Details

Time bar (total: 1.4min)

analyze74.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
50%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
75%0%0%100%0%0%0%7
75%0%0%100%0%0%0%8
87.5%0%0%100%0%0%0%9
87.5%0%0%100%0%0%0%10
87.5%0%0%100%0%0%0%11
93.8%0%0%100%0%0%0%12
Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.3s (1.6%)

Results
1.3s8256×body256valid
Bogosity

preprocess3.0s (3.7%)

Algorithm
egglog
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 cosTheta_i (-.f64 1 cosTheta_i))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 cosTheta_i)))
(*.f64 (sqrt.f64 (/.f64 u2 (-.f64 1 u2))) (cos.f64 (*.f64 314159265359/50000000000 u1)))
Outputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 u2 314159265359/50000000000)))
(*.f64 (sqrt.f64 (/.f64 cosTheta_i (-.f64 1 cosTheta_i))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 cosTheta_i (-.f64 1 cosTheta_i))) (cos.f64 (*.f64 u2 314159265359/50000000000)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 cosTheta_i)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 cosTheta_i 314159265359/50000000000)))
(*.f64 (sqrt.f64 (/.f64 u2 (-.f64 1 u2))) (cos.f64 (*.f64 314159265359/50000000000 u1)))
(*.f64 (sqrt.f64 (/.f64 u2 (-.f64 1 u2))) (cos.f64 (*.f64 u1 314159265359/50000000000)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify1.5s (1.9%)

Algorithm
egglog
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

eval1.0ms (0%)

Compiler

Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 314159265359/50000000000 u2)
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

series87.0ms (0.1%)

Counts
4 → 16
Calls

15 calls:

TimeVariablePointExpression
2.0ms
u2
@inf
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
2.0ms
u1
@0
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u2
@0
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 5100 to 4260 computations (16.5% saved)

rewrite1.6s (1.9%)

Algorithm
batch-egg-rewrite
Rules
79×egg-rr
24×egg-rr
23×egg-rr
23×egg-rr
Counts
4 → 149
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 u1 (-.f64 1 u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 314159265359/50000000000 u2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 u1)) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (+.f64 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 u1) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 u1 (-.f64 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))))) 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 u2) (*.f64 (cbrt.f64 (pow.f64 u2 2)) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 314159265359/50000000000) (*.f64 (sqrt.f64 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 314159265359/50000000000) u2) (sqrt.f64 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 u2 (cbrt.f64 314159265359/50000000000)) (cbrt.f64 98696044010906577398881/2500000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 u2 2)) 314159265359/50000000000) (cbrt.f64 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (*.f64 u2 (cbrt.f64 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (pow.f64 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 314159265359/50000000000 (cbrt.f64 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (pow.f64 u2 2))) (cbrt.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 314159265359/50000000000 (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 314159265359/50000000000) (*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2) (cbrt.f64 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 314159265359/50000000000 u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 314159265359/50000000000 u2) 0) (/.f64 1 (pow.f64 (*.f64 314159265359/50000000000 u2) -1)) (*.f64 314159265359/50000000000 u2))))))

simplify3.0s (3.7%)

Algorithm
egglog
Counts
165 → 198
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(*.f64 (neg.f64 (cbrt.f64 u1)) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (+.f64 u1 -1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 u1) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(*.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(*.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (pow.f64 u1 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(*.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)))
(*.f64 (neg.f64 (cbrt.f64 u1)) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 u1 2))) (-.f64 1 u1)))
(*.f64 (cbrt.f64 (/.f64 u1 (+.f64 u1 -1))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 u1 -1))) (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(*.f64 (cbrt.f64 (/.f64 u1 (+.f64 u1 -1))) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)))))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 u1 -1))))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 u1 -1)) 2)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 u1 -1))) (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)) (cbrt.f64 u1))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 u1 2))) (/.f64 (cbrt.f64 u1) (+.f64 u1 -1)))
(*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))) -1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 u1 -1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(*.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 (-.f64 1 u1))))
(*.f64 (neg.f64 u1) (/.f64 1 (+.f64 u1 -1)))
(*.f64 u1 (/.f64 -1 (+.f64 u1 -1)))
(*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)
(*.f64 -1 (/.f64 u1 (+.f64 u1 -1)))
(*.f64 (/.f64 1 (+.f64 u1 -1)) (neg.f64 u1))
(-.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))
(-.f64 0 (/.f64 u1 (+.f64 u1 -1)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 u1 -1))) u1) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 u1 2))) (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2)) 2)))
(/.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 (*.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (neg.f64 (cbrt.f64 u1))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 u1)) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(/.f64 (cbrt.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) u1)) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (cbrt.f64 (*.f64 u1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (cbrt.f64 (*.f64 (neg.f64 u1) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (neg.f64 u1))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (neg.f64 u1) (+.f64 u1 -1))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 u1 -1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 u1 -1) 2))))
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(neg.f64 (/.f64 u1 (+.f64 u1 -1)))
(neg.f64 (-.f64 (/.f64 u1 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))))
(neg.f64 (-.f64 (/.f64 u1 (+.f64 u1 -1)) 0))
(neg.f64 (*.f64 (/.f64 1 (+.f64 u1 -1)) u1))
(neg.f64 (*.f64 (/.f64 u1 (-.f64 1 u1)) -1))
(neg.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) (neg.f64 u1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (*.f64 u1 (+.f64 1 (fma.f64 u1 u1 u1))) (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (-.f64 -1 (fma.f64 u1 u1 u1)) 0) (*.f64 (/.f64 u1 (+.f64 -1 (pow.f64 u1 3))) (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 u1) 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 u1 2))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (+.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 0 (/.f64 u1 (+.f64 u1 -1))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (+.f64 0 (/.f64 u1 (+.f64 u1 -1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (+.f64 u1 -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (+.f64 u1 -1)) 3) (pow.f64 (/.f64 u1 (+.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))) (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (+.f64 u1 -1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))) (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (+.f64 u1 -1)) 3) (pow.f64 (/.f64 u1 (+.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))) (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 u1 -1))))) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 0 (+.f64 u1 -1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (+.f64 u1 -1)) 3) (pow.f64 (/.f64 u1 (+.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 0 (+.f64 u1 -1))) (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 u1 -1)))))) (/.f64 u1 (-.f64 1 u1)))
(+.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (-.f64 1 u1)))
(+.f64 0 (/.f64 u1 (-.f64 1 u1)))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 314159265359/50000000000)
(*.f64 (cbrt.f64 u2) (*.f64 (cbrt.f64 (pow.f64 u2 2)) 314159265359/50000000000))
(*.f64 (sqrt.f64 314159265359/50000000000) (*.f64 (sqrt.f64 314159265359/50000000000) u2))
(*.f64 (*.f64 (sqrt.f64 314159265359/50000000000) u2) (sqrt.f64 314159265359/50000000000))
(*.f64 (*.f64 u2 (cbrt.f64 314159265359/50000000000)) (cbrt.f64 98696044010906577398881/2500000000000000000000))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 u2 2)) 314159265359/50000000000) (cbrt.f64 u2))
(*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (*.f64 u2 (cbrt.f64 314159265359/50000000000)))
(*.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (pow.f64 u2 2))))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 314159265359/50000000000 (cbrt.f64 u2)))
(*.f64 (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (pow.f64 u2 2))) (cbrt.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 314159265359/50000000000 (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 1 (*.f64 314159265359/50000000000 u2))
(*.f64 (*.f64 314159265359/50000000000 u2) 1)
(*.f64 (cbrt.f64 314159265359/50000000000) (*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2))
(*.f64 (*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2) (cbrt.f64 314159265359/50000000000))
(/.f64 (*.f64 314159265359/50000000000 u2) 1)
(pow.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) 3)
(pow.f64 (*.f64 314159265359/50000000000 u2) 1)
(pow.f64 (*.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))
(neg.f64 (*.f64 (*.f64 314159265359/50000000000 u2) -1))
(if (!=.f64 (*.f64 314159265359/50000000000 u2) 0) (/.f64 1 (pow.f64 (*.f64 314159265359/50000000000 u2) -1)) (*.f64 314159265359/50000000000 u2))
Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)))))
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(if (!=.f64 (*.f64 u2 314159265359/50000000000) 0) (pow.f64 (/.f64 1 (*.f64 u2 314159265359/50000000000)) -1) (*.f64 u2 314159265359/50000000000))

eval80.0ms (0.1%)

