))))

simplify1.7s (4.2%)

Algorithm
1×egglog
Counts
608 → 809
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (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 (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 (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 (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 x 2) (PI.f64))
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (pow.f64 x 2) (PI.f64))
(/.f64 1 (*.f64 tau (PI.f64)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (/.f64 1 (*.f64 tau (PI.f64))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 tau (PI.f64)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (PI.f64)))))) (pow.f64 x 4)) (/.f64 1 (*.f64 tau (PI.f64)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 tau (PI.f64)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (PI.f64)))))) (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 tau (PI.f64))) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (PI.f64))))))) (pow.f64 x 6)))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (*.f64 tau (PI.f64)))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) 2)) x)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) (cbrt.f64 (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) (cbrt.f64 (*.f64 x x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 -1 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) 2)) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (neg.f64 tau)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) 2)) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 tau))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)) tau))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 (*.f64 x x) tau))) (PI.f64))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) (*.f64 (PI.f64) tau))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (/.f64 1 (*.f64 x x))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (PI.f64))) (/.f64 1 (*.f64 x x))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 1 (*.f64 x x))) (*.f64 (PI.f64) (neg.f64 tau)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (/.f64 -1 (*.f64 (*.f64 x (PI.f64)) x))) (neg.f64 tau))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 -1 (*.f64 (*.f64 x (PI.f64)) x))) tau)
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) 2)) (*.f64 x x))) (PI.f64))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x)) 1) (PI.f64))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) 1) (neg.f64 tau))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (PI.f64)) 1) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) 1) x)
(/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) 1) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (/.f64 1 (*.f64 tau x))) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (/.f64 1 (*.f64 x (PI.f64))) x)) (*.f64 tau 2))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) tau) (/.f64 (/.f64 1 (*.f64 x (PI.f64))) x)) 2)
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 tau)) (/.f64 (/.f64 1 (*.f64 x (PI.f64))) x)) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) x) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (*.f64 x (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 tau x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)) tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (cbrt.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)) (*.f64 (*.f64 x x) tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau)) 2))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau)) 2)
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) 1) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) 2) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)) 1) tau)
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 tau))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) -1) tau)
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (neg.f64 tau))) (pow.f64 (cbrt.f64 (neg.f64 tau)) 2))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 tau)) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) 1) (neg.f64 tau))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) (neg.f64 (cbrt.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau))) 1))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (/.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 1/2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) -2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (PI.f64)) (neg.f64 tau)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (*.f64 tau 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 tau)) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x x)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau))) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x x)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau)))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)))) tau)
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))))) (pow.f64 x 6))))
(/.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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau x) (PI.f64))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 3)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 3)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 5) (pow.f64 tau 4))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 3)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (fma.f64 1/120 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 5) (pow.f64 tau 4))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.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 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (PI.f64) x))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (PI.f64) x))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (PI.f64) x))) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (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 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (*.f64 x (PI.f64)) x)
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (*.f64 x (PI.f64)) x)
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (*.f64 x (PI.f64)) x)
(*.f64 (pow.f64 x 2) (PI.f64))
(*.f64 (*.f64 x (PI.f64)) x)
(/.f64 1 (*.f64 tau (PI.f64)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (/.f64 1 (*.f64 tau (PI.f64))))
(fma.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (*.f64 x x) (/.f64 1 (*.f64 tau (PI.f64))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 tau (PI.f64)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (PI.f64)))))) (pow.f64 x 4)) (/.f64 1 (*.f64 tau (PI.f64)))))
(fma.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (*.f64 x x) (fma.f64 (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64))) (*.f64 1/120 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 tau (PI.f64))) (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (PI.f64)))))) (pow.f64 x 4) (/.f64 1 (*.f64 tau (PI.f64)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (PI.f64)))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (PI.f64))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 tau (PI.f64)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (PI.f64)))))) (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 tau (PI.f64))) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (PI.f64)))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (PI.f64))))))) (pow.f64 x 6)))))
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(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (*.f64 tau (PI.f64)))
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(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau))) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 tau (*.f64 x x)))) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (neg.f64 (*.f64 (*.f64 x x) tau)))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 tau (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (cbrt.f64 (*.f64 x x)))) (neg.f64 (*.f64 x (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (cbrt.f64 (*.f64 x x)))) (*.f64 x (cbrt.f64 x)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)) 2))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x)))) tau)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (PI.f64)) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64)))) (neg.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))) -1)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) 3)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3) 1/3)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (*.f64 x x)) (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 3))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau (*.f64 x x)) (PI.f64)))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))))
✓0.4b
(*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
✓0.5b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
✓1.0b
(cbrt.f64 (PI.f64))
Compiler

Compiled 111 to 17 computations (84.7% saved)

series106.0ms (0.3%)

Counts
4 → 58
Calls

15 calls:

TimeVariablePointExpression
12.0ms
tau
@inf
(*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
7.0ms
tau
@-inf
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
6.0ms
x
@0
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
4.0ms
x
@inf
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
3.0ms
tau
@inf
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
Compiler

Compiled 10375 to 5845 computations (43.7% saved)

rewrite291.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
317×egg-rr
122×egg-rr
56×egg-rr
20×egg-rr
Counts
4 → 515
Calls
Call 1
Inputs
(cbrt.f64 (PI.f64))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) 0) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (/.f64 (*.f64 (PI.f64) (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))))) (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 x (PI.f64)) (*.f64 (*.f64 (PI.f64) tau) x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) 0) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 tau (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x))) (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 x (PI.f64)) (*.f64 (*.f64 (PI.f64) tau) x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (*.f64 (sin.f64 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egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)))))))

simplify1.6s (4%)

Algorithm
1×egglog
Counts
573 → 744
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (pow.f64 x 6)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.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 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64))))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (+.f64 (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64)))))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 (pow.f64 x 2) (PI.f64))))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (*.f64 (pow.f64 x 2) (PI.f64))))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 tau (PI.f64)))
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(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64)))) x)
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) 2)) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64))))) (cbrt.f64 x))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) x))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) 2)) (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x))) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) 2)) (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (cbrt.f64 (PI.f64))) 2)) (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x))) (cbrt.f64 (cbrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (/.f64 1 (PI.f64)))) (*.f64 x x))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (/.f64 1 (PI.f64)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (/.f64 1 (PI.f64)))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 2))) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 2))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 2))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) x)) x)
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) 1) (neg.f64 x))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64))))) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 x x)))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) x) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)) -1)
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))
(pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x))) 3)
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 1)
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)))
Outputs
(/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))))) (*.f64 x x)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (fma.f64 (pow.f64 x 4) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) tau) 3)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (*.f64 1/120 (+.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 5) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau)))))) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))))) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64)))))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/3) (*.f64 (pow.f64 (PI.f64) 1/3) (*.f64 tau (PI.f64))))))))) (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (fma.f64 (pow.f64 x 4) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) tau) 3)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (*.f64 1/120 (+.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 5) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau)))))) (fma.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))))) (*.f64 x x) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 (PI.f64) tau) 7) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (*.f64 -1/720 (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) tau) 5)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))) (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 (PI.f64) tau) 3)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) tau))))))) (pow.f64 x 6)))))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 2))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 x x)) (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x))) 2) (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) x)))) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) x) (cbrt.f64 (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) x)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 x x) (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) x)) x)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) 1) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 x x)) (cbrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (PI.f64))))) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) 1) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 (PI.f64))))) (cbrt.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64))))) (neg.f64 (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 x x)))) (neg.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))))) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) x) x)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)) -1)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) x) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))
(pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)) 1/3)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x))) 3)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) x) x)) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) x)) (neg.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x x)) 3) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 x x)))

eval1.2s (3%)

Compiler

Compiled 131755 to 31739 computations (75.9% saved)

prune2.3s (5.7%)

Pruning

84 alts after pruning (81 fresh and 3 done)

PrunedKeptTotal
New3855633918
Fresh291847
Picked101
Done235
Total3887843971
Error
0.0b
Counts
3971 → 84
Alt Table
Click to see full alt table
StatusErrorProgram
54.5b
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
4.0b
(pow.f64 (pow.f64 (/.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)) 3) 1/3)
▶54.5b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
1.8b
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) 3) (PI.f64))
1.9b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
10.1b
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
1.4b
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) (PI.f64))
0.9b
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x))) x) (*.f64 x (PI.f64))) (PI.f64)) tau)
9.9b
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)) (PI.f64))
1.1b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)) (PI.f64)) (*.f64 (*.f64 x x) tau))
1.8b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)) 3)) (PI.f64))
1.5b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) (PI.f64))
✓1.0b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x))) (PI.f64))
1.1b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
1.0b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (PI.f64) (neg.f64 tau))) (PI.f64)) (neg.f64 (*.f64 x x)))
0.9b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (*.f64 tau (*.f64 x x)))) (neg.f64 (PI.f64))) (PI.f64))
54.8b
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
8.9b
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
54.5b
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
2.5b
(/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2) 2) (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
2.7b
(/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2) 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
0.9b
(/.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)
✓0.8b
(/.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))
▶0.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
53.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
54.5b
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
54.5b
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
54.5b
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
10.0b
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (*.f64 (*.f64 (cbrt.f64 4) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 2)))
▶9.9b
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
1.8b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 3) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (*.f64 (PI.f64) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) x)) (PI.f64))
9.9b
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 tau (PI.f64) (PI.f64))))) (cbrt.f64 2)) (/.f64 1 tau)) (*.f64 (cbrt.f64 4) (pow.f64 (*.f64 x (PI.f64)) 2)))
▶0.8b
(/.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)
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 tau x))
0.8b
(/.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))
54.5b
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
1.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) 2)) (PI.f64))
0.8b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) x))
1.8b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3) tau))
1.7b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4))) tau))
1.0b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) x))
2.9b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x)))) (PI.f64))
53.8b
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
54.5b
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
54.8b
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
1.1b
(/.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (-.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
54.8b
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
54.5b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
✓54.5b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
▶54.5b
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
10.5b
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1/2) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (/.f64 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 1/2) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
54.5b
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
54.5b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
54.5b
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
54.8b
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
54.5b
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
2.5b
(*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) 2) 2) (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
0.8b
(*.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))
0.9b
(*.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))))
1.7b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) 2)))
0.9b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 tau x)))
52.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
0.8b
(*.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)))
0.9b
(*.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)))
1.8b
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 2) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2))))
53.8b
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
54.5b
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
53.8b
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
1.6b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (*.f64 (PI.f64) tau))) 2) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (PI.f64) tau) x)) x) (*.f64 (PI.f64) tau))))
1.6b
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) 1)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
2.9b
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))))
Compiler

Compiled 3805 to 2269 computations (40.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 tau x) (PI.f64))
✓0.4b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
✓0.4b
(sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))
✓0.5b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
Compiler

Compiled 75 to 11 computations (85.3% saved)

series102.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
1.0ms
tau
@0
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
1.0ms
tau
@inf
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
1.0ms
tau
@-inf
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
1.0ms
tau
@-inf
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
Compiler

Compiled 9355 to 3730 computations (60.1% saved)

rewrite280.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
288×egg-rr
238×egg-rr
78×egg-rr
14×egg-rr
Counts
4 → 618
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
(sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
(*.f64 (*.f64 tau x) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 0) (pow.f64 (/.f64 (*.f64 x (PI.f64)) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))) -1) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) 0) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 tau x)) (/.f64 (*.f64 x (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))) (/.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 2)))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 tau x)) 0) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (*.f64 x (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 tau x)))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 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(!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 tau (PI.f64)) 0) (/.f64 x (/.f64 1 (*.f64 tau (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (*.f64 tau x) (PI.f64)) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (*.f64 tau (PI.f64)) (/.f64 1 x)) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) 0) (/.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)))) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) 0) (/.f64 (cbrt.f64 tau) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))))) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau x) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 tau x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 tau (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (PI.f64)) tau)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (PI.f64)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))) (cbrt.f64 (pow.f64 (*.f64 tau x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 tau (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 tau (cbrt.f64 (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)) (cbrt.f64 (*.f64 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) (cbrt.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (*.f64 tau x))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 tau x)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (cbrt.f64 tau) (*.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))) (*.f64 tau x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (*.f64 tau x))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (PI.f64))) (*.f64 tau x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 tau x)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 tau x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 tau) (*.f64 (neg.f64 x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 tau)) (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 -1) (*.f64 (*.f64 tau x) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau x) (neg.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 tau x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3))))))

simplify2.6s (6.5%)

Algorithm
1×egglog
Counts
714 → 861
Calls
Call 1
Inputs
(/.f64 (sin.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 (sin.f64 (*.f64 x (PI.f64))) (*.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 (sin.f64 (*.f64 x (PI.f64))) (*.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 (sin.f64 (*.f64 x (PI.f64))) (*.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 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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))
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 tau x))) (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) -2))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))))) (*.f64 (*.f64 tau x) -2))
(/.f64 (*.f64 (/.f64 1 (*.f64 tau x)) (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))))) (*.f64 (PI.f64) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)) -2))
(/.f64 (*.f64 (/.f64 1 tau) (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))))) (*.f64 (*.f64 x (PI.f64)) -2))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64))))) 1) (*.f64 2 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (sin.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) tau)) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 tau x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 (*.f64 tau x)))) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 tau x) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 (*.f64 tau x)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 (*.f64 tau x)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) x)) (*.f64 (neg.f64 (PI.f64)) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) x)) (*.f64 tau (PI.f64)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) x)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))
(/.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64))))) (neg.f64 (*.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau x)) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64))) (neg.f64 (*.f64 tau x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau x)) (cbrt.f64 (PI.f64)))) (neg.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64)))) -2)
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) -1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) 3))
(if (!=.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 0) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 tau x)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 tau x) 0) (/.f64 (PI.f64) (/.f64 1 (*.f64 tau x))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (PI.f64) 0) (/.f64 (*.f64 tau x) (/.f64 1 (PI.f64))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) 0) (/.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 tau 0) (/.f64 (*.f64 x (PI.f64)) (/.f64 1 tau)) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 x (PI.f64)) 0) (/.f64 tau (/.f64 (/.f64 1 (PI.f64)) x)) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 0) (/.f64 (*.f64 tau (cbrt.f64 (*.f64 x (PI.f64)))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 (*.f64 tau x) (PI.f64)) 0) (/.f64 1 (/.f64 (/.f64 1 (PI.f64)) (*.f64 tau x))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)) 0) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)) 0) (/.f64 (cbrt.f64 (*.f64 tau x)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) 0) (/.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (/.f64 1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 tau (PI.f64)) 0) (/.f64 x (/.f64 1 (*.f64 tau (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 1 0) (*.f64 (*.f64 tau x) (PI.f64)) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 x 0) (/.f64 (*.f64 tau (PI.f64)) (/.f64 1 x)) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) 0) (/.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)))) (*.f64 (*.f64 tau x) (PI.f64)))
(if (!=.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) 0) (/.f64 (cbrt.f64 tau) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))))) (*.f64 (*.f64 tau x) (PI.f64)))
(-.f64 0 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))
(*.f64 (*.f64 tau x) (PI.f64))
(*.f64 (PI.f64) (*.f64 tau x))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))
(*.f64 (*.f64 x (PI.f64)) tau)
(*.f64 (*.f64 tau (PI.f64)) x)
(*.f64 (*.f64 tau (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))) (cbrt.f64 (pow.f64 (*.f64 tau x) 2)))
(*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)))
(*.f64 x (*.f64 tau (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)))
(*.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))))
(*.f64 1 (*.f64 (*.f64 tau x) (PI.f64)))
(*.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 tau (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)) (cbrt.f64 (*.f64 tau x)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) (cbrt.f64 tau))
(*.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2))
(*.f64 (*.f64 (*.f64 (*.f64 tau x) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (*.f64 tau x))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 x (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 tau x)))
(*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau x)) 1))
(*.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau x) 2)) (PI.f64)) 1))
(*.f64 (cbrt.f64 tau) (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 x (PI.f64))) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 tau x)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 tau x)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (cbrt.f64 tau) (*.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))) (*.f64 tau x))))
(*.f64 (neg.f64 (neg.f64 (*.f64 tau x))) (PI.f64))
(*.f64 (neg.f64 (neg.f64 (PI.f64))) (*.f64 tau x))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 (neg.f64 (*.f64 tau x)) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 tau x)))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2))
(*.f64 (neg.f64 tau) (*.f64 (neg.f64 x) (PI.f64)))
(*.f64 -1 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))
(*.f64 (neg.f64 (neg.f64 tau)) (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))
(*.f64 (neg.f64 -1) (*.f64 (*.f64 tau x) (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))))
(*.f64 (*.f64 tau x) (neg.f64 (neg.f64 (PI.f64))))
(*.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 tau x))))
(*.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2)))
(/.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)
(/.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)) -1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)
(neg.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3))
Outputs
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(+.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (*.f64 tau tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))))
(+.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(fma.f64 1/120 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 5) (pow.f64 tau 4))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (*.f64 tau tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))))
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(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
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tau
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3))) tau)
(fma.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) tau)
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(fma.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (fma.f64 1/120 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) tau))
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(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 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))))
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) x)
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (PI.f64) tau) 3)) x)
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(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 (PI.f64) tau) 3)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (*.f64 (PI.f64) tau) 5)) x))
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(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 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))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
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(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 tau x) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (*.f64 tau x))) (PI.f64))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (PI.f64))) (*.f64 tau x))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2))))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (*.f64 tau x)) (neg.f64 (PI.f64)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (*.f64 tau x)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2))
(*.f64 (neg.f64 tau) (*.f64 (neg.f64 x) (PI.f64)))
(*.f64 (*.f64 (neg.f64 tau) (neg.f64 x)) (PI.f64))
(*.f64 -1 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (neg.f64 tau)) (*.f64 x (PI.f64)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (neg.f64 -1) (*.f64 (*.f64 tau x) (PI.f64)))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 2)))))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (*.f64 tau x) (neg.f64 (neg.f64 (PI.f64))))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (PI.f64) (neg.f64 (neg.f64 (*.f64 tau x))))
(*.f64 tau (*.f64 x (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2)))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64))) 2))
(/.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)
(*.f64 tau (*.f64 x (PI.f64)))
(/.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)) -1)
(*.f64 tau (*.f64 x (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 3)
(*.f64 tau (*.f64 x (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3) 1/3)
(*.f64 tau (*.f64 x (PI.f64)))
(pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 1)
(*.f64 tau (*.f64 x (PI.f64)))
(neg.f64 (*.f64 (neg.f64 (*.f64 tau x)) (PI.f64)))
(*.f64 tau (*.f64 x (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 tau x) (PI.f64)) 3))
(*.f64 tau (*.f64 x (PI.f64)))

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 tau (PI.f64))
✓0.3b
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
✓0.4b
(*.f64 (*.f64 tau (PI.f64)) (PI.f64))
Compiler

Compiled 20 to 8 computations (60% saved)

series8.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
tau
@0
(*.f64 (*.f64 tau (PI.f64)) (PI.f64))
0.0ms
tau
@inf
(*.f64 tau (PI.f64))
0.0ms
tau
@-inf
(*.f64 tau (PI.f64))
0.0ms
tau
@inf
(*.f64 (*.f64 tau (PI.f64)) (PI.f64))
0.0ms
tau
@0
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
Compiler