Compiler

Compiled 4207 to 3193 computations (24.1% saved)

prune56.0ms (0.1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New17523198
Fresh000
Picked011
Done000
Total17524199
Error
0.0b
Counts
199 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
3.1b
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
9.1b
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
13.9b
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
0.5b
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.5b
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.9b
(*.f64 (sqrt.f64 (fma.f64 u1 u1 u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0b
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
13.9b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))))
0.6b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 u2 314159265359/50000000000))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 u2 314159265359/50000000000)) 2))))
0.4b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
15.3b
(*.f64 (sqrt.f64 (+.f64 u1 (*.f64 u1 (fma.f64 u1 u1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
36.1b
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
25.6b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.7b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Compiler

Compiled 926 to 729 computations (21.3% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 314159265359/50000000000 u2)
0.1b
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 42 to 30 computations (28.6% saved)

series45.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u1
@0
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u2
@inf
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u1
@-inf
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u2
@-inf
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 5000 to 4150 computations (17% saved)

rewrite1.5s (1.9%)

Algorithm
batch-egg-rewrite
Rules
21×egg-rr
18×egg-rr
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))

simplify2.1s (2.5%)

Algorithm
egglog
Counts
51 → 47
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(-.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 -1 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (-.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 -1 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize15.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
Compiler

Compiled 19 to 13 computations (31.6% saved)

localize95.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.3b
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
Compiler

Compiled 104 to 76 computations (26.9% saved)

series49.0ms (0.1%)

Counts
2 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u2
@0
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
2.0ms
u1
@-inf
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
2.0ms
u1
@0
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@0
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
Compiler

Compiled 3290 to 2680 computations (18.5% saved)

rewrite1.5s (1.8%)

Algorithm
batch-egg-rewrite
Rules
49×egg-rr
27×egg-rr
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 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simplify2.5s (3%)

Algorithm
egglog
Counts
88 → 99
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (+.f64 (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))) (*.f64 3/8 (/.f64 (pow.f64 u1 2) (pow.f64 u1 -1/2)))))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (+.f64 (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 u1 3) (pow.f64 u1 -1/2))) (*.f64 3/8 (/.f64 (pow.f64 u1 2) (pow.f64 u1 -1/2))))))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 2))))
(+.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 2))) (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 4)))))
(+.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 2))) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 6))) (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 4))))))
(*.f64 1 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(*.f64 -1 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 1)
(*.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) -1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
(-.f64 0 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 2)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 2))))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)) -1) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2)) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) -1))
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
(/.f64 1 (pow.f64 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) -1) 3))
(/.f64 -1 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
(/.f64 -1 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) -1) 3))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 2)))
(/.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 1)
(/.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) -1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 1)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 3))
(neg.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))
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(neg.f64 (-.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) 0))
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(if (!=.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 3) (+.f64 0 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 0 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) 3) (pow.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 0 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))))) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 3) (+.f64 0 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 0 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(if (!=.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) 3) (pow.f64 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))) (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(if (!=.f64 0 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 3) (+.f64 0 (+.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) 2) (*.f64 0 (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)))))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(+.f64 (/.f64 0 (neg.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(+.f64 0 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cbrt.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 1 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 -1 (neg.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 -1 (*.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(*.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(-.f64 0 (neg.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(-.f64 0 (*.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(/.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(neg.f64 (*.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(neg.f64 (neg.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) 3))
(if (!=.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1) (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
Outputs
(/.f64 1 (pow.f64 u1 -1/2))
(pow.f64 (pow.f64 u1 -1/2) -1)
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (+.f64 (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))) (*.f64 3/8 (/.f64 (pow.f64 u1 2) (pow.f64 u1 -1/2)))))
(+.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (/.f64 (+.f64 (*.f64 1/2 u1) (*.f64 3/8 (*.f64 u1 u1))) (pow.f64 u1 -1/2)))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (+.f64 (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 u1 3) (pow.f64 u1 -1/2))) (*.f64 3/8 (/.f64 (pow.f64 u1 2) (pow.f64 u1 -1/2))))))
(+.f64 (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (/.f64 (+.f64 (*.f64 5/16 (pow.f64 u1 3)) (*.f64 3/8 (*.f64 u1 u1))) (pow.f64 u1 -1/2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 2))))
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(if (!=.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1) (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 (/.f64 1 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1) (*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 u1 (-.f64 u1 1))
0.3b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)
0.5b
(/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1)))
Compiler

Compiled 144 to 101 computations (29.9% saved)

series72.0ms (0.1%)

Counts
4 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
(/.f64 u1 (-.f64 u1 1))
1.0ms
u1
@-inf
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u2
@0
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 6850 to 5190 computations (24.2% saved)

rewrite1.6s (1.9%)

Algorithm
batch-egg-rewrite
Rules
97×egg-rr
64×egg-rr
63×egg-rr
25×egg-rr
Counts
4 → 249
Calls
Call 1
Inputs
(/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 u1 (-.f64 u1 1))
Outputs
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simplify5.2s (6.4%)