Compiled 735 to 500 computations (32% saved)

rewrite369.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
246×egg-rr
188×egg-rr
92×egg-rr
Counts
3 → 526
Calls
Call 1
Inputs
(*.f64 (*.f64 tau (PI.f64)) (PI.f64))
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(*.f64 tau (PI.f64))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 tau (PI.f64)) (*.f64 0 (*.f64 tau (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (neg.f64 tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(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))) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2) (*.f64 tau (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (cbrt.f64 (*.f64 tau (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 tau (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) tau)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (cbrt.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 tau) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (neg.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) -1) (neg.f64 (cbrt.f64 (*.f64 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 tau)) (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 tau (cbrt.f64 (PI.f64))) -1) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (cbrt.f64 tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 tau (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 tau (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (*.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 tau)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 tau (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (PI.f64) (cbrt.f64 tau))) (neg.f64 (cbrt.f64 (*.f64 tau tau))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (cbrt.f64 tau)))) (cbrt.f64 (*.f64 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (neg.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (cbrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 tau))) 3) (cbrt.f64 (*.f64 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (*.f64 tau (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 tau)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (*.f64 (PI.f64) (cbrt.f64 tau)))) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (PI.f64))) (cbrt.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 tau (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (neg.f64 tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) tau) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 tau (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) -1) (cbrt.f64 (*.f64 tau tau))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 tau (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 tau) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 (neg.f64 tau))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 3))))))

simplify1.5s (3.8%)

Algorithm
1×egglog
Counts
550 → 771
Calls
Call 1
Inputs
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) 0)
(fma.f64 -1 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64))) 0)
(fma.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) 2) 0)
(fma.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64))) 0)
(fma.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) -1) 0)
(fma.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 tau (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) 0)
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64)) 0)
(fma.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64)))) 0)
(fma.f64 (*.f64 tau (PI.f64)) (PI.f64) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2)) 0)
(fma.f64 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64))) -1 0)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau (PI.f64)))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64)) (cbrt.f64 (*.f64 tau (PI.f64))) 0)
(fma.f64 (*.f64 (neg.f64 tau) (PI.f64)) (neg.f64 (PI.f64)) 0)
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(if (!=.f64 -1 0) (*.f64 tau (PI.f64)) (*.f64 tau (PI.f64)))
(if (!=.f64 2 0) (*.f64 tau (PI.f64)) (*.f64 tau (PI.f64)))
(if (!=.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) -1/3)) (*.f64 tau (PI.f64)))
(if (!=.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) -3)) (*.f64 tau (PI.f64)))
(+.f64 (*.f64 (*.f64 (neg.f64 tau) (PI.f64)) 0) (*.f64 tau (PI.f64)))
(+.f64 (*.f64 (*.f64 tau (PI.f64)) 1/2) (*.f64 (*.f64 tau (PI.f64)) 1/2))
(+.f64 (*.f64 (*.f64 tau (PI.f64)) 0) (*.f64 tau (PI.f64)))
(+.f64 (*.f64 tau (PI.f64)) (*.f64 (*.f64 tau (PI.f64)) 0))
(+.f64 (*.f64 0 (*.f64 (neg.f64 tau) (PI.f64))) (*.f64 tau (PI.f64)))
(+.f64 (*.f64 1/2 (*.f64 tau (PI.f64))) (*.f64 1/2 (*.f64 tau (PI.f64))))
(+.f64 (*.f64 0 (*.f64 tau (PI.f64))) (*.f64 tau (PI.f64)))
(+.f64 (*.f64 tau (PI.f64)) (*.f64 0 (*.f64 tau (PI.f64))))
(-.f64 0 (*.f64 (neg.f64 tau) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 tau))
(*.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.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))) tau)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2) (*.f64 tau (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (cbrt.f64 (*.f64 tau (PI.f64))))
(*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2)))
(*.f64 tau (PI.f64))
(*.f64 (PI.f64) tau)
(*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))
(*.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (cbrt.f64 tau))
(*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 tau)))
(*.f64 (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (neg.f64 tau) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))))
(*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) -1))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 tau))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) -1) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(*.f64 (cbrt.f64 (neg.f64 tau)) (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) -1))
(*.f64 (/.f64 (*.f64 tau (cbrt.f64 (PI.f64))) -1) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (cbrt.f64 tau))))
(*.f64 1 (*.f64 tau (PI.f64)))
(*.f64 (*.f64 tau (PI.f64)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (*.f64 (cbrt.f64 (cbrt.f64 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))
(*.f64 (cbrt.f64 (neg.f64 tau)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))
(*.f64 (/.f64 (*.f64 tau (PI.f64)) 2) 2)
(*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (neg.f64 (*.f64 (PI.f64) (cbrt.f64 tau))) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (cbrt.f64 tau)))) (cbrt.f64 (*.f64 tau tau)))
(*.f64 (cbrt.f64 tau) (neg.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))))
(*.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2) (cbrt.f64 (PI.f64))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 tau))) 3) (cbrt.f64 (*.f64 tau tau)))
(*.f64 (cbrt.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (*.f64 tau (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 tau)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (*.f64 (PI.f64) (cbrt.f64 tau)))) (pow.f64 (cbrt.f64 (cbrt.f64 tau)) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (PI.f64))) (cbrt.f64 tau))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 tau (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) 2)))
(*.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)
(*.f64 -1 (*.f64 (neg.f64 tau) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) tau) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 tau (PI.f64)) 1)
(/.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) -1) (cbrt.f64 (*.f64 tau tau))) -1)
(pow.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) 1/3)
(pow.f64 (*.f64 tau (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3)
(neg.f64 (*.f64 (neg.f64 tau) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 (neg.f64 tau))))
(cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 3))
Outputs
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(*.f64 (pow.f64 (PI.f64) 2) tau)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 -1 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64))) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 tau) (pow.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) 2) 0)
(fma.f64 (cbrt.f64 tau) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64))) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) -1) 0)
(fma.f64 (cbrt.f64 (neg.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) tau) -1)) 0)
(fma.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 tau (PI.f64)))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) 0)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2))) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) tau))))
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (cbrt.f64 (*.f64 tau (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (cbrt.f64 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64)))) 0)
(fma.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 2))) (cbrt.f64 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64)))) 0)
(fma.f64 (*.f64 tau (PI.f64)) (PI.f64) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 tau (PI.f64))) (cbrt.f64 (PI.f64)) 0)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) 0)
(fma.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) 2)) 0)
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) tau) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2)) 2)) 0)
(fma.f64 (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (PI.f64))) -1 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau (PI.f64)))) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)) (PI.f64)) (cbrt.f64 (*.f64 tau (PI.f64))) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (*.f64 (neg.f64 tau) (PI.f64)) (neg.f64 (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) 0)
(fma.f64 (cbrt.f64 (*.f64 (neg.f64 tau) (PI.f64))) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2))) 0)
(fma.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)) 0)
(fma.f64 (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.f64 (*.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (PI.f64)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 0)
(fma.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 tau (PI.f64)))) 0)
(fma.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 (PI.f64) tau)) 0)
(fma.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 tau) (PI.f64)) 0)
(*.f64 (*.f64 (PI.f64) (PI.f64)) tau)
(fma.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 tau)) 0)
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(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (cbrt.f64 tau)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau tau)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))))
(cbrt.f64 (*.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 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (*.f64 tau (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(cbrt.f64 (*.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 (cbrt.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 tau (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) tau) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) tau) 2))) (cbrt.f64 (*.f64 (PI.f64) tau))))
(*.f64 (cbrt.f64 (*.f64 tau (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 tau (PI.f64))) 2)))
(cbrt.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (pow.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (PI.f64)) 2)))
(*.f64 (*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 2))))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 tau (pow.f64 (*.f64 (PI.f64) tau) 2))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))
(*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 tau (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)
(fma.f64 tau (PI.f64) 0)
(*.f64 -1 (*.f64 (neg.f64 tau) (PI.f64)))
(fma.f64 tau (PI.f64) 0)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) tau) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (neg.f64 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 tau (PI.f64)) 1)
(*.f64 (PI.f64) tau)
(/.f64 (*.f64 (neg.f64 tau) (PI.f64)) -1)
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) -1) (cbrt.f64 (*.f64 tau tau))) -1)
(/.f64 (*.f64 (PI.f64) tau) (neg.f64 -1))
(pow.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) 1/3)
(*.f64 (PI.f64) tau)
(pow.f64 (*.f64 tau (PI.f64)) 1)
(*.f64 (PI.f64) tau)
(pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3)
(*.f64 (PI.f64) tau)
(neg.f64 (*.f64 (neg.f64 tau) (PI.f64)))
(fma.f64 tau (PI.f64) 0)
(neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 tau)) (cbrt.f64 (neg.f64 tau))))
(neg.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 (neg.f64 tau))))
(cbrt.f64 (pow.f64 (*.f64 tau (PI.f64)) 3))
(*.f64 (PI.f64) tau)

localize19.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
✓0.6b
(cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
✓0.7b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
Compiler

Compiled 37 to 21 computations (43.2% saved)

series74.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
tau
@-inf
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
1.0ms
tau
@0
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
1.0ms
tau
@inf
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
0.0ms
tau
@-inf
(cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
0.0ms
tau
@inf
(cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
Compiler

Compiled 6140 to 4755 computations (22.6% saved)

rewrite192.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
207×egg-rr
207×egg-rr
62×egg-rr
Counts
3 → 476
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
Outputs
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simplify623.0ms (1.5%)

Algorithm
1×egglog
Counts
488 → 369
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(if (!=.f64 1 0) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 1 tau) 0) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau)) -1) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 2) 0) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (/.f64 tau (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 2))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) 0) (/.f64 1 (/.f64 tau (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
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(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 -1 tau) 0) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau)) -1) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 1 tau) 0) (/.f64 -1 (/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) 0) (/.f64 (cbrt.f64 (/.f64 -1 tau)) (/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 1 tau) tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 -1 tau) 0) (/.f64 -1 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 -1 tau))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (/.f64 1 tau)) 0) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (/.f64 1 tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 tau) (/.f64 (PI.f64) (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (PI.f64)) 0) (/.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (PI.f64) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2) 0) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (/.f64 (PI.f64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 (/.f64 1 tau) (PI.f64)) 0) (/.f64 1 (/.f64 (PI.f64) (/.f64 (/.f64 1 tau) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 0) (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (PI.f64) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) 0) (/.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (/.f64 1 tau)) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (/.f64 1 tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 -1 0) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
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(if (!=.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 0) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 0) (/.f64 1 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) -1)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) 0) (/.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (/.f64 (/.f64 1 tau) tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (neg.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau))) 0) (/.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (/.f64 (/.f64 1 tau) tau)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(-.f64 0 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)))
(-.f64 (/.f64 0 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)))
(-.f64 (/.f64 0 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau))) (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)))
(*.f64 1 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))) 2))
(*.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2))))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 1 tau) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 tau) (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(*.f64 (/.f64 -1 tau) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))))
(*.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (/.f64 -1 tau))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))) 2) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))))))
(*.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
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(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (cbrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)))
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 1 tau) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 (/.f64 -1 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (/.f64 (/.f64 -1 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 -1 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(*.f64 (/.f64 -1 (cbrt.f64 (PI.f64))) (/.f64 (/.f64 -1 tau) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (PI.f64)) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 1))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 1) (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) 1))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 1) (/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2) 1))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 1) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) 2) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (*.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) 1))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) -1) (*.f64 (PI.f64) (neg.f64 tau)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) 1) (*.f64 (PI.f64) tau))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (cbrt.f64 (/.f64 -1 tau))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1)
(/.f64 (*.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) 1) (neg.f64 (PI.f64)))
(/.f64 (*.f64 -1 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (neg.f64 tau)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 tau))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 -1 (/.f64 1 (PI.f64))) (*.f64 (PI.f64) (neg.f64 tau)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 tau)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 2))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 -1 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1))
(/.f64 -1 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau)) 1))
(/.f64 1 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau)))
(/.f64 (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 tau)) -1) (*.f64 (cbrt.f64 (*.f64 tau tau)) (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 1 (*.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 1) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) -1) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (neg.f64 tau)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 1 tau) tau))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 -1 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau)))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) tau)
(/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 -1 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 (/.f64 1 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (/.f64 1 tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (cbrt.f64 (/.f64 (/.f64 1 tau) tau))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) 1) (neg.f64 tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 1) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau)) (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 2))
(/.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 1) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 tau))
(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 tau)) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (neg.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) -1) tau)
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) 1) (neg.f64 tau))
(/.f64 (/.f64 (/.f64 -1 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (cbrt.f64 (/.f64 -1 tau)) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 tau)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) 3)
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1)
(neg.f64 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 -1 tau) (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)) 1))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 -1 tau)))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) -1))
(neg.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 1 0) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 1 0) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(if (!=.f64 (/.f64 1 tau) 0) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau)) -1) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (/.f64 1 tau) 0) (/.f64 1 (/.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 1 tau))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 2) 0) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (/.f64 tau (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 2))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) 2) 0) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (/.f64 tau (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) 2))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(if (!=.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) 0) (/.f64 1 (/.f64 tau (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
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(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) 2))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 -1 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 -1 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau)) 1))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau)))
(/.f64 (/.f64 1 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 tau))
(/.f64 (*.f64 -1 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)))) (*.f64 (neg.f64 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 tau)) -1) (*.f64 (cbrt.f64 (*.f64 tau tau)) (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 tau)) -1) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (PI.f64))))
(/.f64 1 (*.f64 (neg.f64 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 1 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) 1) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) -1) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (neg.f64 tau)))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 1 tau) tau))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))))))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 -1 (*.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 tau)))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) tau)
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (neg.f64 tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 -1 tau) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 (/.f64 1 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (/.f64 1 tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (cbrt.f64 (/.f64 (/.f64 1 tau) tau))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (PI.f64))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 2)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) 2) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 tau)) (/.f64 (/.f64 1 (PI.f64)) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) 1) (neg.f64 tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 1) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (PI.f64)) tau)) (/.f64 1 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 2))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) 2))
(/.f64 (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) 1) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 tau)) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 tau))) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (neg.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (*.f64 tau tau)) (cbrt.f64 (neg.f64 tau))))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) -1) tau)
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 -1 (*.f64 (PI.f64) (PI.f64))) 1) (neg.f64 tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 -1 tau) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 -1 tau) (*.f64 (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) 1) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) (*.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (cbrt.f64 (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 tau tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 -1 tau)) (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (cbrt.f64 (/.f64 -1 tau)) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 tau tau)) (PI.f64)) (PI.f64))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (PI.f64)) (*.f64 (PI.f64) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 tau)) (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 tau)) (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 -1 tau) (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (neg.f64 (PI.f64)) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 tau) tau) (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (*.f64 (*.f64 tau (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) tau)) (*.f64 (cbrt.f64 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau))) (neg.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau)) (*.f64 (PI.f64) (cbrt.f64 (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 3) 1/3)
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1)
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))) 3)
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) -1)
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 -1 tau) (/.f64 (/.f64 1 (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64)) 1))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 -1 tau)))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) -1))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (/.f64 -1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(/.f64 (neg.f64 -1) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 3))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
✓0.3b
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 77 to 22 computations (71.4% saved)

series49.0ms (0.1%)

Counts
2 → 45
Calls

12 calls:

TimeVariablePointExpression
1.0ms
tau
@0
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
1.0ms
x
@0
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
1.0ms
tau
@0
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))
1.0ms
x
@0
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))
1.0ms
x
@inf
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
Compiler

Compiled 6415 to 3600 computations (43.9% saved)

rewrite164.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
136×egg-rr
112×egg-rr
Counts
2 → 248
Calls
Call 1
Inputs
(/.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)) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
Outputs
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(cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 3))))))

simplify615.0ms (1.5%)

Algorithm
1×egglog
Counts
293 → 374
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (pow.f64 (PI.f64) 2))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 x 5) (pow.f64 (*.f64 tau (PI.f64)) 7)) (pow.f64 (PI.f64) 2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (pow.f64 tau 7)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 2))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 (PI.f64) 2))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 2))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 (PI.f64) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2)))))) (pow.f64 x 6)))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (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)))) (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)))) (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)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 3) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 3) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 5))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 3) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 7) (pow.f64 tau 7))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 5))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)) 0) (/.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 0) (pow.f64 (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) -1) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2))) 0) (/.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 0) (pow.f64 (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) -1) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 0) (/.f64 -1 (/.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (/.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 2)))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
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(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(pow.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))) 3)
(pow.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)) 3) 1/3)
(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)) 1)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))))
(neg.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(neg.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))))
(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)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (pow.f64 (PI.f64) 2))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (*.f64 (PI.f64) (PI.f64))) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (*.f64 (PI.f64) (PI.f64))) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 x 5) (pow.f64 (*.f64 tau (PI.f64)) 7)) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) x) (*.f64 (PI.f64) (PI.f64))) (+.f64 (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 x 3)) (*.f64 (PI.f64) (PI.f64))) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64)))) (/.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 5) (pow.f64 (*.f64 tau (PI.f64)) 7))) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (pow.f64 (/.f64 1 x) 2)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (pow.f64 (/.f64 1 x) 2)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (pow.f64 (/.f64 1 x) 2)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (pow.f64 (/.f64 1 x) 2)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))))))
(+.f64 (/.f64 tau (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (pow.f64 tau 7)) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(+.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 tau 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (fma.f64 1/120 (/.f64 (*.f64 (pow.f64 tau 5) (pow.f64 (*.f64 x (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (*.f64 -1/5040 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 7) (pow.f64 tau 7))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))))))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 2))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 (PI.f64) 2))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (PI.f64) (PI.f64))) (*.f64 1/120 (+.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) (PI.f64))))) (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 2))) (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (pow.f64 (PI.f64) 2))))) (pow.f64 x 4)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (pow.f64 (PI.f64) 2))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (pow.f64 (PI.f64) 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (pow.f64 (PI.f64) 2)))))) (pow.f64 x 6)))))
(+.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (PI.f64) (PI.f64))) (*.f64 1/120 (+.f64 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4) (fma.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (PI.f64) (PI.f64))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (PI.f64) (PI.f64))))) (*.f64 x x) (*.f64 (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (PI.f64) (PI.f64))) (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (PI.f64) (PI.f64))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (PI.f64) (PI.f64))))))) (pow.f64 x 6)))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x)))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 (PI.f64) x))))) (pow.f64 (PI.f64) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
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(/.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) -1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))) 2)
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.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))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)))) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.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))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (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))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64)))))
(pow.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))) 3)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.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)) 3) 1/3)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(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)) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(neg.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(neg.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 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))
(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)) 3))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
✓0.6b
(-.f64 (*.f64 (PI.f64) tau) (PI.f64))
✓9.3b
(-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64)))))
Compiler

Compiled 117 to 29 computations (75.2% saved)

series114.0ms (0.3%)