Algorithm
egglog
Counts
309 → 366
Calls
Call 1
Inputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(pow.f64 u1 2)
(+.f64 (pow.f64 u1 2) (*.f64 2 (pow.f64 u1 3)))
(+.f64 (pow.f64 u1 2) (+.f64 (*.f64 2 (pow.f64 u1 3)) (*.f64 3 (pow.f64 u1 4))))
(+.f64 (pow.f64 u1 2) (+.f64 (*.f64 2 (pow.f64 u1 3)) (+.f64 (*.f64 4 (pow.f64 u1 5)) (*.f64 3 (pow.f64 u1 4)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 u1)))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 1 u1) 2)) (*.f64 2 (/.f64 1 u1))))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 1 u1) 2)) (+.f64 (*.f64 2 (/.f64 1 u1)) (*.f64 4 (pow.f64 (/.f64 1 u1) 3)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 u1)))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 -1 u1) 2)) (*.f64 2 (/.f64 1 u1))))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 (*.f64 2 (/.f64 1 u1)) (*.f64 -4 (pow.f64 (/.f64 -1 u1) 3)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
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(+.f64 0 (/.f64 u1 (+.f64 -1 u1)))
Outputs
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (pow.f64 u1 4) (+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(+.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 u1 -1) 2)) -1) (/.f64 -1 u1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 -1 (pow.f64 u1 -1))) (-.f64 (pow.f64 u1 -1) -1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(+.f64 (+.f64 (neg.f64 (pow.f64 (pow.f64 u1 -1) 2)) -1) (/.f64 -1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 -1 (pow.f64 u1 -1))) (-.f64 (pow.f64 u1 -1) -1))
(pow.f64 u1 2)
(+.f64 (pow.f64 u1 2) (*.f64 2 (pow.f64 u1 3)))
(+.f64 (pow.f64 u1 2) (+.f64 (*.f64 2 (pow.f64 u1 3)) (*.f64 3 (pow.f64 u1 4))))
(+.f64 (pow.f64 u1 2) (fma.f64 2 (pow.f64 u1 3) (*.f64 3 (pow.f64 u1 4))))
(+.f64 (pow.f64 u1 2) (+.f64 (*.f64 2 (pow.f64 u1 3)) (+.f64 (*.f64 4 (pow.f64 u1 5)) (*.f64 3 (pow.f64 u1 4)))))
(+.f64 (pow.f64 u1 2) (fma.f64 2 (pow.f64 u1 3) (fma.f64 4 (pow.f64 u1 5) (*.f64 3 (pow.f64 u1 4)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 u1)))
(+.f64 1 (/.f64 2 u1))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 1 u1) 2)) (*.f64 2 (/.f64 1 u1))))
(-.f64 (fma.f64 3 (pow.f64 (pow.f64 u1 -1) 2) (/.f64 2 u1)) -1)
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 1 u1) 2)) (+.f64 (*.f64 2 (/.f64 1 u1)) (*.f64 4 (pow.f64 (/.f64 1 u1) 3)))))
(-.f64 (fma.f64 3 (pow.f64 (pow.f64 u1 -1) 2) (+.f64 (/.f64 2 u1) (/.f64 4 (pow.f64 u1 3)))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 u1)))
(+.f64 1 (/.f64 2 u1))
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 -1 u1) 2)) (*.f64 2 (/.f64 1 u1))))
(-.f64 (fma.f64 3 (pow.f64 (pow.f64 u1 -1) 2) (/.f64 2 u1)) -1)
(+.f64 1 (+.f64 (*.f64 3 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 (*.f64 2 (/.f64 1 u1)) (*.f64 -4 (pow.f64 (/.f64 -1 u1) 3)))))
(+.f64 (-.f64 (fma.f64 3 (pow.f64 (pow.f64 u1 -1) 2) (/.f64 2 u1)) -1) (*.f64 (/.f64 -1 (pow.f64 u1 3)) -4))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 0) (/.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 2) (+.f64 1 (*.f64 -1 u1))) u1) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 0) (/.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 2) (+.f64 1 (*.f64 -1 u1))) u1) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 0) (/.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 2) (+.f64 1 (*.f64 -1 u1))) u1) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 0) (/.f64 (*.f64 (pow.f64 (*.f64 -1 (/.f64 u1 (+.f64 1 (*.f64 -1 u1)))) 2) (+.f64 1 (*.f64 -1 u1))) u1) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1))))))
(+.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 6) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))))
(+.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6)))) (*.f64 (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)) 1) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (-.f64 1 u1) (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 -1 u1)
(neg.f64 u1)
(+.f64 (*.f64 -1 u1) (*.f64 -1 (pow.f64 u1 2)))
(neg.f64 (fma.f64 u1 u1 u1))
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(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (*.f64 0 (cbrt.f64 (/.f64 u1 (+.f64 -1 u1)))))) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 u1 (-.f64 u1 1))
(*.f64 1 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(*.f64 (/.f64 u1 (+.f64 -1 u1)) 1)
(/.f64 u1 (-.f64 u1 1))
(-.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 u1 1))
(-.f64 0 (/.f64 u1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 u1 1))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 u1 1) 3)))
(/.f64 (*.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 u1)) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 (*.f64 (cbrt.f64 u1) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)))) (cbrt.f64 (-.f64 1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2))) (cbrt.f64 (-.f64 1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (neg.f64 (cbrt.f64 u1))) (cbrt.f64 (-.f64 1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (cbrt.f64 u1)) (cbrt.f64 (+.f64 -1 u1)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) u1) (-.f64 u1 1)))
(/.f64 u1 (+.f64 -1 u1))
(/.f64 u1 (-.f64 u1 1))
(/.f64 (neg.f64 u1) (-.f64 1 u1))
(/.f64 u1 (-.f64 u1 1))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 u1 1) 3)))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 u1 1) 3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 u1 1) 3)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))) (cbrt.f64 (pow.f64 u1 2))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(cbrt.f64 (/.f64 (*.f64 (/.f64 u1 (-.f64 u1 1)) (pow.f64 u1 2)) (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (/.f64 u1 (-.f64 1 u1)) -1)
(/.f64 u1 (-.f64 u1 1))
(/.f64 (/.f64 u1 (+.f64 -1 u1)) 1)
(/.f64 u1 (-.f64 u1 1))
(fma.f64 0 0 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(fma.f64 0 3 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(fma.f64 0 1 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(fma.f64 1 0 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(pow.f64 (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))) 3)
(/.f64 u1 (-.f64 u1 1))
(pow.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 3) 1/3)
(/.f64 u1 (-.f64 u1 1))
(pow.f64 (/.f64 u1 (+.f64 -1 u1)) 1)
(/.f64 u1 (-.f64 u1 1))
(cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 3))
(/.f64 u1 (-.f64 u1 1))
(neg.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 u1 1))
(neg.f64 (-.f64 (/.f64 u1 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))))
(/.f64 u1 (-.f64 u1 1))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (+.f64 -1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 u1 1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (/.f64 u1 (+.f64 -1 u1)) 0) (/.f64 1 (/.f64 -1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) 0) (/.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 3) (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 3) (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (-.f64 -1 (fma.f64 u1 u1 u1)) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (-.f64 -1 (fma.f64 u1 u1 u1)) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (*.f64 (+.f64 1 (fma.f64 u1 u1 u1)) u1) (+.f64 -1 (pow.f64 u1 3))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (-.f64 (fma.f64 u1 u1 u1) -1) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 1 0) (/.f64 u1 (+.f64 -1 u1)) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 u1 1)) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 u1 0) (/.f64 -1 (+.f64 (pow.f64 u1 -1) -1)) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (-.f64 (pow.f64 u1 -1) 1)) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) (/.f64 u1 (+.f64 -1 u1))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 3) (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (+.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 (-.f64 (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))) (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) (+.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (-.f64 1 u1)) 3) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3)) (+.f64 (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))) (+.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))) (+.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (-.f64 1 u1)) 3) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3)) (+.f64 (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))) (+.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(if (!=.f64 (/.f64 0 (-.f64 1 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (-.f64 1 u1)) 3) (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3)) (+.f64 (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 0 (-.f64 1 u1))) (+.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2) (*.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))))) (/.f64 u1 (+.f64 -1 u1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 u1 1)))
(+.f64 (/.f64 0 (-.f64 1 u1)) (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))
(+.f64 0 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 u1 1))

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
Compiler

Compiled 59 to 43 computations (27.1% saved)

series160.0ms (0.2%)

Counts
2 → 4
Calls

9 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
2.0ms
u1
@0
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
2.0ms
u1
@0
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
1.0ms
u2
@inf
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 11890 to 9895 computations (16.8% saved)

rewrite1.6s (1.9%)

Algorithm
batch-egg-rewrite
Rules
60×egg-rr
41×egg-rr
Counts
2 → 101
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 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simplify3.1s (3.8%)

Algorithm
egglog
Counts
105 → 118
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2)))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 6))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 2)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4)) 2)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1/2)
(*.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1/2)
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -2) -2)
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (*.f64 4 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4) 4)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 2))) (sqrt.f64 2))
(/.f64 (fabs.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -2)) 2)
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 4)
(/.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 4))) (cbrt.f64 2))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 2))) (cbrt.f64 2))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (*.f64 4 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) 2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 8) 8)
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 8)) 8)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 2))) (cbrt.f64 4))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 4))) (cbrt.f64 4))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 2 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 1 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 4) 2)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 1/2)
(*.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -2) -2)
(/.f64 (neg.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) -2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 (cos.f64 (*.f64 314159265359/50000000000 u2)))) 2)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (*.f64 4 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(/.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 2)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 4) 4)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 8) 8)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 2 (/.f64 2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 2 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 1 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
Outputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2)))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 6))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6)) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (fabs.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4)) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -2) -2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (*.f64 4 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4))) 1/2)
(/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4) 4)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 4)) (cbrt.f64 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(if (!=.f64 1 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))

eval1.3s (1.6%)

Compiler

Compiled 52380 to 39458 computations (24.7% saved)

prune576.0ms (0.7%)

Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1480251505
Fresh10818
Picked011
Done325
Total1493361529
Error
0.0b
Counts
1529 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
13.9b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
3.1b
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
25.6b
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
0.5b
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 2))) (sqrt.f64 2))
21.6b
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.6b
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
13.9b
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
2.0b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 2) 1/3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 1 u1)) u1) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.9b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) 3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (/.f64 (/.f64 (pow.f64 u1 2) (-.f64 1 u1)) (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 (/.f64 u1 (+.f64 -1 u1)) u1) (/.f64 u1 (+.f64 -1 u1))) (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 u1 (/.f64 (/.f64 u1 (-.f64 1 u1)) (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
15.3b
(*.f64 (sqrt.f64 (+.f64 u1 (*.f64 u1 (fma.f64 u1 u1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
36.1b
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
0.8b
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
25.6b
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
25.6b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
25.6b
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
40.2b
(sqrt.f64 u1)
0.7b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Compiler

Compiled 1832 to 1402 computations (23.5% saved)

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (+.f64 u1 -1) u1)
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.3b
(/.f64 -1 (/.f64 (+.f64 u1 -1) u1))
Compiler

Compiled 97 to 68 computations (29.9% saved)

series32.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u2
@inf
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 4110 to 3070 computations (25.3% saved)

rewrite1.7s (2.1%)

Algorithm
batch-egg-rewrite
Rules
180×egg-rr
68×egg-rr
33×egg-rr
Counts
3 → 281
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (+.f64 u1 -1) u1))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 (+.f64 u1 -1) u1)
Outputs
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simplify4.9s (5.9%)