Counts
3 → 50
Calls

15 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
2.0ms
x
@inf
(-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64)))))
2.0ms
tau
@0
(-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64)))))
2.0ms
tau
@0
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
2.0ms
tau
@-inf
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
Compiler

Compiled 9545 to 4090 computations (57.2% saved)

rewrite366.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
216×egg-rr
86×egg-rr
68×egg-rr
Counts
3 → 370
Calls
Call 1
Inputs
(-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) tau) (PI.f64))
(/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2)) (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) 1 (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 2) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 2)) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (neg.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) 2))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cos.f64 (*.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 -8 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)))) (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2)))) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (sqrt.f64 2))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2))) 1) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 -2 tau))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3))))))

simplify1.9s (4.8%)

Algorithm
1×egglog
Counts
420 → 611
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6)) (*.f64 -1/720 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6))) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6)) (*.f64 -1/720 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 x 8) (-.f64 (*.f64 1/40320 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 8)) (*.f64 1/40320 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 8)))))))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))) (cos.f64 (*.f64 x (PI.f64))))
(-.f64 (+.f64 (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))) (*.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 -1 (*.f64 x (PI.f64))))) tau)) (cos.f64 (*.f64 x (PI.f64))))
(-.f64 (+.f64 (*.f64 (pow.f64 tau 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cos.f64 (*.f64 x (PI.f64))))))) (+.f64 (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))) (*.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 -1 (*.f64 x (PI.f64))))) tau))) (cos.f64 (*.f64 x (PI.f64))))
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (sin.f64 (*.f64 -1 (*.f64 x (PI.f64))))))) (pow.f64 tau 3)) (+.f64 (*.f64 (pow.f64 tau 2) (-.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cos.f64 (*.f64 x (PI.f64))))))) (+.f64 (cos.f64 (*.f64 -1 (*.f64 x (PI.f64)))) (*.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 -1 (*.f64 x (PI.f64))))) tau)))) (cos.f64 (*.f64 x (PI.f64))))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(*.f64 tau (PI.f64))
(*.f64 tau (PI.f64))
(*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/24 (/.f64 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (*.f64 (pow.f64 (PI.f64) 2) tau))))
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(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) tau) 1) (*.f64 2 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 1) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2)) 2))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(/.f64 (*.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2)) 1) (*.f64 (*.f64 tau 2) 1))
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)) 1))
(/.f64 (*.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2))) 1) (*.f64 (cbrt.f64 4) 1))
(/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 -2 tau))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 -2 tau)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))
(/.f64 (neg.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (sqrt.f64 2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))))) (neg.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) -2)
(/.f64 (neg.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2)))) (neg.f64 (cbrt.f64 4)))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (neg.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 2)
(/.f64 (*.f64 (/.f64 -2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2)))) 2)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) 2)
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -8 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)))) (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) 2)
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 1 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2)))) (cbrt.f64 4))
(/.f64 (*.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (sqrt.f64 2))) 1) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (neg.f64 (cbrt.f64 2))) 1) (cbrt.f64 4))
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 -2 tau))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 1)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(neg.f64 (*.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 1/2))
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) 1))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3))
Outputs
(*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2))
(*.f64 (*.f64 -1/2 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 2) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 2))) (*.f64 x x))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2)))
(fma.f64 (*.f64 1/24 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 4) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 4))) (pow.f64 x 4) (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 2) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 2))) (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6)) (*.f64 -1/720 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6))) (pow.f64 x 6)) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2))))
(fma.f64 (*.f64 1/24 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 4) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 4))) (pow.f64 x 4) (fma.f64 (*.f64 -1/720 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 6) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 6))) (pow.f64 x 6) (*.f64 (*.f64 -1/2 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 2) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 2))) (*.f64 x x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/24 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4)) (*.f64 1/24 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 4))) (pow.f64 x 4)) (+.f64 (*.f64 (-.f64 (*.f64 -1/720 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6)) (*.f64 -1/720 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 6))) (pow.f64 x 6)) (+.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2)) (*.f64 -1/2 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 2))) (pow.f64 x 2)) (*.f64 (pow.f64 x 8) (-.f64 (*.f64 1/40320 (pow.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) 8)) (*.f64 1/40320 (pow.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) 8)))))))
(fma.f64 (*.f64 1/24 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 4) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 4))) (pow.f64 x 4) (fma.f64 (*.f64 -1/720 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 6) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 6))) (pow.f64 x 6) (fma.f64 (*.f64 -1/2 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 2) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 2))) (*.f64 x x) (*.f64 (pow.f64 x 8) (*.f64 1/40320 (-.f64 (pow.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) 8) (pow.f64 (fma.f64 (PI.f64) tau (PI.f64)) 8)))))))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (-.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)) (cos.f64 (*.f64 (+.f64 (*.f64 tau (PI.f64)) (PI.f64)) x)))
(-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)))
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(/.f64 (/.f64 (*.f64 -2 (*.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 (sqrt.f64 2) (neg.f64 (sqrt.f64 2))))
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(/.f64 (/.f64 (*.f64 -2 (*.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 (cbrt.f64 4) (neg.f64 (cbrt.f64 2))))
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) 1) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 -2 tau))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(/.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (PI.f64)) x)) (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x))) (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 -2 tau)) (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 3)
(/.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))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3) 1/3)
(/.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))
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (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))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.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))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 -1 tau) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 -1 tau) (+.f64 1 tau)))) 1/2))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))
(neg.f64 (*.f64 (*.f64 -2 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 1/2))
(*.f64 (neg.f64 (/.f64 (*.f64 -2 (*.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)
(neg.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 tau -1) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 tau -1) (+.f64 1 tau)))) 1/2))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (fma.f64 (PI.f64) (+.f64 -1 tau) (fma.f64 (PI.f64) tau (PI.f64)))) 1/2)) (sin.f64 (*.f64 (*.f64 x (*.f64 (PI.f64) (-.f64 (+.f64 -1 tau) (+.f64 1 tau)))) 1/2))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.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))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) 3))
(/.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))

eval1.4s (3.4%)

Compiler

Compiled 103322 to 34943 computations (66.2% saved)

prune1.7s (4.3%)

Pruning

95 alts after pruning (88 fresh and 7 done)

PrunedKeptTotal
New3206453251
Fresh334376
Picked101
Done077
Total3240953335
Error
0.0b
Counts
3335 → 95
Alt Table
Click to see full alt table
StatusErrorProgram
54.5b
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
0.9b
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (/.f64 (PI.f64) (/.f64 1 x))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))
54.5b
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
54.5b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
✓54.5b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
1.8b
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))) 3) (*.f64 x (PI.f64)))
1.9b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
9.9b
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 x (PI.f64)))
9.9b
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 2))) (*.f64 x (PI.f64)))
9.9b
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) 2) (*.f64 x (PI.f64)))
1.1b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)) (PI.f64)) (*.f64 (*.f64 x x) tau))
1.5b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) (PI.f64))
✓1.0b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (*.f64 x x))) (PI.f64))
▶1.1b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
0.9b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 tau (PI.f64))) x)
54.8b
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
8.9b
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
54.5b
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
0.9b
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (PI.f64)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau x)) (*.f64 x (PI.f64)))
1.0b
(/.f64 (/.f64 (*.f64 (/.f64 1 tau) (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
1.0b
(/.f64 (/.f64 (*.f64 (sin.f64 (if (!=.f64 x 0) (/.f64 (*.f64 (PI.f64) tau) (/.f64 1 x)) (*.f64 tau (*.f64 x (PI.f64))))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
1.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 3)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
✓0.8b
(/.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))
✓0.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
0.9b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)) (*.f64 x (*.f64 (*.f64 tau x) (PI.f64))))
0.9b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
54.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
53.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
54.5b
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
54.5b
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
54.5b
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
54.5b
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
▶54.5b
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
10.5b
(/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) 1/2) (*.f64 (*.f64 tau x) (PI.f64))) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) 1/2) (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 x (PI.f64)))
10.8b
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (*.f64 tau 2)) (*.f64 2 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 2 (*.f64 tau 2)))
11.4b
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))))) (*.f64 2 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
10.5b
(/.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cos.f64 (*.f64 x (PI.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))
10.0b
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
10.0b
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
9.9b
(/.f64 (-.f64 (cos.f64 (*.f64 x (*.f64 (PI.f64) (+.f64 tau -1)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
1.8b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 3) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 tau x)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (PI.f64))
✓0.8b
(/.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)
1.7b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) (sin.f64 (*.f64 x (PI.f64)))) tau)
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 tau x))
0.8b
(/.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))
53.8b
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
54.8b
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
53.8b
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
53.8b
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
54.5b
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
2.4b
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2) 2)) tau)
1.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) 2)) (PI.f64))
1.8b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) x)) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) tau) x))
9.6b
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
2.9b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x)))) (PI.f64))
53.8b
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
54.5b
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
54.8b
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
1.1b
(/.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (-.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
54.8b
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
▶54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
54.5b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
54.5b
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
54.5b
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
✓54.5b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
✓54.5b
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
54.5b
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
54.5b
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
54.5b
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
54.5b
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
54.8b
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
54.5b
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
▶0.8b
(*.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))
0.9b
(*.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))))
1.7b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) 2)))
0.9b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 tau x)))
52.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
▶0.8b
(*.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)))
0.9b
(*.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)))
53.8b
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
53.8b
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
1.6b
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) 1)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
2.9b
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))))
Compiler

Compiled 4208 to 2599 computations (38.2% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.5b
(*.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)))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 66 to 18 computations (72.7% saved)

series49.0ms (0.1%)

Counts
2 → 35
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.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)))
1.0ms
x
@0
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
1.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
1.0ms
x
@inf
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
0.0ms
tau
@0
(*.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)))
Compiler