Algorithm
egglog
Counts
329 → 397
Calls
Call 1
Inputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
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(if (!=.f64 (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (*.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1)))) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 (pow.f64 u1 -1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (*.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (*.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1))))) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 u1 (pow.f64 u1 -1)) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (*.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (+.f64 0 (*.f64 (-.f64 1 (pow.f64 u1 -1)) 0))) 0) (/.f64 (-.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) 0) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (+.f64 0 (*.f64 (-.f64 1 (pow.f64 u1 -1)) 0)))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 (neg.f64 u1)) (/.f64 0 (neg.f64 u1))) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 (neg.f64 u1)) (+.f64 -1 (pow.f64 u1 -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 u1)) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 u1)) (/.f64 0 (neg.f64 u1))) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 (neg.f64 u1)) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 0 (+.f64 -1 (pow.f64 u1 -1))))) 0) (/.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 0 (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 u1) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 u1 u1) 3) (pow.f64 (pow.f64 u1 3) -1)) (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (+.f64 (pow.f64 (/.f64 (neg.f64 u1) u1) 2) (*.f64 (/.f64 -1 u1) (/.f64 (neg.f64 u1) u1)))) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (/.f64 (neg.f64 u1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (+.f64 (pow.f64 (/.f64 (neg.f64 u1) u1) 2) (*.f64 (/.f64 -1 u1) (/.f64 (neg.f64 u1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (/.f64 (+.f64 0 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3)) (+.f64 0 (-.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) 0))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 u1 -1) u1) 3) (/.f64 -1 (pow.f64 u1 3))) (+.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (-.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (*.f64 (pow.f64 u1 -1) u1) (/.f64 -1 u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (+.f64 (pow.f64 (*.f64 u1 (pow.f64 u1 -1)) 3) (/.f64 -1 (pow.f64 u1 3))) (+.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (-.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (/.f64 -1 u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (*.f64 (pow.f64 u1 -1) u1) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 (pow.f64 u1 -1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (*.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (*.f64 u1 (pow.f64 u1 -1)) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 u1 (pow.f64 u1 -1)) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (*.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (/.f64 (-.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) 0) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (+.f64 0 (*.f64 (-.f64 1 (pow.f64 u1 -1)) 0)))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 0 (neg.f64 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 u1)) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 u1)) (/.f64 0 (neg.f64 u1))) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 (neg.f64 u1)) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 0 (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 0 u1) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 u1) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 u1 u1) 0) (/.f64 (-.f64 (pow.f64 (/.f64 u1 u1) 3) (pow.f64 (pow.f64 u1 3) -1)) (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (/.f64 (neg.f64 u1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (+.f64 (pow.f64 (/.f64 (neg.f64 u1) u1) 2) (*.f64 (/.f64 -1 u1) (/.f64 (neg.f64 u1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)) 0) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 u1 3))) (/.f64 (+.f64 (pow.f64 u1 3) (fma.f64 u1 u1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)))) (-.f64 1 (pow.f64 u1 -1)))
(+.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1)))
(+.f64 (*.f64 u1 (pow.f64 u1 -1)) (/.f64 -1 u1))
(+.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1))
(+.f64 (*.f64 (pow.f64 u1 -1) u1) (/.f64 -1 u1))
(+.f64 (/.f64 -1 u1) 1)
(+.f64 1 (/.f64 -1 u1))
(+.f64 (/.f64 0 (neg.f64 u1)) (-.f64 1 (pow.f64 u1 -1)))
(+.f64 (/.f64 0 u1) (-.f64 1 (pow.f64 u1 -1)))
(+.f64 (/.f64 u1 u1) (/.f64 -1 u1))
(+.f64 (/.f64 -1 u1) (neg.f64 (/.f64 (neg.f64 u1) u1)))
(+.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (neg.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))))
(+.f64 0 (-.f64 1 (pow.f64 u1 -1)))
(+.f64 (-.f64 1 (pow.f64 u1 -1)) 0)
Outputs
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1) (pow.f64 u1 4))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 u1 -1)) u1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(+.f64 (/.f64 -1 (pow.f64 u1 3)) (+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 u1 -1)) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 u1 -1)) u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(+.f64 (/.f64 -1 (pow.f64 u1 3)) (+.f64 -1 (/.f64 (-.f64 -1 (pow.f64 u1 -1)) u1)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (*.f64 -1 (/.f64 u1 (-.f64 u1 1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
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(if (!=.f64 (pow.f64 (-.f64 (pow.f64 u1 -1) 1) 2) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
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(if (!=.f64 (pow.f64 (-.f64 (pow.f64 u1 -1) 1) 2) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
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(if (!=.f64 (pow.f64 (-.f64 (pow.f64 u1 -1) 1) 2) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 u1) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (pow.f64 (-.f64 (pow.f64 u1 -1) 1) 2) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 u1 u1) 3) (pow.f64 (pow.f64 u1 3) -1)) (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (+.f64 (/.f64 (-.f64 (pow.f64 u1 -1) -1) u1) 1) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
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(if (!=.f64 (+.f64 (/.f64 (-.f64 (pow.f64 u1 -1) -1) u1) 1) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
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(if (!=.f64 (+.f64 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 2) (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (-.f64 -1 (fma.f64 u1 u1 u1))) u1) (/.f64 (+.f64 (pow.f64 u1 3) 1) (*.f64 u1 (-.f64 -1 (fma.f64 u1 u1 u1)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 u1 3) (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 2) (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (-.f64 -1 (fma.f64 u1 u1 u1))) u1) (/.f64 (+.f64 (pow.f64 u1 3) 1) (*.f64 u1 (-.f64 -1 (fma.f64 u1 u1 u1))))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (/.f64 (+.f64 0 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3)) (+.f64 0 (-.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) 0))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 u1 -1) u1) 3) (/.f64 -1 (pow.f64 u1 3))) (+.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (-.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (*.f64 (pow.f64 u1 -1) u1) (/.f64 -1 u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (+.f64 (pow.f64 (*.f64 u1 (pow.f64 u1 -1)) 3) (/.f64 -1 (pow.f64 u1 3))) (+.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (-.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (/.f64 -1 u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (*.f64 (pow.f64 u1 -1) u1) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 (pow.f64 u1 -1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 (pow.f64 u1 -1) u1) (*.f64 (pow.f64 u1 -1) u1)) (*.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 1 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (*.f64 u1 (pow.f64 u1 -1)) 0) (/.f64 (+.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (*.f64 u1 (pow.f64 u1 -1)) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (-.f64 (*.f64 (*.f64 u1 (pow.f64 u1 -1)) (*.f64 u1 (pow.f64 u1 -1))) (*.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 1 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (/.f64 (-.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) 0) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (+.f64 0 (*.f64 (-.f64 1 (pow.f64 u1 -1)) 0)))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (-.f64 1 (pow.f64 u1 -1)) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 0 (neg.f64 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 u1)) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 (neg.f64 u1)) (/.f64 0 (neg.f64 u1))) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 (neg.f64 u1)) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 0 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 0 (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 0 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 0 u1) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 u1) 3) (pow.f64 (+.f64 -1 (pow.f64 u1 -1)) 3)) (+.f64 (*.f64 (/.f64 0 u1) (/.f64 0 u1)) (+.f64 (pow.f64 (-.f64 1 (pow.f64 u1 -1)) 2) (*.f64 (/.f64 0 u1) (+.f64 -1 (pow.f64 u1 -1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 0 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 u1 u1) 0) (/.f64 (-.f64 (pow.f64 (/.f64 u1 u1) 3) (pow.f64 (pow.f64 u1 3) -1)) (+.f64 (*.f64 (/.f64 u1 u1) (/.f64 u1 u1)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (*.f64 (/.f64 u1 u1) (pow.f64 u1 -1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 1 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 u1 3)) (pow.f64 (/.f64 (neg.f64 u1) u1) 3)) (+.f64 (pow.f64 (pow.f64 u1 -1) 2) (+.f64 (pow.f64 (/.f64 (neg.f64 u1) u1) 2) (*.f64 (/.f64 -1 u1) (/.f64 (neg.f64 u1) u1))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 -1 u1) 0) (-.f64 1 (pow.f64 u1 -1)) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))) (*.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 3) (pow.f64 (/.f64 (/.f64 (pow.f64 u1 3) (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 1 (-.f64 -1 (fma.f64 u1 u1 u1))) u1) 2) (*.f64 (/.f64 (/.f64 (pow.f64 u1 3) (-.f64 -1 (fma.f64 u1 u1 u1))) u1) (/.f64 (+.f64 (pow.f64 u1 3) 1) (*.f64 u1 (-.f64 -1 (fma.f64 u1 u1 u1))))))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)) 0) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 u1 3))) (/.f64 (+.f64 (pow.f64 u1 3) (fma.f64 u1 u1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)))) (-.f64 1 (pow.f64 u1 -1)))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)) 0) (/.f64 (cbrt.f64 (-.f64 (pow.f64 u1 3) 1)) (/.f64 (+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 u1 3)) 2)))) (-.f64 1 (pow.f64 u1 -1)))
(+.f64 (/.f64 -1 u1) (*.f64 u1 (pow.f64 u1 -1)))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (*.f64 u1 (pow.f64 u1 -1)) (/.f64 -1 u1))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 -1 u1) (*.f64 (pow.f64 u1 -1) u1))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (*.f64 (pow.f64 u1 -1) u1) (/.f64 -1 u1))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 -1 u1) 1)
(-.f64 1 (pow.f64 u1 -1))
(+.f64 1 (/.f64 -1 u1))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 0 (neg.f64 u1)) (-.f64 1 (pow.f64 u1 -1)))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 0 u1) (-.f64 1 (pow.f64 u1 -1)))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 u1 u1) (/.f64 -1 u1))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 -1 u1) (neg.f64 (/.f64 (neg.f64 u1) u1)))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (/.f64 (/.f64 1 (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1)) (neg.f64 (/.f64 (/.f64 (pow.f64 u1 3) (+.f64 (fma.f64 u1 u1 1) u1)) (neg.f64 u1))))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 0 (-.f64 1 (pow.f64 u1 -1)))
(-.f64 1 (pow.f64 u1 -1))
(+.f64 (-.f64 1 (pow.f64 u1 -1)) 0)
(-.f64 1 (pow.f64 u1 -1))

localize6.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.3b
(/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2))
Compiler

Compiled 92 to 67 computations (27.2% saved)

series32.0ms (0%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@0
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@inf
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 1740 to 1340 computations (23% saved)

rewrite1.9s (2.4%)

Algorithm
batch-egg-rewrite
Rules
27×egg-rr
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) 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simplify2.1s (2.5%)

Algorithm
egglog
Counts
35 → 37
Calls
Call 1
Inputs
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(+.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 4)))))
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(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(*.f64 1 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 -1 (neg.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 -1 (*.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
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(-.f64 0 (*.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(/.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(neg.f64 (*.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(neg.f64 (neg.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) 3))
(if (!=.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1) (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
Outputs
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
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(if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
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(*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(if (!=.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1) (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (/.f64 1 (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) (*.f64 (if (!=.f64 u1 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
0.3b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
Compiler

Compiled 52 to 31 computations (40.4% saved)

series137.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
2.0ms
u1
@0
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@inf
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@-inf
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@0
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
1.0ms
u1
@inf
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
Compiler

Compiled 7765 to 6460 computations (16.8% saved)

rewrite1.6s (2%)

Algorithm
batch-egg-rewrite
Rules
39×egg-rr
30×egg-rr
Counts
2 → 69
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
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simplify2.9s (3.6%)

Algorithm
egglog
Counts
85 → 88
Calls
Call 1
Inputs
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) u2)
(*.f64 u2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
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(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) (cbrt.f64 u2)))
(*.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 u2 2))) (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)))
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(*.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(/.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
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(pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
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(pow.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
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(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(fma.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2)) u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(fma.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))
(if (!=.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (/.f64 (*.f64 (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 u2 3) 2)) 1) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1)))))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (*.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 1 (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1))))) 0) (/.f64 (*.f64 (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 u2 3) 2)) 1) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1)))))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 (*.f64 (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 u2 3) 2)) 1) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1)))))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (/.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1))) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1)) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
Outputs
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) u2)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 u2 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2) (cbrt.f64 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 u2 2))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 u2 2))) (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) u2) 2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) u2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(/.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(neg.f64 (*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2))
(if (!=.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (/.f64 1 (pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2)) (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (pow.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2) -1) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)))
(if (!=.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) 0) (/.f64 1 (/.f64 (/.f64 1 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(*.f64 1 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
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(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) -1)) 0) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (+.f64 -1 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 2))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) -1))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1)))
(if (!=.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (pow.f64 (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1)) (*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1)) 0) (/.f64 1 (/.f64 (pow.f64 (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2) 1))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.7b
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
0.7b
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
Compiler

Compiled 60 to 44 computations (26.7% saved)

series686.0ms (0.8%)

Counts
3 → 12
Calls

12 calls:

TimeVariablePointExpression
6.0ms
u1
@0
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
5.0ms
u1
@inf
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
4.0ms
u1
@inf
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
4.0ms
u1
@0
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
4.0ms
u1
@-inf
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
Compiler

Compiled 30710 to 27810 computations (9.4% saved)

rewrite2.0s (2.5%)

Algorithm
batch-egg-rewrite
Rules
27×egg-rr
21×egg-rr
18×egg-rr
Counts
3 → 66
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))))))

simplify2.8s (3.4%)

Algorithm
egglog
Counts
78 → 76
Calls
Call 1
Inputs
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 6) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 4)) 2))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 1 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Outputs
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 6) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6))) (-.f64 (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -1)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
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(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
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(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

eval1.5s (1.8%)

Compiler

Compiled 49225 to 36854 computations (25.1% saved)

prune644.0ms (0.8%)

Pruning

38 alts after pruning (31 fresh and 7 done)

PrunedKeptTotal
New1406101416
Fresh72128
Picked101
Done077
Total1414381452
Error
0.0b
Counts
1452 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
25.6b
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
13.9b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
17.0b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
3.1b
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
25.6b
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
0.5b
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 2))) (sqrt.f64 2))
21.6b
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.6b
(*.f64 (if (!=.f64 u1 0) (+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
13.9b
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
2.0b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 2) 1/3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 1 u1)) u1) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.9b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) 3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (/.f64 (/.f64 (pow.f64 u1 2) (-.f64 1 u1)) (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 (/.f64 u1 (+.f64 -1 u1)) u1) (/.f64 u1 (+.f64 -1 u1))) (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 u1 (/.f64 (/.f64 u1 (-.f64 1 u1)) (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 (/.f64 -1 (-.f64 1 u1)) (/.f64 -1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 (/.f64 -1 u1) -1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
9.1b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
6.9b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6))) (-.f64 (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -1)))
0.4b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
36.1b
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
25.6b
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
25.6b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
25.6b
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
40.2b
(sqrt.f64 u1)
0.7b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Compiler

Compiled 1856 to 1425 computations (23.2% saved)

localize24.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
0.2b
(/.f64 -1 (+.f64 u1 -1))
0.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)
Compiler

Compiled 50 to 37 computations (26% saved)

series64.0ms (0.1%)

Counts
4 → 36
Calls

15 calls:

TimeVariablePointExpression
6.0ms
u2
@0
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u1
@0
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u1
@inf
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms
u2
@-inf
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 6410 to 5320 computations (17% saved)

rewrite1.7s (2.1%)

Algorithm
batch-egg-rewrite
Rules
59×egg-rr
59×egg-rr
44×egg-rr
36×egg-rr
Counts
4 → 198
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 -1 (+.f64 u1 -1))
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
Outputs
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simplify5.6s (6.8%)