Compiled 5255 to 3000 computations (42.9% saved)

rewrite254.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
279×egg-rr
74×egg-rr
Counts
2 → 353
Calls
Call 1
Inputs
(*.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 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 0) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 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)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 (*.f64 x (PI.f64))) 0) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (sin.f64 (*.f64 x (PI.f64))))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 0) (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)) (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 (*.f64 x (PI.f64))) 0) (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 (*.f64 (neg.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 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) 0) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) 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(/.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)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) tau) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (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 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) 2)) (sin.f64 (*.f64 x (PI.f64)))) 0) (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau)) (/.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) 2)) (sin.f64 (*.f64 x (PI.f64)))))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) 0) (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 0) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau) (neg.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) 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simplify946.0ms (2.3%)

Algorithm
1×egglog
Counts
388 → 498
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
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(*.f64 (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 -1 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(*.f64 (/.f64 1 (*.f64 x (PI.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)) (*.f64 x (PI.f64))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 -1 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 1)
(/.f64 (*.f64 (/.f64 1 (*.f64 x (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (*.f64 x (PI.f64)))
(/.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 x (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 1) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (PI.f64)) x)
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) x) (PI.f64))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (*.f64 (*.f64 x (PI.f64)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (PI.f64))) x)
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) x)) (PI.f64))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (/.f64 1 (*.f64 tau (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 tau (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))))) (pow.f64 x 6))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.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 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 tau (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(fma.f64 -1/6 (/.f64 (*.f64 (*.f64 (*.f64 tau tau) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 3)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64)))))
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(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 -1 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (*.f64 x (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 1 (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (*.f64 x (PI.f64))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 -1 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (/.f64 -1 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 1)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (/.f64 1 (*.f64 x (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.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 x (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (neg.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) 1) (*.f64 x (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 x (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (PI.f64)) x)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) x) (PI.f64))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))) (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 x (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) x) (*.f64 (*.f64 x (PI.f64)) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) (PI.f64))) x)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) x)) (PI.f64))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))) 3)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 3) 1/3)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 1)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(neg.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
Compiler

Compiled 18 to 10 computations (44.4% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x (PI.f64))
✓0.3b
(sin.f64 (*.f64 x (PI.f64)))
0.4b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(sin.f64 (*.f64 x (PI.f64)))
0.0ms
x
@inf
(sin.f64 (*.f64 x (PI.f64)))
0.0ms
x
@-inf
(*.f64 x (PI.f64))
0.0ms
x
@-inf
(sin.f64 (*.f64 x (PI.f64)))
0.0ms
x
@inf
(*.f64 x (PI.f64))
Compiler

Compiled 595 to 270 computations (54.6% saved)

rewrite131.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
56×egg-rr
22×egg-rr
Counts
2 → 78
Calls
Call 1
Inputs
(sin.f64 (*.f64 x (PI.f64)))
(*.f64 x (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 x (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (*.f64 x (PI.f64)))))))
((#(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 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (PI.f64) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x)) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2) (cbrt.f64 (*.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 (*.f64 x x)) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) 1) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 x (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))))))

simplify236.0ms (0.6%)

Algorithm
1×egglog
Counts
98 → 89
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) 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))) 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))) 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 (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 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1))
(*.f64 1 (sin.f64 (*.f64 x (PI.f64))))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(/.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3))
(sin.f64 (*.f64 x (PI.f64)))
(*.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 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) x)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (PI.f64) (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x)) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) 1) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 x (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2))
(*.f64 1 (*.f64 x (PI.f64)))
(*.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 (*.f64 x (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3)
(cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))
Outputs
x
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) 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))) x))
(fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) (fma.f64 (*.f64 1/120 (pow.f64 x 5)) (pow.f64 (PI.f64) 5) 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))) x)))
(fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (PI.f64) 5)) (fma.f64 (*.f64 -1/5040 (pow.f64 x 7)) (pow.f64 (PI.f64) 7) 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 (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 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) 1))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2)))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 2) 2))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64))))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 2) (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))))) 1))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 1 (sin.f64 (*.f64 x (PI.f64))))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(sin.f64 (*.f64 (PI.f64) x))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(sin.f64 (*.f64 (PI.f64) x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3) 1/3)
(sin.f64 (*.f64 (PI.f64) x))
(pow.f64 (sin.f64 (*.f64 x (PI.f64))) 1)
(sin.f64 (*.f64 (PI.f64) x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3)
(sin.f64 (*.f64 (PI.f64) x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x (PI.f64))) 3))
(sin.f64 (*.f64 (PI.f64) x))
(sin.f64 (*.f64 x (PI.f64)))
(sin.f64 (*.f64 (PI.f64) x))
(*.f64 x (PI.f64))
(*.f64 (PI.f64) x)
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 x (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (*.f64 x (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 x (PI.f64)))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x)) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) x)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) x) x) (PI.f64)) (*.f64 (PI.f64) x)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (cbrt.f64 x))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x)))) (*.f64 (PI.f64) (cbrt.f64 x))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 x))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 x))) 2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (PI.f64) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)) (pow.f64 (*.f64 (PI.f64) x) 2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x)) (PI.f64))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64)))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x) (cbrt.f64 (PI.f64)))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 x)))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 2) (*.f64 x (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64)))) (*.f64 (*.f64 x (cbrt.f64 (PI.f64))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 x (PI.f64))))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 2) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) 1) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 x x)))))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2)) (cbrt.f64 (*.f64 x x))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (PI.f64))))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) x)))
(*.f64 (PI.f64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 x (cbrt.f64 (PI.f64))))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) 2))
(*.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 x (cbrt.f64 (*.f64 x x))))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(*.f64 1 (*.f64 x (PI.f64)))
(*.f64 (PI.f64) x)
(*.f64 (*.f64 x (PI.f64)) 1)
(*.f64 (PI.f64) x)
(/.f64 (*.f64 x (PI.f64)) 1)
(*.f64 (PI.f64) x)
(pow.f64 (pow.f64 (*.f64 x (PI.f64)) 3) 1/3)
(*.f64 (PI.f64) x)
(pow.f64 (*.f64 x (PI.f64)) 1)
(*.f64 (PI.f64) x)
(pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3)
(*.f64 (PI.f64) x)
(cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 3))
(*.f64 (PI.f64) x)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.5b
(*.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))
0.6b
(pow.f64 (*.f64 x (PI.f64)) 2)
Compiler

Compiled 66 to 18 computations (72.7% saved)

series49.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
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))
1.0ms
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
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))
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))
0.0ms
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))
Compiler

Compiled 4165 to 2280 computations (45.3% saved)

rewrite235.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
241×egg-rr
Counts
1 → 241
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
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(cbrt.f64 (*.f64 x (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (neg.f64 tau))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))) 1) (cbrt.f64 (*.f64 tau tau)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x 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(pow.f64 (*.f64 x (PI.f64)) 2) tau))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.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 neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.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))) (neg.f64 tau))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 3))))))

simplify818.0ms (2%)

Algorithm
1×egglog
Counts
265 → 358
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(/.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 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 tau 2) (*.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 (PI.f64) x) 3))) (*.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 (PI.f64) x) 5) (pow.f64 tau 4))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))) (+.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2))) (*.f64 -1/5040 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 7) (pow.f64 tau 6))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 x 2)))))))
(/.f64 (*.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))) (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 (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 (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 (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)))
(if (!=.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 0) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.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)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))
(if (!=.f64 (sin.f64 (*.f64 x (PI.f64))) 0) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)) (/.f64 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)))
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(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64)))) (*.f64 (neg.f64 x) (PI.f64)))
(/.f64 (neg.f64 (neg.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 (neg.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau))))
(/.f64 (neg.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)))) (neg.f64 (cbrt.f64 (*.f64 tau tau))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(/.f64 (neg.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 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 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) (cbrt.f64 tau))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) -1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) -1) (neg.f64 tau))
(/.f64 (*.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)))) (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 tau))
(/.f64 (*.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)))) tau))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 tau))) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 1) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(/.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (neg.f64 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) (cbrt.f64 tau))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) (*.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 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))) tau))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) 2)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 tau))
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 (PI.f64) tau) (PI.f64)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (/.f64 1 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) 2)
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 tau)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (*.f64 tau tau)))
(/.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))) (cbrt.f64 (*.f64 tau tau)))) (cbrt.f64 tau))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) -1)) (neg.f64 tau))
(/.f64 (*.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))) (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 tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 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))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (neg.f64 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) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 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) (cbrt.f64 tau))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 tau))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) -1) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(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)
(pow.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) 1/3)
(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)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 tau)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)))
(neg.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))) (neg.f64 tau))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(neg.f64 (/.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)))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(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)) 3))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)))
(fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (*.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4)))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.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 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (PI.f64) 2) tau))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (PI.f64) 2) tau))) (+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (PI.f64) 2) tau))) (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 2) tau)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (/.f64 1 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 1/120 (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)))) (pow.f64 x 4) (*.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) (/.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))))) (pow.f64 x 6))))
(/.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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) 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))
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(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (pow.f64 (*.f64 x (PI.f64)) 2) -1)) (neg.f64 tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(/.f64 (*.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))) (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 tau))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau) 2) (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)))) (cbrt.f64 tau))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) 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))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) tau) (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau) 2))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) tau) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 (*.f64 (neg.f64 x) (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau)) 1) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)) (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))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) tau) (*.f64 x (PI.f64))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 x (cbrt.f64 (PI.f64)))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (*.f64 (PI.f64) (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) tau) (*.f64 x (PI.f64))) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (PI.f64) (cbrt.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x (PI.f64))) (cbrt.f64 (*.f64 x (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))) tau))
(/.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2))) 1) (neg.f64 tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 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) (cbrt.f64 tau))) (cbrt.f64 tau)) (cbrt.f64 tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (cbrt.f64 (*.f64 tau tau))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 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) (cbrt.f64 tau))) 1) (cbrt.f64 (*.f64 tau tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (cbrt.f64 (*.f64 tau tau))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 tau)))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))) tau))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)) (cbrt.f64 (*.f64 tau tau))) (cbrt.f64 tau))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) (*.f64 (cbrt.f64 tau) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) -1) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))) (neg.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 x (PI.f64)))) (*.f64 (cbrt.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 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(pow.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) 1/3)
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(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 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (neg.f64 tau)) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.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))) (neg.f64 tau))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (/.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 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (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)) 3))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
0.4b
(sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))
✓0.6b
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))
✓0.7b
(pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3)
Compiler

Compiled 114 to 25 computations (78.1% saved)

series109.0ms (0.3%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
5.0ms
tau
@inf
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
3.0ms
tau
@0
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
3.0ms
x
@0
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
3.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))
2.0ms
tau
@-inf
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
Compiler

Compiled 7445 to 4470 computations (40% saved)

rewrite221.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
279×egg-rr
45×egg-rr
41×egg-rr
Counts
3 → 365
Calls
Call 1
Inputs
(pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))) (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (PI.f64)) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (PI.f64)) x) (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2) (*.f64 (*.f64 x (PI.f64)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2) (*.f64 x (PI.f64))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 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simplify833.0ms (2.1%)

Algorithm
1×egglog
Counts
397 → 509
Calls
Call 1
Inputs
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 2) (*.f64 (pow.f64 (pow.f64 x 2) 2) (PI.f64)))) 1/3) (PI.f64)))
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(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (neg.f64 tau)) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) (neg.f64 tau)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) tau))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) (*.f64 (PI.f64) (neg.f64 tau)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (neg.f64 tau))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) -2))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 (PI.f64)) (*.f64 (neg.f64 x) (*.f64 x (PI.f64)))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)))
(/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) tau) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (cbrt.f64 tau)) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (cbrt.f64 (*.f64 tau tau))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 x (PI.f64)) x))) (*.f64 (neg.f64 (PI.f64)) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (neg.f64 tau))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64)))))) (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) (neg.f64 tau)) (PI.f64)))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) x) tau) 2) (PI.f64)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 (neg.f64 x) (*.f64 x (PI.f64))) (neg.f64 (PI.f64))))
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (*.f64 (*.f64 tau 2) (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (neg.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) (neg.f64 tau)) 1))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (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)))) (neg.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (neg.f64 tau))))
(pow.f64 (/.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)) 1)
(pow.f64 (pow.f64 (/.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)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.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))) 3)
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 x) (*.f64 x (PI.f64)))) (/.f64 1 (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 x) (*.f64 x (PI.f64))))))
(neg.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) (neg.f64 tau))))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(cbrt.f64 (pow.f64 (/.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)) 3))
Outputs
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (*.f64 (pow.f64 x 6) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (*.f64 (pow.f64 x 6) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (*.f64 (pow.f64 x 6) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 x 6) (PI.f64)))
(*.f64 (*.f64 (pow.f64 x 6) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (pow.f64 x 2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 x x))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))) (*.f64 x x)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 2))))
(+.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (*.f64 1/36 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))) (pow.f64 x 4) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))) (*.f64 x x))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (+.f64 (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 1/36 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))))) (pow.f64 x 4)) (*.f64 (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))) (*.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64)))))) (pow.f64 x 2)))))
(+.f64 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (fma.f64 (fma.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (fma.f64 -1/5040 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 7) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (*.f64 -1/720 (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (*.f64 tau (PI.f64)) 3)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 5)) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))))) (pow.f64 x 6) (fma.f64 (fma.f64 1/120 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 5) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (*.f64 1/36 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 tau (PI.f64)) 3))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))) (pow.f64 x 4) (*.f64 (*.f64 -1/6 (+.f64 (/.f64 (pow.f64 (*.f64 tau (PI.f64)) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64)))))) (*.f64 x x)))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
(/.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 (*.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/3) (*.f64 tau (PI.f64))))
(/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) 2) (sin.f64 (*.f64 x (PI.f64)))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 tau (PI.f64))))
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(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (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)))) (neg.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (neg.f64 tau))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(pow.f64 (/.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)) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(pow.f64 (pow.f64 (/.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)) 3) 1/3)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(pow.f64 (cbrt.f64 (/.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))) 3)
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (neg.f64 (pow.f64 (*.f64 x (PI.f64)) 2))) 1))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (/.f64 1 (pow.f64 (*.f64 x (PI.f64)) 2))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 x) (*.f64 x (PI.f64)))) (/.f64 1 (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x (PI.f64))) tau)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (neg.f64 x) (*.f64 x (PI.f64))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x (PI.f64))) tau)) (PI.f64)))
(neg.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) (neg.f64 tau))))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (neg.f64 tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(cbrt.f64 (pow.f64 (/.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)) 3))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))

eval650.0ms (1.6%)

Compiler

Compiled 67925 to 18450 computations (72.8% saved)

prune841.0ms (2.1%)

Pruning

104 alts after pruning (94 fresh and 10 done)

PrunedKeptTotal
New2116232139
Fresh127183
Picked101
Done11011
Total21301042234
Error
0.0b
Counts
2234 → 104
Alt Table
Click to see full alt table
StatusErrorProgram
54.5b
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
0.9b
(if (!=.f64 (/.f64 1 x) 0) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (/.f64 (PI.f64) (/.f64 1 x))) (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))))
54.5b
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
54.5b
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
✓54.5b
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
54.4b
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
1.8b
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64)))) 3) (*.f64 x (PI.f64)))
54.8b
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
1.9b
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 3) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
9.9b
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 x (PI.f64)))
9.9b
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 2))) (*.f64 x (PI.f64)))
9.9b
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x)))) (*.f64 (*.f64 tau x) (PI.f64))) 2) (*.f64 x (PI.f64)))
1.1b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (PI.f64)) (PI.f64)) (*.f64 (*.f64 x x) tau))
1.5b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) (PI.f64))
1.0b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (PI.f64) (PI.f64))) (*.f64 x x))
0.9b
(/.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64))) (*.f64 tau (PI.f64))) x)
8.9b
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
54.5b
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
0.9b
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (PI.f64)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 tau x)) (*.f64 x (PI.f64)))
1.0b
(/.f64 (/.f64 (*.f64 (/.f64 1 tau) (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
1.0b
(/.f64 (/.f64 (*.f64 (sin.f64 (if (!=.f64 x 0) (/.f64 (*.f64 (PI.f64) tau) (/.f64 1 x)) (*.f64 tau (*.f64 x (PI.f64))))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
1.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 tau x) (PI.f64))) 3)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
✓0.8b
(/.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))
✓0.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 x (PI.f64)))
0.9b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
54.8b
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
53.8b
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
54.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
54.8b
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
54.5b
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
54.5b
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
54.5b
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
54.5b
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
✓54.5b
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
10.5b
(/.f64 (-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 x (-.f64 (*.f64 tau (PI.f64)) (PI.f64)))) 1/2) (*.f64 (*.f64 tau x) (PI.f64))) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (fma.f64 tau x x))) 1/2) (*.f64 (*.f64 tau x) (PI.f64)))) (*.f64 x (PI.f64)))
10.8b
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (*.f64 tau 2)) (*.f64 2 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (pow.f64 (*.f64 x (PI.f64)) 2)))) (*.f64 2 (*.f64 tau 2)))
11.4b
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))))) (*.f64 2 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
10.5b
(/.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cos.f64 (*.f64 x (PI.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))
10.0b
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (*.f64 (PI.f64) (cbrt.f64 tau)) (cbrt.f64 (*.f64 tau tau)) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
10.0b
(/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) tau) (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
9.9b
(/.f64 (-.f64 (cos.f64 (*.f64 x (*.f64 (PI.f64) (+.f64 tau -1)))) (cos.f64 (*.f64 x (+.f64 (*.f64 (PI.f64) tau) (PI.f64))))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau) 2))
54.4b
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
54.8b
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
1.8b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))) 3) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (*.f64 tau x)) x) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64))) (PI.f64))
✓0.8b
(/.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)
1.7b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 x)) 2) (cbrt.f64 (pow.f64 x 4)))) (sin.f64 (*.f64 x (PI.f64)))) tau)
0.9b
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))) (*.f64 tau x))
0.8b
(/.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))
53.8b
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
53.8b
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
53.8b
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
54.5b
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
2.4b
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2) 2)) tau)
1.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) 2)) (PI.f64))
1.8b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
0.9b
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
9.6b
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
2.9b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 x x)))) (PI.f64))
53.8b
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
54.5b
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
1.1b
(/.f64 (*.f64 -2 (*.f64 (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (+.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 x (PI.f64)) (-.f64 (+.f64 tau -1) (+.f64 tau 1))) 1/2)))) (*.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) 2) tau))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
✓54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
54.8b
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
54.2b
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
54.5b
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
54.5b
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
54.5b
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
54.5b
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
54.2b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
✓54.5b
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
✓54.5b
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
54.5b
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
54.5b
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
54.5b
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
0.9b
(*.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))))
0.9b
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
54.5b
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
54.5b
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
✓0.8b
(*.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))
0.9b
(*.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))))
1.7b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) x)) 2)))
0.9b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 tau x)))
52.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
1.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))) 3))
✓0.8b
(*.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)))
52.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
52.6b
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
0.9b
(*.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)))
53.8b
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
54.8b
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
53.8b
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
53.8b
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
53.8b
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
1.6b
(*.f64 (*.f64 (/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) (PI.f64)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) x)) 2) 1)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
2.9b
(*.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (PI.f64))) 2) (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))))
Compiler