Algorithm
egglog
Counts
234 → 282
Calls
Call 1
Inputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1))))))
(+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 6) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
1
(+.f64 1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 1 u1))
(+.f64 (pow.f64 u1 2) (+.f64 1 (+.f64 u1 (pow.f64 u1 3))))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 4)))) (/.f64 1 u1))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 4)) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)))) (/.f64 1 u1))
(*.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)) (cbrt.f64 u1))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(*.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (pow.f64 u1 2)))
(*.f64 (/.f64 -1 (-.f64 1 u1)) (neg.f64 u1))
(*.f64 (neg.f64 u1) (/.f64 -1 (-.f64 1 u1)))
(*.f64 u1 (/.f64 -1 (+.f64 -1 u1)))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(*.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) u1)
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(*.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(-.f64 0 (/.f64 u1 (+.f64 -1 u1)))
(-.f64 3 (+.f64 3 (/.f64 u1 (+.f64 -1 u1))))
(-.f64 1 (+.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (neg.f64 (cbrt.f64 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1 u1))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)) 2)))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (+.f64 -1 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (neg.f64 u1) (+.f64 -1 u1))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(/.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 u1))) u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (-.f64 (/.f64 u1 (+.f64 -1 u1)) 0))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 -1 (/.f64 -1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 (fma.f64 u1 u1 1) u1) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (+.f64 (fma.f64 u1 u1 1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 1 (+.f64 -1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (neg.f64 (cbrt.f64 u1)) (/.f64 (+.f64 -1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 u1 2))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (+.f64 -1 u1) (neg.f64 (cbrt.f64 (pow.f64 u1 2))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 -1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (-.f64 -1 (fma.f64 u1 u1 u1)) 0) (*.f64 (/.f64 (neg.f64 u1) (-.f64 1 (pow.f64 u1 3))) (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 u1) 0) (/.f64 1 (+.f64 -1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 0 (/.f64 u1 (+.f64 -1 u1))) 0) (/.f64 (-.f64 0 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (+.f64 0 (/.f64 u1 (+.f64 -1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (+.f64 -1 u1)) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 -1 u1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 -1 u1))))) 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 -1 u1)))))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) (*.f64 0 (/.f64 u1 (+.f64 -1 u1)))))) (/.f64 u1 (-.f64 1 u1)))
(+.f64 0 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
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(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -1) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (+.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (/.f64 (-.f64 0 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (+.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 0 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (pow.f64 u1 4) (+.f64 (*.f64 u1 (fma.f64 u1 u1 u1)) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(neg.f64 (+.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 (pow.f64 u1 -1) -1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (-.f64 (pow.f64 u1 -1) -1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 -1 (pow.f64 u1 -1))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(neg.f64 (+.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 (pow.f64 u1 -1) -1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (-.f64 (pow.f64 u1 -1) -1))
(sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 6) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6)) (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)))) (*.f64 (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (*.f64 -1 (/.f64 u1 (-.f64 u1 1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1
(+.f64 1 u1)
(-.f64 u1 -1)
(+.f64 (pow.f64 u1 2) (+.f64 1 u1))
(-.f64 (fma.f64 u1 u1 u1) -1)
(+.f64 (pow.f64 u1 2) (+.f64 1 (+.f64 u1 (pow.f64 u1 3))))
(+.f64 (-.f64 u1 -1) (*.f64 u1 (fma.f64 u1 u1 u1)))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (/.f64 1 u1))
(neg.f64 (+.f64 (/.f64 (pow.f64 u1 -1) u1) (pow.f64 u1 -1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (/.f64 1 u1))
(-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (pow.f64 u1 -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 4)))) (/.f64 1 u1))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (pow.f64 (pow.f64 u1 -1) 4)) (/.f64 -1 u1))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (/.f64 1 u1))
(neg.f64 (+.f64 (/.f64 (pow.f64 u1 -1) u1) (pow.f64 u1 -1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (/.f64 1 u1))
(-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (pow.f64 u1 -1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 4)) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)))) (/.f64 1 u1))
(+.f64 (-.f64 (*.f64 (/.f64 (pow.f64 u1 -1) u1) (-.f64 -1 (pow.f64 u1 -1))) (pow.f64 (pow.f64 u1 -1) 4)) (/.f64 -1 u1))
(*.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 u1)) (-.f64 1 u1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 u1 2)) (-.f64 1 u1)) (cbrt.f64 u1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 u1)) (-.f64 1 u1))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 u1)) (-.f64 1 u1))
(*.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (pow.f64 u1 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 u1 2)) (cbrt.f64 u1)) (-.f64 1 u1))
(*.f64 (/.f64 -1 (-.f64 1 u1)) (neg.f64 u1))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (neg.f64 u1) (/.f64 -1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 u1 (/.f64 -1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(/.f64 (*.f64 u1 (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 u1)) 2))) (cbrt.f64 (-.f64 1 u1)))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) u1)
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(/.f64 (*.f64 u1 (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 u1)) 2))) (cbrt.f64 (-.f64 1 u1)))
(-.f64 0 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 1 u1))
(-.f64 3 (+.f64 3 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 u1 (-.f64 1 u1))
(-.f64 1 (+.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2))) (neg.f64 (cbrt.f64 (-.f64 u1 1))))
(/.f64 (neg.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (-.f64 u1 1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (neg.f64 (cbrt.f64 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2))) (neg.f64 (cbrt.f64 (-.f64 u1 1))))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 -1 u1))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 u1 1)) 2))))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (+.f64 -1 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (-.f64 u1 1)) 2))
(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (-.f64 u1 1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (neg.f64 u1) (+.f64 -1 u1))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(/.f64 u1 (-.f64 1 u1))
(/.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 u1 (-.f64 1 u1))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 1 u1))) u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(/.f64 u1 (-.f64 1 u1))
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(/.f64 u1 (-.f64 1 u1))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 u1 (-.f64 1 u1))
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(/.f64 u1 (-.f64 1 u1))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 u1 (-.f64 1 u1))
(neg.f64 (-.f64 (/.f64 u1 (+.f64 -1 u1)) 0))
(/.f64 u1 (-.f64 1 u1))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(/.f64 u1 (-.f64 1 u1))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 -1 (/.f64 -1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 -1 (pow.f64 (/.f64 u1 (-.f64 u1 1)) -1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 (fma.f64 u1 u1 1) u1) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (+.f64 (fma.f64 u1 u1 1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (-.f64 (fma.f64 u1 u1 u1) -1) 0) (*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 (fma.f64 u1 u1 u1) -1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (pow.f64 u1 2)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (pow.f64 u1 2)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (pow.f64 u1 2)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 1 (+.f64 -1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (-.f64 1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
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(if (!=.f64 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) (+.f64 0 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (*.f64 0 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 0 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

localize20.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
0.2b
(/.f64 u1 (-.f64 1 u1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.3b
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
Compiler

Compiled 97 to 71 computations (26.8% saved)

series78.0ms (0.1%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
11.0ms
u1
@0
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
5.0ms
u1
@-inf
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
3.0ms
u1
@inf
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
1.0ms
u2
@0
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms
u1
@-inf
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Compiler

Compiled 4685 to 3645 computations (22.2% saved)

rewrite1.5s (1.9%)

Algorithm
batch-egg-rewrite
Rules
91×egg-rr
15×egg-rr
Counts
2 → 106
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2))
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
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simplify3.0s (3.6%)

Algorithm
egglog
Counts
134 → 133
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
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(if (!=.f64 (neg.f64 (fma.f64 1/2 u1 1)) 0) (/.f64 1 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(+.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 (*.f64 1/2 u1) (pow.f64 (pow.f64 u1 -1/2) -1)))
(+.f64 (*.f64 (*.f64 1/2 u1) (pow.f64 (pow.f64 u1 -1/2) -1)) (pow.f64 (pow.f64 u1 -1/2) -1))
(+.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 1/2 u1)))
(+.f64 (*.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 1/2 u1)) (pow.f64 (pow.f64 u1 -1/2) -1))
(*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 1 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(/.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Outputs
(/.f64 1 (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (-.f64 1 (*.f64 -1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (+.f64 1 (*.f64 -1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(+.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)))) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 4) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (+.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 6))))))
(+.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)))) (fma.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 u2 6) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 2)))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 u1 -1/2) -1)) (/.f64 (fma.f64 1/2 u1 1) (cbrt.f64 (pow.f64 (pow.f64 u1 -1/2) 2))))
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(/.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 2))) (neg.f64 (cbrt.f64 (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 2)) (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1)))) (neg.f64 (cbrt.f64 (pow.f64 u1 -1/2))))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(/.f64 (neg.f64 (fma.f64 1/2 u1 1)) (neg.f64 (pow.f64 u1 -1/2)))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(/.f64 (/.f64 (fma.f64 1/2 u1 1) (cbrt.f64 (pow.f64 u1 -1/2))) (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 u1 -1/2))) 2))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))) 3)
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 3) 1/3)
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 1)
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) 3))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(neg.f64 (/.f64 (neg.f64 (fma.f64 1/2 u1 1)) (pow.f64 u1 -1/2)))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(neg.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 1/2 u1 1)) (pow.f64 u1 -1/2)) 1))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (/.f64 1 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (pow.f64 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1)) -1) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 1/2 u1 1)) (/.f64 (pow.f64 u1 -1/2) (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (pow.f64 (pow.f64 u1 -1/2) -1) 0) (/.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) (/.f64 (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2))) (pow.f64 (pow.f64 u1 -1/2) -1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (/.f64 1 (pow.f64 u1 -1/2)) 0) (/.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) (/.f64 (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1) (/.f64 1 (pow.f64 u1 -1/2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (/.f64 1 (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) (/.f64 (pow.f64 u1 -1/2) (/.f64 1 (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2)))))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (pow.f64 (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1) -1) 0) (/.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) (/.f64 (pow.f64 u1 -1/2) (pow.f64 (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1) -1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (cbrt.f64 (fma.f64 1/2 u1 1)) 0) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)) (/.f64 (pow.f64 u1 -1/2) (cbrt.f64 (fma.f64 1/2 u1 1)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (/.f64 (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2))) (/.f64 (*.f64 (pow.f64 u1 -1/2) (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2)))) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (/.f64 (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1) (/.f64 (*.f64 (pow.f64 u1 -1/2) (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1)) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) (/.f64 (*.f64 (pow.f64 u1 -1/2) (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) 2))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) 2) 0) (/.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) (/.f64 (*.f64 (pow.f64 u1 -1/2) (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1)) (pow.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 u1 3) 1)) 2))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) 0) (/.f64 1 (/.f64 (*.f64 (pow.f64 u1 -1/2) (+.f64 1 (*.f64 u1 (-.f64 (/.f64 u1 4) 1/2)))) (fma.f64 1/8 (pow.f64 u1 3) 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/8 (pow.f64 u1 3) 1) 0) (pow.f64 (/.f64 (*.f64 (pow.f64 u1 -1/2) (fma.f64 (fma.f64 u1 1/4 -1/2) u1 1)) (fma.f64 1/8 (pow.f64 u1 3) 1)) -1) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (/.f64 -1 (/.f64 (neg.f64 (pow.f64 u1 -1/2)) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 1/2 u1 1) 0) (pow.f64 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1)) -1) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)) 0) (/.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1))) (/.f64 (neg.f64 (pow.f64 u1 -1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 1/2 u1 1)) (/.f64 (pow.f64 u1 -1/2) (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1))) 2) 0) (/.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1))) (/.f64 (neg.f64 (pow.f64 u1 -1/2)) (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 u1 1))) 2))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 1/2 u1 1)) (/.f64 (pow.f64 u1 -1/2) (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2))) 0) (/.f64 (cbrt.f64 (fma.f64 1/2 u1 1)) (/.f64 (pow.f64 u1 -1/2) (cbrt.f64 (pow.f64 (fma.f64 1/2 u1 1) 2)))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (neg.f64 (fma.f64 1/2 u1 1)) 0) (/.f64 1 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1))) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 (fma.f64 -1/2 u1 -1) 0) (pow.f64 (/.f64 (pow.f64 u1 -1/2) (fma.f64 1/2 u1 1)) -1) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(if (!=.f64 1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)))
(+.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 (*.f64 1/2 u1) (pow.f64 (pow.f64 u1 -1/2) -1)))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(+.f64 (*.f64 (*.f64 1/2 u1) (pow.f64 (pow.f64 u1 -1/2) -1)) (pow.f64 (pow.f64 u1 -1/2) -1))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(+.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 1/2 u1)))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(+.f64 (*.f64 (pow.f64 (pow.f64 u1 -1/2) -1) (*.f64 1/2 u1)) (pow.f64 (pow.f64 u1 -1/2) -1))
(/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2))
(*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2))) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (*.f64 (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2))))
(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (*.f64 (cbrt.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))))
(*.f64 1 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (cbrt.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(cbrt.f64 (pow.f64 (*.f64 (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (if (!=.f64 u1 0) (/.f64 (fma.f64 1/2 u1 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.2b
(/.f64 u1 (-.f64 1 u1))
0.2b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
0.4b
(*.f64 (sqrt.f64 u1) (*.f64 u2 u2))
Compiler

Compiled 46 to 23 computations (50% saved)

series79.0ms (0.1%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
11.0ms
u1
@inf
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@0
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@-inf
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms
u1
@0
(*.f64 (sqrt.f64 u1) (*.f64 u2 u2))
0.0ms
u2
@0
(*.f64 (sqrt.f64 u1) (*.f64 u2 u2))
Compiler

Compiled 6835 to 5185 computations (24.1% saved)

rewrite1.9s (2.4%)

Algorithm
batch-egg-rewrite
Rules
37×egg-rr
30×egg-rr
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 u1) (*.f64 u2 u2))
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)) (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 u2 2) (sqrt.f64 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 u1) (pow.f64 u2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 u1) u2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 u2 (*.f64 (sqrt.f64 u1) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 u1)) (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))) (sqrt.f64 (sqrt.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))) (pow.f64 (sqrt.f64 u1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))) (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)) (cbrt.f64 (pow.f64 u2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 u1) 2/3) (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 u1)) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 u1)) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 u1)) u2) 2) (cbrt.f64 (sqrt.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) 0) (/.f64 1 (pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) -2)) (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (sqrt.f64 u1)) (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -98696044010906577398881/5000000000000000000000) (*.f64 (cbrt.f64 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(*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) 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simplify2.5s (3%)

Algorithm
egglog
Counts
75 → 84
Calls
Call 1
Inputs
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)) (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (sqrt.f64 u1) (pow.f64 u2 2))
(*.f64 (*.f64 (sqrt.f64 u1) u2) u2)
(*.f64 u2 (*.f64 (sqrt.f64 u1) u2))
(*.f64 (sqrt.f64 (sqrt.f64 u1)) (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)))
(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))) (sqrt.f64 (sqrt.f64 u1)))
(*.f64 (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))) (pow.f64 (sqrt.f64 u1) 2/3))
(*.f64 (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))) (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (pow.f64 (sqrt.f64 u1) 2/3) (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))))
(*.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))))
(*.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))
(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 u1)) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 u1)) u2) 2))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 u1)) u2) 2) (cbrt.f64 (sqrt.f64 u1)))
(/.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3)
(pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 1)
(pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) 2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 3))
(neg.f64 (*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) -1))
(if (!=.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) 0) (/.f64 1 (pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) -2)) (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))
(if (!=.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 0) (/.f64 1 (/.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 1 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (-.f64 (cbrt.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (+.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 (cbrt.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (+.f64 (cbrt.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(/.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (cbrt.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (cbrt.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) u2)) u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (cbrt.f64 (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (sqrt.f64 u1)) (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (cbrt.f64 -98696044010906577398881/5000000000000000000000) (*.f64 (cbrt.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 1 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(neg.f64 (*.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))
(if (!=.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 0) (*.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (+.f64 1 (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 3) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (+.f64 (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (/.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (pow.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1)) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
Outputs
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)) 2)) (cbrt.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (sqrt.f64 u1) (pow.f64 u2 2))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (sqrt.f64 u1) u2) u2)
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 u2 (*.f64 (sqrt.f64 u1) u2))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (sqrt.f64 (sqrt.f64 u1)) (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (pow.f64 u2 2) (sqrt.f64 (sqrt.f64 u1))) (sqrt.f64 (sqrt.f64 u1)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))) (pow.f64 (sqrt.f64 u1) 2/3))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))) (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (*.f64 (sqrt.f64 u1) (cbrt.f64 (pow.f64 u2 2))))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (cbrt.f64 (pow.f64 u2 2)) (*.f64 (*.f64 (sqrt.f64 u1) u2) (cbrt.f64 u2)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 u2 2) 2)) (sqrt.f64 u1)) (cbrt.f64 (pow.f64 u2 2)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (pow.f64 (sqrt.f64 u1) 2/3) (*.f64 (pow.f64 u2 2) (cbrt.f64 (sqrt.f64 u1))))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))) (*.f64 u2 (sqrt.f64 (sqrt.f64 u1))))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
(*.f64 1 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))
(*.f64 (*.f64 u2 u2) (sqrt.f64 u1))
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(if (!=.f64 (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1)))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (pow.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) 2)) (-.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (*.f64 (*.f64 u2 u2) (sqrt.f64 u1)) 98696044010906577398881/5000000000000000000000)) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (pow.f64 (*.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1)) 2)) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (*.f64 (*.f64 u2 u2) (sqrt.f64 u1)) 98696044010906577398881/5000000000000000000000))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (-.f64 (/.f64 (*.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1)) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(if (!=.f64 (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 0) (/.f64 (-.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (pow.f64 (*.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1)) 2)) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (*.f64 (*.f64 u2 u2) (sqrt.f64 u1)) 98696044010906577398881/5000000000000000000000))) (fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 u1))))
(fma.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (sqrt.f64 u1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
0.3b
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
0.5b
(pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2)
0.5b
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1)))
Compiler

Compiled 268 to 195 computations (27.2% saved)

series37.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u1
@-inf
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1)))
1.0ms
u1
@0
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1)))
1.0ms
u1
@inf
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1)))
0.0ms
u1
@-inf
(pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2)
0.0ms
u1
@0
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
Compiler

Compiled 5295 to 4095 computations (22.7% saved)

rewrite1.9s (2.3%)

Algorithm
batch-egg-rewrite
Rules
74×egg-rr
69×egg-rr
56×egg-rr
43×egg-rr
Counts
4 → 242
Calls
Call 1
Inputs
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 u1 1))) 2)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
Outputs
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simplify4.6s (5.7%)