Compiled 2297 to 1441 computations (37.3% saved)

regimes552.0ms (1.4%)

Counts
185 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.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 (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 (*.f64 x (PI.f64)) tau)) tau) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
(*.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 (PI.f64) x)) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (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))
(/.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 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (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)))) 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)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
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(/.f64 (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) (cbrt.f64 2)) (cbrt.f64 2)) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (-.f64 (cos.f64 (*.f64 (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))) x)) (-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (cos.f64 (*.f64 x (PI.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 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 x (PI.f64)))) 2) (/.f64 (/.f64 1 x) (*.f64 (PI.f64) tau))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 x (cbrt.f64 (PI.f64)))) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) 2)))
(/.f64 (/.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (sin.f64 (*.f64 tau (*.f64 x (PI.f64))))) 2) (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))))) (cbrt.f64 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (*.f64 (*.f64 x (PI.f64)) (cbrt.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) 2) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (PI.f64)) tau) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2) 2) (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 tau (*.f64 x (PI.f64)))))) 2))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))) 2) 2) (cbrt.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau))))) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (*.f64 (PI.f64) tau))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))) (cbrt.f64 (pow.f64 (-.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64))))) 2))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2)))
(/.f64 (-.f64 (*.f64 (/.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (neg.f64 (PI.f64))))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))) (*.f64 2 (*.f64 (cos.f64 (*.f64 x (fma.f64 (PI.f64) tau (PI.f64)))) (cbrt.f64 (/.f64 1/2 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau)))))) (*.f64 2 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) (*.f64 tau 2)) 2))))
(/.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))))) 2) 2)) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (pow.f64 (*.f64 x (PI.f64)) 2)))) 2) 2)) tau)
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (sin.f64 (*.f64 x (PI.f64)))) tau) (*.f64 (*.f64 x (PI.f64)) x)) 2))) 2)) (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))))
Calls

4 calls:

172.0ms
tau
112.0ms
(*.f64 x (PI.f64))
102.0ms
(*.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))))
101.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
0.7b1tau
0.7b1(*.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))))
0.7b1(*.f64 x (PI.f64))
Compiler

Compiled 4024 to 1317 computations (67.3% saved)

regimes179.0ms (0.4%)

Counts
96 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.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 (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 (*.f64 x (PI.f64)) tau)) tau) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
(*.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 (PI.f64) x)) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (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))
(/.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 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (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)))) 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)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 tau x)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 x (PI.f64)) tau)))
Calls

3 calls:

62.0ms
tau
48.0ms
x
44.0ms
(*.f64 x (PI.f64))
Results
ErrorSegmentsBranch
0.7b1x
0.7b1tau
0.7b1(*.f64 x (PI.f64))
Compiler

Compiled 1291 to 518 computations (59.9% saved)

regimes218.0ms (0.5%)

Counts
94 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.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 (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 (*.f64 x (PI.f64)) tau)) tau) (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64))))
(*.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 (PI.f64) x)) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (*.f64 (pow.f64 (*.f64 (PI.f64) x) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau x) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x)) (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))
(/.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 x (PI.f64))) (sin.f64 (*.f64 (*.f64 tau (PI.f64)) x))) (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)))) 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)))) (pow.f64 (*.f64 x (PI.f64)) 2)) tau)
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:

99.0ms
tau
50.0ms
(*.f64 x (PI.f64))
45.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
0.8b1tau
0.8b1(*.f64 x (PI.f64))
Compiler

Compiled 1249 to 514 computations (58.8% saved)

regimes180.0ms (0.4%)

Counts
79 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
(*.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 tau (pow.f64 (*.f64 x (PI.f64)) 2))) (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)))
Calls

3 calls:

54.0ms
x
49.0ms
tau
39.0ms
(*.f64 x (PI.f64))
Results
ErrorSegmentsBranch
0.9b1x
0.9b1tau
0.9b1(*.f64 x (PI.f64))
Compiler

Compiled 964 to 441 computations (54.3% saved)

regimes130.0ms (0.3%)

Counts
77 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)))
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) (*.f64 x (PI.f64))) (/.f64 1 (*.f64 tau (PI.f64))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x (PI.f64))) tau) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) tau)
(/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (sin.f64 (*.f64 (PI.f64) x))) (pow.f64 (PI.f64) 2))
(/.f64 (fma.f64 -1/6 (pow.f64 (*.f64 (PI.f64) x) 3) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 x 3))) x) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (PI.f64)) 2)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (PI.f64))) 3) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x (PI.f64)))) 3) (pow.f64 (*.f64 x (PI.f64)) 2))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 (*.f64 x (PI.f64)) tau)) tau) (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))))
Calls

3 calls:

43.0ms
(*.f64 x (PI.f64))
35.0ms
x
34.0ms
tau
Results
ErrorSegmentsBranch
52.6b1x
52.6b1tau
52.6b1(*.f64 x (PI.f64))
Compiler

Compiled 926 to 431 computations (53.5% saved)

regimes168.0ms (0.4%)

Counts
67 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (PI.f64) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x tau) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2)))
(*.f64 (/.f64 (/.f64 1 x) (PI.f64)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
(/.f64 (*.f64 tau (sin.f64 (*.f64 (PI.f64) x))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (*.f64 (/.f64 1 (*.f64 (*.f64 x (PI.f64)) (PI.f64))) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 tau (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2)) (sin.f64 (*.f64 x (PI.f64)))) tau)
(/.f64 (/.f64 (*.f64 x (sin.f64 (*.f64 x (PI.f64)))) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(*.f64 (/.f64 tau (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) tau))
(*.f64 (/.f64 x (*.f64 (*.f64 x (PI.f64)) tau)) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
Outputs
(*.f64 (/.f64 1 (*.f64 tau (PI.f64))) (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))))
Calls

3 calls:

65.0ms
x
34.0ms
(*.f64 x (PI.f64))
29.0ms
tau
Results
ErrorSegmentsBranch
53.8b1x
53.8b1tau
53.8b1(*.f64 x (PI.f64))
Compiler

Compiled 778 to 369 computations (52.6% saved)

regimes126.0ms (0.3%)

Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
(/.f64 x (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 tau (PI.f64)))
(/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau))
(/.f64 (/.f64 1 (*.f64 tau (PI.f64))) (PI.f64))
(/.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (PI.f64))
(/.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (PI.f64))
(*.f64 (/.f64 1 (*.f64 (PI.f64) (PI.f64))) (/.f64 1 tau))
(*.f64 (/.f64 (/.f64 1 tau) (PI.f64)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) tau) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (PI.f64)) (/.f64 1 tau))
(/.f64 (/.f64 x (*.f64 (PI.f64) tau)) (*.f64 x (PI.f64)))
(/.f64 (*.f64 (/.f64 1 tau) (/.f64 -1 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 -1 tau)) (neg.f64 (PI.f64)))
(-.f64 1/3 (+.f64 1/3 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 1/2 (+.f64 1/2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 1 (+.f64 1 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 2 (+.f64 2 (/.f64 -1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))))
(-.f64 2 (+.f64 2 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 4 (+.f64 4 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 6 (+.f64 6 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 -1 tau) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 9 (+.f64 9 (/.f64 (/.f64 (/.f64 -1 tau) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 x (PI.f64)) 2) tau))
(/.f64 (/.f64 (*.f64 x x) tau) (pow.f64 (*.f64 x (PI.f64)) 2))
(/.f64 1 (*.f64 (if (!=.f64 (PI.f64) 0) (/.f64 tau (/.f64 1 (PI.f64))) (*.f64 (PI.f64) tau)) (PI.f64)))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64))))
(if (!=.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (/.f64 1 (PI.f64)) (/.f64 tau (/.f64 1 (PI.f64)))) (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (*.f64 tau (PI.f64))) 3) (PI.f64)))
(/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau)) 3))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (pow.f64 (*.f64 x (PI.f64)) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 tau) (*.f64 (PI.f64) (PI.f64)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau))) 3)
(/.f64 1 (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) tau) 3) 1/3))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (cbrt.f64 tau) (PI.f64)) 2)) (cbrt.f64 tau))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 (PI.f64)) (*.f64 (PI.f64) tau)) 1/3) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 tau)) 3) (/.f64 -1 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x x) (PI.f64)) (PI.f64)))
(/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 (*.f64 (*.f64 x (PI.f64)) (PI.f64)) x))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 x x) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (sin.f64 (*.f64 (PI.f64) x)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 x x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (PI.f64)) (*.f64 (*.f64 x (PI.f64)) x))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x (PI.f64))) (*.f64 x (PI.f64)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x (PI.f64))) (*.f64 x x)) (PI.f64)) (PI.f64))
Outputs
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) x))
Calls

3 calls:

29.0ms
(*.f64 x (PI.f64))
26.0ms
tau
25.0ms
x
Results
ErrorSegmentsBranch
54.2b1x
54.2b1tau
54.2b1(*.f64 x (PI.f64))
Compiler

Compiled 564 to 304 computations (46.1% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
(/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) tau))
Outputs
(/.f64 1 (*.f64 (*.f64 tau (PI.f64)) (PI.f64)))
Calls

2 calls:

3.0ms
tau
3.0ms
x
Results
ErrorSegmentsBranch
54.5b1x
54.5b1tau
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify3.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 140 to 80 computations (42.9% saved)

soundness0.0ms (0%)

end58.0ms (0.1%)

Compiler

Compiled 126 to 39 computations (69% saved)

Profiling

Loading profile data...