Algorithm
egglog
Counts
290 → 335
Calls
Call 1
Inputs
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2) u1)
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(+.f64 (/.f64 0 (/.f64 -1 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (/.f64 -1 (/.f64 u1 (-.f64 1 u1))) -1))
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(+.f64 0 (pow.f64 (/.f64 -1 (/.f64 u1 (-.f64 1 u1))) -1))
Outputs
(/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2) u1)
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(+.f64 (*.f64 -1 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2)) (/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2) u1))
(*.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 u1 (-.f64 u1 1)) (/.f64 u1 (-.f64 u1 1))) 2) (-.f64 (pow.f64 u1 -1) 1))
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(*.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 u1 (-.f64 u1 1)) (/.f64 u1 (-.f64 u1 1))) 2) (-.f64 (pow.f64 u1 -1) 1))
(+.f64 (*.f64 -1 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2)) (/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (*.f64 -1 (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 u1 1))) 2) u1))
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eval1.5s (1.8%)

Compiler

Compiled 50132 to 37238 computations (25.7% saved)

prune630.0ms (0.8%)

Pruning

39 alts after pruning (29 fresh and 10 done)

PrunedKeptTotal
New123491243
Fresh62026
Picked101
Done11011
Total1242391281
Error
0.0b
Counts
1281 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
25.6b
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
13.9b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
17.0b
(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (sqrt.f64 u1) (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
3.1b
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3) 1/3)
25.6b
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
1.5b
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 3)
5.4b
(-.f64 1 (+.f64 1 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
21.6b
(*.f64 (if (!=.f64 u1 0) (/.f64 (+.f64 (*.f64 1/2 u1) 1) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 1 (pow.f64 u1 -1))) (/.f64 u1 (-.f64 1 u1))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.6b
(*.f64 (if (!=.f64 u1 0) (+.f64 (/.f64 1 (pow.f64 u1 -1/2)) (*.f64 1/2 (/.f64 u1 (pow.f64 u1 -1/2)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.6b
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
13.9b
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
7.0b
(*.f64 (-.f64 3 (+.f64 3 (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 -1 (-.f64 (/.f64 1 u1) 1)) (/.f64 u1 (-.f64 u1 1))) 2) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
2.0b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 2) 1/3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.9b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) 3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 (/.f64 u1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 u1 (/.f64 (/.f64 u1 (-.f64 1 u1)) (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 (/.f64 -1 (-.f64 1 u1)) (/.f64 -1 u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (-.f64 (/.f64 -1 u1) -1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
9.1b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))
6.9b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) (*.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6))) (-.f64 (*.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -1)))
0.4b
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
13.6b
(*.f64 (sqrt.f64 (-.f64 3 (+.f64 3 (/.f64 u1 (+.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
12.0b
(*.f64 (sqrt.f64 (-.f64 1 (+.f64 1 (/.f64 u1 (+.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.9b
(*.f64 (sqrt.f64 (*.f64 (-.f64 u1 -1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
11.8b
(*.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 u1 -1) (*.f64 u1 (fma.f64 u1 u1 u1))) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.5b
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
36.1b
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b
(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (*.f64 (pow.f64 (/.f64 u1 (-.f64 u1 1)) 2) (-.f64 1 u1)) u1) (/.f64 u1 (-.f64 1 u1)))))
25.6b
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
25.6b
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
25.6b
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
40.2b
(sqrt.f64 u1)
0.7b
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))
Compiler

Compiled 894 to 695 computations (22.3% saved)

regimes441.0ms (0.5%)

Counts
68 → 1
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 u1 -1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
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(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))))
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(*.f64 (if (!=.f64 u1 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (+.f64 -1 u1)) 2)) 3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 u1 1)) 0) (/.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 2) 1/3) (/.f64 u1 (-.f64 1 u1))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (*.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 u2 314159265359/50000000000))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 u2 314159265359/50000000000)) 2))))
Outputs
(*.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Calls

8 calls:

71.0ms
(*.f64 314159265359/50000000000 u2)
55.0ms
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
53.0ms
(/.f64 u1 (-.f64 1 u1))
53.0ms
u1
41.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
Results
ErrorSegmentsBranch
0.4b1cosTheta_i
0.4b1u1
0.4b1u2
0.4b1(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.4b1(/.f64 u1 (-.f64 1 u1))
0.4b1(cos.f64 (*.f64 314159265359/50000000000 u2))
0.4b1(*.f64 314159265359/50000000000 u2)
Compiler

Compiled 1555 to 1147 computations (26.2% saved)

regimes149.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 u1 -1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Calls

8 calls:

27.0ms
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
21.0ms
u2
19.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
18.0ms
(*.f64 314159265359/50000000000 u2)
15.0ms
u1
Results
ErrorSegmentsBranch
0.4b1cosTheta_i
0.4b1u1
0.4b1u2
0.4b1(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.4b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
0.4b1(/.f64 u1 (-.f64 1 u1))
0.4b1(cos.f64 (*.f64 314159265359/50000000000 u2))
0.4b1(*.f64 314159265359/50000000000 u2)
Compiler

Compiled 203 to 150 computations (26.1% saved)

regimes174.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 u1 -1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 u1 -1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Calls

7 calls:

38.0ms
(cos.f64 (*.f64 314159265359/50000000000 u2))
36.0ms
u1
24.0ms
(*.f64 314159265359/50000000000 u2)
22.0ms
u2
21.0ms
(/.f64 u1 (-.f64 1 u1))
Results
ErrorSegmentsBranch
13.9b1cosTheta_i
9.8b2u1
8.5b2u2
9.8b2(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
9.8b2(/.f64 u1 (-.f64 1 u1))
8.5b2(cos.f64 (*.f64 314159265359/50000000000 u2))
8.5b2(*.f64 314159265359/50000000000 u2)
Compiler

Compiled 178 to 131 computations (26.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01051470063694468
0.010575750505814527
Compiler

Compiled 20 to 16 computations (20% saved)

regimes91.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Outputs
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 u1) (cos.f64 (*.f64 314159265359/50000000000 u2)))
Calls

7 calls:

22.0ms
u2
17.0ms
(cos.f64 (*.f64 314159265359/50000000000 u2))
12.0ms
(/.f64 u1 (-.f64 1 u1))
12.0ms
(*.f64 314159265359/50000000000 u2)
11.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
Results
ErrorSegmentsBranch
13.9b1cosTheta_i
13.9b1u1
11.8b2u2
13.9b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
13.9b1(/.f64 u1 (-.f64 1 u1))
11.9b2(cos.f64 (*.f64 314159265359/50000000000 u2))
11.8b2(*.f64 314159265359/50000000000 u2)
Compiler

Compiled 167 to 123 computations (26.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.15096388098277286
0.16205056417725097
Compiler

Compiled 20 to 16 computations (20% saved)

regimes80.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
(*.f64 (-.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) -1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Calls

5 calls:

33.0ms
cosTheta_i
11.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
11.0ms
(/.f64 u1 (-.f64 1 u1))
11.0ms
u1
7.0ms
u2
Results
ErrorSegmentsBranch
13.9b1cosTheta_i
13.9b1u1
13.9b1u2
13.9b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
13.9b1(/.f64 u1 (-.f64 1 u1))
Compiler

Compiled 147 to 108 computations (26.5% saved)

regimes63.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (*.f64 (/.f64 -1 (+.f64 u1 -1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 u1 0) (/.f64 (+.f64 1 (*.f64 1/2 u1)) (pow.f64 u1 -1/2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
Outputs
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
Calls

5 calls:

19.0ms
(/.f64 u1 (-.f64 1 u1))
12.0ms
cosTheta_i
10.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
8.0ms
u2
7.0ms
u1
Results
ErrorSegmentsBranch
25.6b1cosTheta_i
25.6b1u1
25.6b1u2
25.6b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
25.6b1(/.f64 u1 (-.f64 1 u1))
Compiler

Compiled 110 to 81 computations (26.4% saved)

regimes35.0ms (0%)

Accuracy

Total -14.7b remaining (-57.3%)

Threshold costs -14.7b (-57.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 u1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
Calls

5 calls:

8.0ms
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
7.0ms
(/.f64 u1 (-.f64 1 u1))
6.0ms
u2
6.0ms
cosTheta_i
6.0ms
u1
Results
ErrorSegmentsBranch
25.6b1cosTheta_i
25.6b1u1
25.6b1u2
25.6b1(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
25.6b1(/.f64 u1 (-.f64 1 u1))
Compiler

Compiled 40 to 30 computations (25% saved)

simplify7.0ms (0%)

Stop Event
fuel
Compiler

Compiled 134 to 104 computations (22.4% saved)

soundness0.0ms (0%)

end120.0ms (0.1%)

Compiler

Compiled 113 to 80 computations (29.2% saved)

Profiling

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